[{"type":"journal_article","status":"public","user_id":"100441","department":[{"_id":"841"}],"_id":"45969","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"citation":{"mla":"Elliott, Charles M., et al. “Numerical Analysis for the Interaction of Mean Curvature Flow and Diffusion on Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 151, no. 4, Springer Science and Business Media LLC, 2022, pp. 873–925, doi:<a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>.","bibtex":"@article{Elliott_Garcke_Kovács_2022, title={Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces}, volume={151}, DOI={<a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Elliott, Charles M. and Garcke, Harald and Kovács, Balázs}, year={2022}, pages={873–925} }","short":"C.M. Elliott, H. Garcke, B. Kovács, Numerische Mathematik 151 (2022) 873–925.","apa":"Elliott, C. M., Garcke, H., &#38; Kovács, B. (2022). Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. <i>Numerische Mathematik</i>, <i>151</i>(4), 873–925. <a href=\"https://doi.org/10.1007/s00211-022-01301-3\">https://doi.org/10.1007/s00211-022-01301-3</a>","ama":"Elliott CM, Garcke H, Kovács B. Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. <i>Numerische Mathematik</i>. 2022;151(4):873-925. doi:<a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>","ieee":"C. M. Elliott, H. Garcke, and B. Kovács, “Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces,” <i>Numerische Mathematik</i>, vol. 151, no. 4, pp. 873–925, 2022, doi: <a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>.","chicago":"Elliott, Charles M., Harald Garcke, and Balázs Kovács. “Numerical Analysis for the Interaction of Mean Curvature Flow and Diffusion on Closed Surfaces.” <i>Numerische Mathematik</i> 151, no. 4 (2022): 873–925. <a href=\"https://doi.org/10.1007/s00211-022-01301-3\">https://doi.org/10.1007/s00211-022-01301-3</a>."},"page":"873-925","intvolume":"       151","author":[{"first_name":"Charles M.","full_name":"Elliott, Charles M.","last_name":"Elliott"},{"first_name":"Harald","full_name":"Garcke, Harald","last_name":"Garcke"},{"last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs"}],"volume":151,"date_updated":"2024-04-03T09:15:44Z","doi":"10.1007/s00211-022-01301-3","publication":"Numerische Mathematik","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>An evolving surface finite element discretisation is analysed for the evolution of a closed two-dimensional surface governed by a system coupling a generalised forced mean curvature flow and a reaction–diffusion process on the surface, inspired by a gradient flow of a coupled energy. Two algorithms are proposed, both based on a system coupling the diffusion equation to evolution equations for geometric quantities in the velocity law for the surface. One of the numerical methods is proved to be convergent in the<jats:inline-formula><jats:alternatives><jats:tex-math>$$H^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math></jats:alternatives></jats:inline-formula>norm with optimal-order for finite elements of degree at least two. We present numerical experiments illustrating the convergence behaviour and demonstrating the qualitative properties of the flow: preservation of mean convexity, loss of convexity, weak maximum principles, and the occurrence of self-intersections.</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"],"issue":"4","year":"2022","date_created":"2023-07-10T11:47:11Z","publisher":"Springer Science and Business Media LLC","title":"Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces"},{"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"],"department":[{"_id":"841"}],"user_id":"100441","_id":"45963","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this includes a thin coating around a perfect conductor and the skin effect of a highly conducting material. The approach taken in this work is to derive, analyse and discretize a system of time-dependent boundary integral equations that determines the tangential traces of the scattered electric and magnetic fields. In a familiar second step, the fields are evaluated in the exterior domain by a representation formula, which uses the time-dependent potential operators of Maxwell’s equations. The time-dependent boundary integral equation is discretized with Runge–Kutta based convolution quadrature in time and Raviart–Thomas boundary elements in space. Using the frequency-explicit bounds from the well-posedness analysis given here together with known approximation properties of the numerical methods, the full discretization is proved to be stable and convergent, with explicitly given rates in the case of sufficient regularity. Taking the same Runge–Kutta based convolution quadrature for discretizing the time-dependent representation formulas, the optimal order of convergence is obtained away from the scattering boundary, whereas an order reduction occurs close to the boundary. The theoretical results are illustrated by numerical experiments.</jats:p>","lang":"eng"}],"publication":"Numerische Mathematik","type":"journal_article","doi":"10.1007/s00211-022-01277-0","title":"Time-dependent electromagnetic scattering from thin layers","volume":150,"author":[{"last_name":"Nick","full_name":"Nick, Jörg","first_name":"Jörg"},{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441"},{"first_name":"Christian","full_name":"Lubich, Christian","last_name":"Lubich"}],"date_created":"2023-07-10T11:44:57Z","publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-03T09:18:23Z","page":"1123-1164","intvolume":"       150","citation":{"apa":"Nick, J., Kovács, B., &#38; Lubich, C. (2022). Time-dependent electromagnetic scattering from thin layers. <i>Numerische Mathematik</i>, <i>150</i>(4), 1123–1164. <a href=\"https://doi.org/10.1007/s00211-022-01277-0\">https://doi.org/10.1007/s00211-022-01277-0</a>","mla":"Nick, Jörg, et al. “Time-Dependent Electromagnetic Scattering from Thin Layers.” <i>Numerische Mathematik</i>, vol. 150, no. 4, Springer Science and Business Media LLC, 2022, pp. 1123–64, doi:<a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>.","short":"J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 150 (2022) 1123–1164.","bibtex":"@article{Nick_Kovács_Lubich_2022, title={Time-dependent electromagnetic scattering from thin layers}, volume={150}, DOI={<a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2022}, pages={1123–1164} }","chicago":"Nick, Jörg, Balázs Kovács, and Christian Lubich. “Time-Dependent Electromagnetic Scattering from Thin Layers.” <i>Numerische Mathematik</i> 150, no. 4 (2022): 1123–64. <a href=\"https://doi.org/10.1007/s00211-022-01277-0\">https://doi.org/10.1007/s00211-022-01277-0</a>.","ieee":"J. Nick, B. Kovács, and C. Lubich, “Time-dependent electromagnetic scattering from thin layers,” <i>Numerische Mathematik</i>, vol. 150, no. 4, pp. 1123–1164, 2022, doi: <a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>.","ama":"Nick J, Kovács B, Lubich C. Time-dependent electromagnetic scattering from thin layers. <i>Numerische Mathematik</i>. 2022;150(4):1123-1164. doi:<a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>"},"year":"2022","issue":"4","publication_identifier":{"issn":["0029-599X","0945-3245"]},"publication_status":"published"},{"publisher":"Oxford University Press (OUP)","date_updated":"2024-04-03T09:17:59Z","author":[{"first_name":"Balázs","id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474"},{"last_name":"Li","full_name":"Li, Buyang","first_name":"Buyang"}],"date_created":"2023-07-10T11:45:14Z","title":"Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems","doi":"10.1093/imanum/drac033","publication_identifier":{"issn":["0272-4979","1464-3642"]},"publication_status":"published","year":"2022","citation":{"ama":"Kovács B, Li B. Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. <i>IMA Journal of Numerical Analysis</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>","ieee":"B. Kovács and B. Li, “Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems,” <i>IMA Journal of Numerical Analysis</i>, 2022, doi: <a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>.","chicago":"Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference Time Discretization for Evolving Surface PDEs and Its Application to Nonlinear Problems.” <i>IMA Journal of Numerical Analysis</i>, 2022. <a href=\"https://doi.org/10.1093/imanum/drac033\">https://doi.org/10.1093/imanum/drac033</a>.","mla":"Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference Time Discretization for Evolving Surface PDEs and Its Application to Nonlinear Problems.” <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2022, doi:<a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>.","short":"B. Kovács, B. Li, IMA Journal of Numerical Analysis (2022).","bibtex":"@article{Kovács_Li_2022, title={Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems}, DOI={<a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs and Li, Buyang}, year={2022} }","apa":"Kovács, B., &#38; Li, B. (2022). Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/drac033\">https://doi.org/10.1093/imanum/drac033</a>"},"_id":"45964","department":[{"_id":"841"}],"user_id":"100441","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"publication":"IMA Journal of Numerical Analysis","type":"journal_article","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Maximal parabolic $L^p$-regularity of linear parabolic equations on an evolving surface is shown by pulling back the problem to the initial surface and studying the maximal $L^p$-regularity on a fixed surface. By freezing the coefficients in the parabolic equations at a fixed time and utilizing a perturbation argument around the freezed time, it is shown that backward difference time discretizations of linear parabolic equations on an evolving surface along characteristic trajectories can preserve maximal $L^p$-regularity in the discrete setting. The result is applied to prove the stability and convergence of time discretizations of nonlinear parabolic equations on an evolving surface, with linearly implicit backward differentiation formulae characteristic trajectories of the surface, for general locally Lipschitz nonlinearities. The discrete maximal $L^p$-regularity is used to prove the boundedness and stability of numerical solutions in the $L^\\infty (0,T;W^{1,\\infty })$ norm, which is used to bound the nonlinear terms in the stability analysis. Optimal-order error estimates of time discretizations in the $L^\\infty (0,T;W^{1,\\infty })$ norm is obtained by combining the stability analysis with the consistency estimates.</jats:p>","lang":"eng"}],"status":"public"},{"page":"950-975","intvolume":"        43","citation":{"ama":"Altmann R, Kovács B, Zimmer C. Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2022;43(2):950-975. doi:<a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>","ieee":"R. Altmann, B. Kovács, and C. Zimmer, “Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol. 43, no. 2, pp. 950–975, 2022, doi: <a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>.","chicago":"Altmann, Robert, Balázs Kovács, and Christoph Zimmer. “Bulk–Surface Lie Splitting for Parabolic Problems with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i> 43, no. 2 (2022): 950–75. <a href=\"https://doi.org/10.1093/imanum/drac002\">https://doi.org/10.1093/imanum/drac002</a>.","apa":"Altmann, R., Kovács, B., &#38; Zimmer, C. (2022). Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>, <i>43</i>(2), 950–975. <a href=\"https://doi.org/10.1093/imanum/drac002\">https://doi.org/10.1093/imanum/drac002</a>","short":"R. Altmann, B. Kovács, C. Zimmer, IMA Journal of Numerical Analysis 43 (2022) 950–975.","mla":"Altmann, Robert, et al. “Bulk–Surface Lie Splitting for Parabolic Problems with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol. 43, no. 2, Oxford University Press (OUP), 2022, pp. 950–75, doi:<a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>.","bibtex":"@article{Altmann_Kovács_Zimmer_2022, title={Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions}, volume={43}, DOI={<a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Altmann, Robert and Kovács, Balázs and Zimmer, Christoph}, year={2022}, pages={950–975} }"},"year":"2022","issue":"2","publication_identifier":{"issn":["0272-4979","1464-3642"]},"publication_status":"published","doi":"10.1093/imanum/drac002","title":"Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions","volume":43,"author":[{"full_name":"Altmann, Robert","last_name":"Altmann","first_name":"Robert"},{"id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs"},{"full_name":"Zimmer, Christoph","last_name":"Zimmer","first_name":"Christoph"}],"date_created":"2023-07-10T11:45:49Z","date_updated":"2024-04-03T09:16:47Z","publisher":"Oxford University Press (OUP)","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>This paper studies bulk–surface splitting methods of first order for (semilinear) parabolic partial differential equations with dynamic boundary conditions. The proposed Lie splitting scheme is based on a reformulation of the problem as a coupled partial differential–algebraic equation system, i.e., the boundary conditions are considered as a second dynamic equation that is coupled to the bulk problem. The splitting approach is combined with bulk–surface finite elements and an implicit Euler discretization of the two subsystems. We prove first-order convergence of the resulting fully discrete scheme in the presence of a weak CFL condition of the form $\\tau \\leqslant c h$ for some constant $c&amp;gt;0$. The convergence is also illustrated numerically using dynamic boundary conditions of Allen–Cahn type.</jats:p>","lang":"eng"}],"publication":"IMA Journal of Numerical Analysis","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"department":[{"_id":"841"}],"user_id":"100441","_id":"45966"},{"publication_identifier":{"issn":["0272-4979","1464-3642"]},"publication_status":"published","citation":{"short":"P. Csomós, B. Farkas, B. Kovács, IMA Journal of Numerical Analysis (2022).","mla":"Csomós, Petra, et al. “Error Estimates for a Splitting Integrator for Abstract Semilinear Boundary Coupled Systems.” <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2022, doi:<a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>.","bibtex":"@article{Csomós_Farkas_Kovács_2022, title={Error estimates for a splitting integrator for abstract semilinear boundary coupled systems}, DOI={<a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Csomós, Petra and Farkas, Bálint and Kovács, Balázs}, year={2022} }","apa":"Csomós, P., Farkas, B., &#38; Kovács, B. (2022). Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/drac079\">https://doi.org/10.1093/imanum/drac079</a>","ieee":"P. Csomós, B. Farkas, and B. Kovács, “Error estimates for a splitting integrator for abstract semilinear boundary coupled systems,” <i>IMA Journal of Numerical Analysis</i>, 2022, doi: <a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>.","chicago":"Csomós, Petra, Bálint Farkas, and Balázs Kovács. “Error Estimates for a Splitting Integrator for Abstract Semilinear Boundary Coupled Systems.” <i>IMA Journal of Numerical Analysis</i>, 2022. <a href=\"https://doi.org/10.1093/imanum/drac079\">https://doi.org/10.1093/imanum/drac079</a>.","ama":"Csomós P, Farkas B, Kovács B. Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. <i>IMA Journal of Numerical Analysis</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>"},"year":"2022","date_created":"2023-07-10T11:46:54Z","author":[{"last_name":"Csomós","full_name":"Csomós, Petra","first_name":"Petra"},{"full_name":"Farkas, Bálint","last_name":"Farkas","first_name":"Bálint"},{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441"}],"publisher":"Oxford University Press (OUP)","date_updated":"2024-04-03T09:15:52Z","doi":"10.1093/imanum/drac079","title":"Error estimates for a splitting integrator for abstract semilinear boundary coupled systems","publication":"IMA Journal of Numerical Analysis","type":"journal_article","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>We derive a numerical method, based on operator splitting, to abstract parabolic semilinear boundary coupled systems. The method decouples the linear components that describe the coupling and the dynamics in the abstract bulk- and surface-spaces, and treats the nonlinear terms similarly to an exponential integrator. The convergence proof is based on estimates for a recursive formulation of the error, using the parabolic smoothing property of analytic semigroups, and a careful comparison of the exact and approximate flows. This analysis also requires a deep understanding of the effects of the Dirichlet operator (the abstract version of the harmonic extension operator), which is essential for the stable coupling in our method. Numerical experiments, including problems with dynamic boundary conditions, reporting on convergence rates are presented.</jats:p>"}],"department":[{"_id":"841"}],"user_id":"100441","_id":"45968","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"]},{"issue":"1","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"citation":{"ieee":"C. A. Beschle and B. Kovács, “Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces,” <i>Numerische Mathematik</i>, vol. 151, no. 1, pp. 1–48, 2022, doi: <a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>.","chicago":"Beschle, Cedric Aaron, and Balázs Kovács. “Stability and Error Estimates for Non-Linear Cahn–Hilliard-Type Equations on Evolving Surfaces.” <i>Numerische Mathematik</i> 151, no. 1 (2022): 1–48. <a href=\"https://doi.org/10.1007/s00211-022-01280-5\">https://doi.org/10.1007/s00211-022-01280-5</a>.","ama":"Beschle CA, Kovács B. Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. <i>Numerische Mathematik</i>. 2022;151(1):1-48. doi:<a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>","short":"C.A. Beschle, B. Kovács, Numerische Mathematik 151 (2022) 1–48.","mla":"Beschle, Cedric Aaron, and Balázs Kovács. “Stability and Error Estimates for Non-Linear Cahn–Hilliard-Type Equations on Evolving Surfaces.” <i>Numerische Mathematik</i>, vol. 151, no. 1, Springer Science and Business Media LLC, 2022, pp. 1–48, doi:<a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>.","bibtex":"@article{Beschle_Kovács_2022, title={Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces}, volume={151}, DOI={<a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>}, number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Beschle, Cedric Aaron and Kovács, Balázs}, year={2022}, pages={1–48} }","apa":"Beschle, C. A., &#38; Kovács, B. (2022). Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. <i>Numerische Mathematik</i>, <i>151</i>(1), 1–48. <a href=\"https://doi.org/10.1007/s00211-022-01280-5\">https://doi.org/10.1007/s00211-022-01280-5</a>"},"page":"1-48","intvolume":"       151","year":"2022","author":[{"first_name":"Cedric Aaron","last_name":"Beschle","full_name":"Beschle, Cedric Aaron"},{"full_name":"Kovács, Balázs","id":"100441","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"}],"date_created":"2023-07-10T11:43:44Z","volume":151,"date_updated":"2024-04-03T09:19:34Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s00211-022-01280-5","title":"Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces","type":"journal_article","publication":"Numerische Mathematik","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>In this paper, we consider a non-linear fourth-order evolution equation of Cahn–Hilliard-type on evolving surfaces with prescribed velocity, where the non-linear terms are only assumed to have locally Lipschitz derivatives. High-order evolving surface finite elements are used to discretise the weak equation system in space, and a modified matrix–vector formulation for the semi-discrete problem is derived. The anti-symmetric structure of the equation system is preserved by the spatial discretisation. A new stability proof, based on this structure, combined with consistency bounds proves optimal-order and uniform-in-time error estimates. The paper is concluded by a variety of numerical experiments.</jats:p>","lang":"eng"}],"user_id":"100441","department":[{"_id":"841"}],"_id":"45958","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"]},{"abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>The full Maxwell equations in the unbounded three-dimensional space coupled to the Landau–Lifshitz–Gilbert equation serve as a well-tested model for ferromagnetic materials.\r\nWe propose a weak formulation of the coupled system based on the boundary integral formulation of the exterior Maxwell equations.\r\nWe show existence and partial uniqueness of a weak solution and propose a new numerical algorithm based on finite elements and boundary elements as spatial discretization with backward Euler and convolution quadrature for the time domain.\r\nThis is the first numerical algorithm which is able to deal with the coupled system of Landau–Lifshitz–Gilbert equation and full Maxwell’s equations without any simplifications like quasi-static approximations (e.g. eddy current model) and without restrictions on the shape of the domain (e.g. convexity).\r\nWe show well-posedness and convergence of the numerical algorithm under minimal assumptions on the regularity of the solution.\r\nThis is particularly important as there are few regularity results available and one generally expects the solution to be non-smooth.\r\nNumerical experiments illustrate and expand on the theoretical results.</jats:p>","lang":"eng"}],"publication":"Computational Methods in Applied Mathematics","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis"],"year":"2022","issue":"1","title":"FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation","date_created":"2023-07-10T11:43:13Z","publisher":"Walter de Gruyter GmbH","status":"public","type":"journal_article","user_id":"100441","department":[{"_id":"841"}],"_id":"45956","citation":{"ama":"Bohn J, Feischl M, Kovács B. FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. <i>Computational Methods in Applied Mathematics</i>. 2022;23(1):19-48. doi:<a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>","chicago":"Bohn, Jan, Michael Feischl, and Balázs Kovács. “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation.” <i>Computational Methods in Applied Mathematics</i> 23, no. 1 (2022): 19–48. <a href=\"https://doi.org/10.1515/cmam-2022-0145\">https://doi.org/10.1515/cmam-2022-0145</a>.","ieee":"J. Bohn, M. Feischl, and B. Kovács, “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation,” <i>Computational Methods in Applied Mathematics</i>, vol. 23, no. 1, pp. 19–48, 2022, doi: <a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>.","bibtex":"@article{Bohn_Feischl_Kovács_2022, title={FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation}, volume={23}, DOI={<a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>}, number={1}, journal={Computational Methods in Applied Mathematics}, publisher={Walter de Gruyter GmbH}, author={Bohn, Jan and Feischl, Michael and Kovács, Balázs}, year={2022}, pages={19–48} }","short":"J. Bohn, M. Feischl, B. Kovács, Computational Methods in Applied Mathematics 23 (2022) 19–48.","mla":"Bohn, Jan, et al. “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation.” <i>Computational Methods in Applied Mathematics</i>, vol. 23, no. 1, Walter de Gruyter GmbH, 2022, pp. 19–48, doi:<a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>.","apa":"Bohn, J., Feischl, M., &#38; Kovács, B. (2022). FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. <i>Computational Methods in Applied Mathematics</i>, <i>23</i>(1), 19–48. <a href=\"https://doi.org/10.1515/cmam-2022-0145\">https://doi.org/10.1515/cmam-2022-0145</a>"},"intvolume":"        23","page":"19-48","publication_status":"published","publication_identifier":{"issn":["1609-4840","1609-9389"]},"doi":"10.1515/cmam-2022-0145","author":[{"last_name":"Bohn","full_name":"Bohn, Jan","first_name":"Jan"},{"last_name":"Feischl","full_name":"Feischl, Michael","first_name":"Michael"},{"id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"}],"volume":23,"date_updated":"2024-04-03T09:20:30Z"},{"type":"journal_article","publication":"Communications in Contemporary Mathematics","status":"public","abstract":[{"lang":"eng","text":"<jats:p> The chemotaxis system [Formula: see text] is considered in a ball [Formula: see text], [Formula: see text], where the positive function [Formula: see text] reflects suitably weak diffusion by satisfying [Formula: see text] for some [Formula: see text]. It is shown that whenever [Formula: see text] is positive and satisfies [Formula: see text] as [Formula: see text], one can find a suitably regular nonlinearity [Formula: see text] with the property that at each sufficiently large mass level [Formula: see text] there exists a globally defined radially symmetric classical solution to a Neumann-type boundary value problem for (⋆) which satisfies [Formula: see text] </jats:p>"}],"user_id":"31496","_id":"53321","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"issue":"10","publication_status":"published","publication_identifier":{"issn":["0219-1997","1793-6683"]},"citation":{"chicago":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>.","ieee":"M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2022, doi: <a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","ama":"Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>","mla":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, World Scientific Pub Co Pte Ltd, 2022, doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","bibtex":"@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>}, number={10}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }","short":"M. Winkler, Communications in Contemporary Mathematics 25 (2022).","apa":"Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>"},"intvolume":"        25","year":"2022","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_created":"2024-04-07T12:35:09Z","volume":25,"publisher":"World Scientific Pub Co Pte Ltd","date_updated":"2024-04-07T12:35:53Z","doi":"10.1142/s0219199722500626","title":"Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems"},{"_id":"53327","user_id":"31496","keyword":["Analysis","Applied Mathematics"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Journal of Differential Equations","status":"public","publisher":"Elsevier BV","date_updated":"2024-04-07T12:42:32Z","date_created":"2024-04-07T12:42:28Z","author":[{"last_name":"Tao","full_name":"Tao, Youshan","first_name":"Youshan"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"volume":343,"title":"Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension","doi":"10.1016/j.jde.2022.10.022","publication_status":"published","publication_identifier":{"issn":["0022-0396"]},"year":"2022","citation":{"apa":"Tao, Y., &#38; Winkler, M. (2022). Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal of Differential Equations</i>, <i>343</i>, 390–418. <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">https://doi.org/10.1016/j.jde.2022.10.022</a>","mla":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” <i>Journal of Differential Equations</i>, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>.","bibtex":"@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }","short":"Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.","chicago":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” <i>Journal of Differential Equations</i> 343 (2022): 390–418. <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">https://doi.org/10.1016/j.jde.2022.10.022</a>.","ieee":"Y. Tao and M. Winkler, “Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension,” <i>Journal of Differential Equations</i>, vol. 343, pp. 390–418, 2022, doi: <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>.","ama":"Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal of Differential Equations</i>. 2022;343:390-418. doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>"},"page":"390-418","intvolume":"       343"},{"doi":"10.1016/j.na.2022.113153","title":"Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing","volume":226,"date_created":"2024-04-07T12:41:15Z","author":[{"first_name":"Laurent","last_name":"Desvillettes","full_name":"Desvillettes, Laurent"},{"full_name":"Laurençot, Philippe","last_name":"Laurençot","first_name":"Philippe"},{"first_name":"Ariane","full_name":"Trescases, Ariane","last_name":"Trescases"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_updated":"2024-04-07T12:41:20Z","publisher":"Elsevier BV","intvolume":"       226","citation":{"chicago":"Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i> 226 (2022). <a href=\"https://doi.org/10.1016/j.na.2022.113153\">https://doi.org/10.1016/j.na.2022.113153</a>.","ieee":"L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing,” <i>Nonlinear Analysis</i>, vol. 226, Art. no. 113153, 2022, doi: <a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>.","ama":"Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>. 2022;226. doi:<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>","apa":"Desvillettes, L., Laurençot, P., Trescases, A., &#38; Winkler, M. (2022). Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>, <i>226</i>, Article 113153. <a href=\"https://doi.org/10.1016/j.na.2022.113153\">https://doi.org/10.1016/j.na.2022.113153</a>","mla":"Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i>, vol. 226, 113153, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>.","short":"L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).","bibtex":"@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing}, volume={226}, DOI={<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>}, number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes, Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022} }"},"year":"2022","publication_identifier":{"issn":["0362-546X"]},"publication_status":"published","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"article_number":"113153","user_id":"31496","_id":"53325","status":"public","publication":"Nonlinear Analysis","type":"journal_article"},{"year":"2022","issue":"5","title":"The role of learning strategies for performance in mathematics courses for engineers","date_created":"2023-01-10T08:56:30Z","publisher":"Informa UK Limited","publication":"International Journal of Mathematical Education in Science and Technology","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"page":"1133-1152","intvolume":"        53","citation":{"ama":"Liebendörfer M, Göller R, Gildehaus L, et al. The role of learning strategies for performance in mathematics courses for engineers. <i>International Journal of Mathematical Education in Science and Technology</i>. 2022;53(5):1133-1152. doi:<a href=\"https://doi.org/10.1080/0020739x.2021.2023772\">10.1080/0020739x.2021.2023772</a>","ieee":"M. Liebendörfer <i>et al.</i>, “The role of learning strategies for performance in mathematics courses for engineers,” <i>International Journal of Mathematical Education in Science and Technology</i>, vol. 53, no. 5, pp. 1133–1152, 2022, doi: <a href=\"https://doi.org/10.1080/0020739x.2021.2023772\">10.1080/0020739x.2021.2023772</a>.","chicago":"Liebendörfer, Michael, Robin Göller, Lara Gildehaus, Jörg Kortemeyer, Rolf Biehler, Reinhard Hochmuth, Laura Ostsieker, Jana Rode, and Niclas Schaper. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” <i>International Journal of Mathematical Education in Science and Technology</i> 53, no. 5 (2022): 1133–52. <a href=\"https://doi.org/10.1080/0020739x.2021.2023772\">https://doi.org/10.1080/0020739x.2021.2023772</a>.","apa":"Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth, R., Ostsieker, L., Rode, J., &#38; Schaper, N. (2022). The role of learning strategies for performance in mathematics courses for engineers. <i>International Journal of Mathematical Education in Science and Technology</i>, <i>53</i>(5), 1133–1152. <a href=\"https://doi.org/10.1080/0020739x.2021.2023772\">https://doi.org/10.1080/0020739x.2021.2023772</a>","short":"M. Liebendörfer, R. Göller, L. Gildehaus, J. Kortemeyer, R. Biehler, R. Hochmuth, L. Ostsieker, J. Rode, N. Schaper, International Journal of Mathematical Education in Science and Technology 53 (2022) 1133–1152.","mla":"Liebendörfer, Michael, et al. “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.” <i>International Journal of Mathematical Education in Science and Technology</i>, vol. 53, no. 5, Informa UK Limited, 2022, pp. 1133–52, doi:<a href=\"https://doi.org/10.1080/0020739x.2021.2023772\">10.1080/0020739x.2021.2023772</a>.","bibtex":"@article{Liebendörfer_Göller_Gildehaus_Kortemeyer_Biehler_Hochmuth_Ostsieker_Rode_Schaper_2022, title={The role of learning strategies for performance in mathematics courses for engineers}, volume={53}, DOI={<a href=\"https://doi.org/10.1080/0020739x.2021.2023772\">10.1080/0020739x.2021.2023772</a>}, number={5}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Liebendörfer, Michael and Göller, Robin and Gildehaus, Lara and Kortemeyer, Jörg and Biehler, Rolf and Hochmuth, Reinhard and Ostsieker, Laura and Rode, Jana and Schaper, Niclas}, year={2022}, pages={1133–1152} }"},"publication_identifier":{"issn":["0020-739X","1464-5211"]},"publication_status":"published","doi":"10.1080/0020739x.2021.2023772","volume":53,"author":[{"orcid":"0000-0001-9887-2074","last_name":"Liebendörfer","id":"30933","full_name":"Liebendörfer, Michael","first_name":"Michael"},{"last_name":"Göller","full_name":"Göller, Robin","first_name":"Robin"},{"last_name":"Gildehaus","full_name":"Gildehaus, Lara","first_name":"Lara"},{"full_name":"Kortemeyer, Jörg","last_name":"Kortemeyer","first_name":"Jörg"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"},{"first_name":"Reinhard","full_name":"Hochmuth, Reinhard","last_name":"Hochmuth"},{"last_name":"Ostsieker","full_name":"Ostsieker, Laura","first_name":"Laura"},{"first_name":"Jana","full_name":"Rode, Jana","last_name":"Rode"},{"first_name":"Niclas","last_name":"Schaper","full_name":"Schaper, Niclas"}],"date_updated":"2024-04-18T10:08:30Z","status":"public","type":"journal_article","department":[{"_id":"363"},{"_id":"625"}],"user_id":"37888","_id":"35685"},{"extern":"1","user_id":"99353","_id":"45849","status":"public","type":"journal_article","doi":"10.1007/s10472-021-09730-w","author":[{"first_name":"Yasir","full_name":"Mahmood, Yasir","id":"99353","last_name":"Mahmood"},{"first_name":"Arne","full_name":"Meier, Arne","last_name":"Meier"}],"volume":90,"date_updated":"2024-06-04T16:06:59Z","citation":{"short":"Y. Mahmood, A. Meier, Annals of Mathematics and Artificial Intelligence 90 (2022) 271–296.","mla":"Mahmood, Yasir, and Arne Meier. “Parameterised Complexity of Model Checking and Satisfiability in Propositional Dependence Logic.” <i>Annals of Mathematics and Artificial Intelligence</i>, vol. 90, no. 2–3, Springer Science and Business Media LLC, 2022, pp. 271–96, doi:<a href=\"https://doi.org/10.1007/s10472-021-09730-w\">10.1007/s10472-021-09730-w</a>.","bibtex":"@article{Mahmood_Meier_2022, title={Parameterised complexity of model checking and satisfiability in propositional dependence logic}, volume={90}, DOI={<a href=\"https://doi.org/10.1007/s10472-021-09730-w\">10.1007/s10472-021-09730-w</a>}, number={2–3}, journal={Annals of Mathematics and Artificial Intelligence}, publisher={Springer Science and Business Media LLC}, author={Mahmood, Yasir and Meier, Arne}, year={2022}, pages={271–296} }","apa":"Mahmood, Y., &#38; Meier, A. (2022). Parameterised complexity of model checking and satisfiability in propositional dependence logic. <i>Annals of Mathematics and Artificial Intelligence</i>, <i>90</i>(2–3), 271–296. <a href=\"https://doi.org/10.1007/s10472-021-09730-w\">https://doi.org/10.1007/s10472-021-09730-w</a>","ama":"Mahmood Y, Meier A. Parameterised complexity of model checking and satisfiability in propositional dependence logic. <i>Annals of Mathematics and Artificial Intelligence</i>. 2022;90(2-3):271-296. doi:<a href=\"https://doi.org/10.1007/s10472-021-09730-w\">10.1007/s10472-021-09730-w</a>","ieee":"Y. Mahmood and A. Meier, “Parameterised complexity of model checking and satisfiability in propositional dependence logic,” <i>Annals of Mathematics and Artificial Intelligence</i>, vol. 90, no. 2–3, pp. 271–296, 2022, doi: <a href=\"https://doi.org/10.1007/s10472-021-09730-w\">10.1007/s10472-021-09730-w</a>.","chicago":"Mahmood, Yasir, and Arne Meier. “Parameterised Complexity of Model Checking and Satisfiability in Propositional Dependence Logic.” <i>Annals of Mathematics and Artificial Intelligence</i> 90, no. 2–3 (2022): 271–96. <a href=\"https://doi.org/10.1007/s10472-021-09730-w\">https://doi.org/10.1007/s10472-021-09730-w</a>."},"intvolume":"        90","page":"271-296","publication_status":"published","publication_identifier":{"issn":["1012-2443","1573-7470"]},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Artificial Intelligence"],"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Dependence Logic was introduced by Jouko Väänänen in 2007. We study a propositional variant of this logic<jats:italic>(PDL)</jats:italic>and investigate a variety of parameterisations with respect to central decision problems. The model checking problem (MC) of<jats:italic>PDL</jats:italic>is<jats:bold>NP</jats:bold>-complete (Ebbing and Lohmann, SOFSEM 2012). The subject of this research is to identify a list of parameterisations (formula-size, formula-depth, treewidth, team-size, number of variables) under which MC becomes fixed-parameter tractable. Furthermore, we show that the number of disjunctions or the arity of dependence atoms (dep-arity) as a parameter both yield a paraNP-completeness result. Then, we consider the satisfiability problem (SAT) which classically is known to be<jats:bold>NP</jats:bold>-complete as well (Lohmann and Vollmer, Studia Logica 2013). There we are presenting a different picture: under team-size, or dep-arity SAT is<jats:bold>paraNP</jats:bold>-complete whereas under all other mentioned parameters the problem is<jats:bold>FPT</jats:bold>. Finally, we introduce a variant of the satisfiability problem, asking for a team of a given size, and show for this problem an almost complete picture.</jats:p>","lang":"eng"}],"publication":"Annals of Mathematics and Artificial Intelligence","title":"Parameterised complexity of model checking and satisfiability in propositional dependence logic","date_created":"2023-07-03T11:45:39Z","publisher":"Springer Science and Business Media LLC","year":"2022","issue":"2-3"},{"citation":{"bibtex":"@article{Butzhammer_Müller_Hausotte_2022, title={Calibration of 3D scan trajectories for an industrial computed tomography setup with 6-DOF object manipulator system using a single sphere}, volume={34}, DOI={<a href=\"https://doi.org/10.1088/1361-6501/ac9856\">10.1088/1361-6501/ac9856</a>}, number={1015403}, journal={Measurement Science and Technology}, publisher={IOP Publishing}, author={Butzhammer, Lorenz and Müller, Andreas Michael and Hausotte, Tino}, year={2022} }","short":"L. Butzhammer, A.M. Müller, T. Hausotte, Measurement Science and Technology 34 (2022).","mla":"Butzhammer, Lorenz, et al. “Calibration of 3D Scan Trajectories for an Industrial Computed Tomography Setup with 6-DOF Object Manipulator System Using a Single Sphere.” <i>Measurement Science and Technology</i>, vol. 34, no. 1, 015403, IOP Publishing, 2022, doi:<a href=\"https://doi.org/10.1088/1361-6501/ac9856\">10.1088/1361-6501/ac9856</a>.","apa":"Butzhammer, L., Müller, A. M., &#38; Hausotte, T. (2022). Calibration of 3D scan trajectories for an industrial computed tomography setup with 6-DOF object manipulator system using a single sphere. <i>Measurement Science and Technology</i>, <i>34</i>(1), Article 015403. <a href=\"https://doi.org/10.1088/1361-6501/ac9856\">https://doi.org/10.1088/1361-6501/ac9856</a>","ieee":"L. Butzhammer, A. M. Müller, and T. Hausotte, “Calibration of 3D scan trajectories for an industrial computed tomography setup with 6-DOF object manipulator system using a single sphere,” <i>Measurement Science and Technology</i>, vol. 34, no. 1, Art. no. 015403, 2022, doi: <a href=\"https://doi.org/10.1088/1361-6501/ac9856\">10.1088/1361-6501/ac9856</a>.","chicago":"Butzhammer, Lorenz, Andreas Michael Müller, and Tino Hausotte. “Calibration of 3D Scan Trajectories for an Industrial Computed Tomography Setup with 6-DOF Object Manipulator System Using a Single Sphere.” <i>Measurement Science and Technology</i> 34, no. 1 (2022). <a href=\"https://doi.org/10.1088/1361-6501/ac9856\">https://doi.org/10.1088/1361-6501/ac9856</a>.","ama":"Butzhammer L, Müller AM, Hausotte T. Calibration of 3D scan trajectories for an industrial computed tomography setup with 6-DOF object manipulator system using a single sphere. <i>Measurement Science and Technology</i>. 2022;34(1). doi:<a href=\"https://doi.org/10.1088/1361-6501/ac9856\">10.1088/1361-6501/ac9856</a>"},"intvolume":"        34","publication_status":"published","publication_identifier":{"issn":["0957-0233","1361-6501"]},"main_file_link":[{"url":"https://iopscience.iop.org/article/10.1088/1361-6501/ac9856","open_access":"1"}],"doi":"10.1088/1361-6501/ac9856","author":[{"full_name":"Butzhammer, Lorenz","last_name":"Butzhammer","first_name":"Lorenz"},{"last_name":"Müller","full_name":"Müller, Andreas Michael","first_name":"Andreas Michael"},{"first_name":"Tino","full_name":"Hausotte, Tino","last_name":"Hausotte"}],"volume":34,"oa":"1","date_updated":"2023-01-13T14:34:31Z","status":"public","type":"journal_article","article_number":"015403","user_id":"7850","department":[{"_id":"630"}],"project":[{"grant_number":"418701707","_id":"130","name":"TRR 285: TRR 285"},{"_id":"133","name":"TRR 285 - C: TRR 285 - Project Area C"},{"_id":"149","name":"TRR 285 – C05: TRR 285 - Subproject C05"}],"_id":"34264","year":"2022","issue":"1","title":"Calibration of 3D scan trajectories for an industrial computed tomography setup with 6-DOF object manipulator system using a single sphere","date_created":"2022-12-07T10:46:14Z","publisher":"IOP Publishing","abstract":[{"lang":"eng","text":"In industrial x-ray computed tomography (CT), the application of more complex scan paths in comparison to the typical circular trajectory (${360}^{\\circ}$ rotation of the measurement object) can extend the potential of CT. One way to enable such 3D scan trajectories is to use a 6-degrees-of-freedom (DOF) object manipulator system. In our case, a hexapod is mounted on top of the rotary table of a commercial CT scanner. This allows for adaptive tilting of the measurement object during the scan. For high accuracy, the geometry calibration of such setups is typically done using the x-ray projections of a calibrated multi-sphere object. Contrary to this, here, we demonstrate a procedure that is based on only a single sphere and can therefore experimentally be implemented with low effort. Using the intrinsic geometry parameters of the CT device as prior information, the hexapod coordinate system with respect to the CT machine coordinate system is determined by means of a one-step optimization approach. The resulting parameters are used to calculate projection matrices that enable the volume reconstruction for 3D scan trajectories. The method is validated using simulated x-ray images and experimental investigations including dimensional measurements. For the used setup, geometric measurement results for 3D scan trajectories that are calibrated with the presented method show in sum increased errors compared to the circular scans. A limited pose accuracy of the manipulator system is discussed as a potential cause. The results nevertheless indicate that the presented method is generally feasible for dimensional CT measurements provided that the pose accuracy is sufficient. The calibration procedure can therefore be a low-cost and easier to implement alternative compared to trajectory calibration methods based on multi-sphere objects, but with a tendency towards lower measurement accuracy. The methodology can in principle be transferred to different setups with 6-DOF manipulator systems, e.g. C-arm CT devices with a robot arm."}],"publication":"Measurement Science and Technology","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Instrumentation","Engineering (miscellaneous)"]},{"publication_identifier":{"issn":["2156-8472","2156-8499"]},"publication_status":"published","issue":"0","year":"2022","page":"0-0","citation":{"apa":"Bonnard, B., Rouot, J., &#38; Wembe Moafo, B. E. (2022). Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies. <i>Mathematical Control and Related Fields</i>, <i>0</i>(0), 0–0. <a href=\"https://doi.org/10.3934/mcrf.2022052\">https://doi.org/10.3934/mcrf.2022052</a>","ama":"Bonnard B, Rouot J, Wembe Moafo BE. Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies. <i>Mathematical Control and Related Fields</i>. 2022;0(0):0-0. doi:<a href=\"https://doi.org/10.3934/mcrf.2022052\">10.3934/mcrf.2022052</a>","short":"B. Bonnard, J. Rouot, B.E. Wembe Moafo, Mathematical Control and Related Fields 0 (2022) 0–0.","bibtex":"@article{Bonnard_Rouot_Wembe Moafo_2022, title={Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies}, volume={0}, DOI={<a href=\"https://doi.org/10.3934/mcrf.2022052\">10.3934/mcrf.2022052</a>}, number={0}, journal={Mathematical Control and Related Fields}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Bonnard, Bernard and Rouot, Jérémy and Wembe Moafo, Boris Edgar}, year={2022}, pages={0–0} }","mla":"Bonnard, Bernard, et al. “Accessibility Properties of Abnormal Geodesics in Optimal Control Illustrated by Two Case Studies.” <i>Mathematical Control and Related Fields</i>, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2022, pp. 0–0, doi:<a href=\"https://doi.org/10.3934/mcrf.2022052\">10.3934/mcrf.2022052</a>.","ieee":"B. Bonnard, J. Rouot, and B. E. Wembe Moafo, “Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies,” <i>Mathematical Control and Related Fields</i>, vol. 0, no. 0, pp. 0–0, 2022, doi: <a href=\"https://doi.org/10.3934/mcrf.2022052\">10.3934/mcrf.2022052</a>.","chicago":"Bonnard, Bernard, Jérémy Rouot, and Boris Edgar Wembe Moafo. “Accessibility Properties of Abnormal Geodesics in Optimal Control Illustrated by Two Case Studies.” <i>Mathematical Control and Related Fields</i> 0, no. 0 (2022): 0–0. <a href=\"https://doi.org/10.3934/mcrf.2022052\">https://doi.org/10.3934/mcrf.2022052</a>."},"date_updated":"2023-01-16T12:07:51Z","publisher":"American Institute of Mathematical Sciences (AIMS)","volume":"0","author":[{"first_name":"Bernard","last_name":"Bonnard","full_name":"Bonnard, Bernard"},{"first_name":"Jérémy","last_name":"Rouot","full_name":"Rouot, Jérémy"},{"first_name":"Boris Edgar","full_name":"Wembe Moafo, Boris Edgar","id":"95394","last_name":"Wembe Moafo"}],"date_created":"2023-01-04T10:26:56Z","title":"Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies","doi":"10.3934/mcrf.2022052","publication":"Mathematical Control and Related Fields","type":"journal_article","status":"public","_id":"35206","user_id":"95394","keyword":["Applied Mathematics","Control and Optimization","General Medicine"],"language":[{"iso":"eng"}]},{"title":"Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua","doi":"10.1007/s00466-021-02117-y","publisher":"Springer Science and Business Media LLC","date_updated":"2023-01-24T13:10:56Z","date_created":"2022-03-28T13:23:17Z","author":[{"first_name":"Xiaozhe","last_name":"Ju","full_name":"Ju, Xiaozhe"},{"last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335","first_name":"Rolf"},{"last_name":"Xu","full_name":"Xu, Yangjian","first_name":"Yangjian"},{"first_name":"Lihua","full_name":"Liang, Lihua","last_name":"Liang"}],"volume":69,"year":"2022","citation":{"short":"X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.","bibtex":"@article{Ju_Mahnken_Xu_Liang_2022, title={Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua}, volume={69}, DOI={<a href=\"https://doi.org/10.1007/s00466-021-02117-y\">10.1007/s00466-021-02117-y</a>}, number={3}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Ju, Xiaozhe and Mahnken, Rolf and Xu, Yangjian and Liang, Lihua}, year={2022}, pages={847–863} }","mla":"Ju, Xiaozhe, et al. “Goal-Oriented Error Estimation and h-Adaptive Finite Elements for Hyperelastic Micromorphic Continua.” <i>Computational Mechanics</i>, vol. 69, no. 3, Springer Science and Business Media LLC, 2022, pp. 847–63, doi:<a href=\"https://doi.org/10.1007/s00466-021-02117-y\">10.1007/s00466-021-02117-y</a>.","apa":"Ju, X., Mahnken, R., Xu, Y., &#38; Liang, L. (2022). Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua. <i>Computational Mechanics</i>, <i>69</i>(3), 847–863. <a href=\"https://doi.org/10.1007/s00466-021-02117-y\">https://doi.org/10.1007/s00466-021-02117-y</a>","ama":"Ju X, Mahnken R, Xu Y, Liang L. Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua. <i>Computational Mechanics</i>. 2022;69(3):847-863. doi:<a href=\"https://doi.org/10.1007/s00466-021-02117-y\">10.1007/s00466-021-02117-y</a>","chicago":"Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, and Lihua Liang. “Goal-Oriented Error Estimation and h-Adaptive Finite Elements for Hyperelastic Micromorphic Continua.” <i>Computational Mechanics</i> 69, no. 3 (2022): 847–63. <a href=\"https://doi.org/10.1007/s00466-021-02117-y\">https://doi.org/10.1007/s00466-021-02117-y</a>.","ieee":"X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua,” <i>Computational Mechanics</i>, vol. 69, no. 3, pp. 847–863, 2022, doi: <a href=\"https://doi.org/10.1007/s00466-021-02117-y\">10.1007/s00466-021-02117-y</a>."},"intvolume":"        69","page":"847-863","publication_status":"published","publication_identifier":{"issn":["0178-7675","1432-0924"]},"quality_controlled":"1","issue":"3","keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"language":[{"iso":"eng"}],"_id":"30655","user_id":"335","department":[{"_id":"9"},{"_id":"154"},{"_id":"321"}],"status":"public","type":"journal_article","publication":"Computational Mechanics"},{"publisher":"American Mathematical Society (AMS)","date_created":"2022-12-22T10:47:01Z","title":"ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group","issue":"7","year":"2022","external_id":{"arxiv":["2003.12161 "]},"keyword":["Applied Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"publication":"Proceedings of the American Mathematical Society","abstract":[{"text":"We describe the relations among the ℓ-torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjecture. We prove that the latter two conjectures are equivalent in some sense. Altogether, the three conjectures are equivalent for the class of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the other two conjectures for nilpotent groups.","lang":"eng"}],"date_updated":"2023-03-06T08:47:42Z","author":[{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"},{"last_name":"Wang","full_name":"Wang, Jiuya","first_name":"Jiuya"}],"volume":150,"doi":"10.1090/proc/15882","publication_status":"published","publication_identifier":{"issn":["0002-9939","1088-6826"]},"citation":{"chicago":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” <i>Proceedings of the American Mathematical Society</i> 150, no. 7 (2022): 2793–2805. <a href=\"https://doi.org/10.1090/proc/15882\">https://doi.org/10.1090/proc/15882</a>.","ieee":"J. Klüners and J. Wang, “ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group,” <i>Proceedings of the American Mathematical Society</i>, vol. 150, no. 7, pp. 2793–2805, 2022, doi: <a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>.","ama":"Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. <i>Proceedings of the American Mathematical Society</i>. 2022;150(7):2793-2805. doi:<a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>","short":"J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.","bibtex":"@article{Klüners_Wang_2022, title={ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}, volume={150}, DOI={<a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>}, number={7}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Wang, Jiuya}, year={2022}, pages={2793–2805} }","mla":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” <i>Proceedings of the American Mathematical Society</i>, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:<a href=\"https://doi.org/10.1090/proc/15882\">10.1090/proc/15882</a>.","apa":"Klüners, J., &#38; Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. <i>Proceedings of the American Mathematical Society</i>, <i>150</i>(7), 2793–2805. <a href=\"https://doi.org/10.1090/proc/15882\">https://doi.org/10.1090/proc/15882</a>"},"intvolume":"       150","page":"2793-2805","_id":"34839","user_id":"93826","department":[{"_id":"102"}],"type":"journal_article","status":"public"},{"title":"Modelling and simulation of zero-gravity distillation units with metal foams","publisher":"Elsevier BV","date_created":"2023-04-27T16:06:49Z","year":"2022","quality_controlled":"1","keyword":["Applied Mathematics","Industrial and Manufacturing Engineering","General Chemical Engineering","General Chemistry"],"language":[{"iso":"eng"}],"publication":"Chemical Engineering Science","doi":"10.1016/j.ces.2021.117097","date_updated":"2023-04-28T10:57:47Z","volume":247,"author":[{"first_name":"Marc","last_name":"Wende","full_name":"Wende, Marc","id":"71302"},{"first_name":"Christoph","full_name":"Staggenborg, Christoph","last_name":"Staggenborg"},{"first_name":"Eugeny Y.","id":"665","full_name":"Kenig, Eugeny Y.","last_name":"Kenig"}],"intvolume":"       247","citation":{"apa":"Wende, M., Staggenborg, C., &#38; Kenig, E. Y. (2022). Modelling and simulation of zero-gravity distillation units with metal foams. <i>Chemical Engineering Science</i>, <i>247</i>, Article 117097. <a href=\"https://doi.org/10.1016/j.ces.2021.117097\">https://doi.org/10.1016/j.ces.2021.117097</a>","mla":"Wende, Marc, et al. “Modelling and Simulation of Zero-Gravity Distillation Units with Metal Foams.” <i>Chemical Engineering Science</i>, vol. 247, 117097, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.ces.2021.117097\">10.1016/j.ces.2021.117097</a>.","short":"M. Wende, C. Staggenborg, E.Y. Kenig, Chemical Engineering Science 247 (2022).","bibtex":"@article{Wende_Staggenborg_Kenig_2022, title={Modelling and simulation of zero-gravity distillation units with metal foams}, volume={247}, DOI={<a href=\"https://doi.org/10.1016/j.ces.2021.117097\">10.1016/j.ces.2021.117097</a>}, number={117097}, journal={Chemical Engineering Science}, publisher={Elsevier BV}, author={Wende, Marc and Staggenborg, Christoph and Kenig, Eugeny Y.}, year={2022} }","ama":"Wende M, Staggenborg C, Kenig EY. Modelling and simulation of zero-gravity distillation units with metal foams. <i>Chemical Engineering Science</i>. 2022;247. doi:<a href=\"https://doi.org/10.1016/j.ces.2021.117097\">10.1016/j.ces.2021.117097</a>","ieee":"M. Wende, C. Staggenborg, and E. Y. Kenig, “Modelling and simulation of zero-gravity distillation units with metal foams,” <i>Chemical Engineering Science</i>, vol. 247, Art. no. 117097, 2022, doi: <a href=\"https://doi.org/10.1016/j.ces.2021.117097\">10.1016/j.ces.2021.117097</a>.","chicago":"Wende, Marc, Christoph Staggenborg, and Eugeny Y. Kenig. “Modelling and Simulation of Zero-Gravity Distillation Units with Metal Foams.” <i>Chemical Engineering Science</i> 247 (2022). <a href=\"https://doi.org/10.1016/j.ces.2021.117097\">https://doi.org/10.1016/j.ces.2021.117097</a>."},"publication_identifier":{"issn":["0009-2509"]},"publication_status":"published","article_number":"117097","_id":"44236","department":[{"_id":"145"}],"user_id":"665","status":"public","type":"journal_article"},{"_id":"30591","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"department":[{"_id":"9"},{"_id":"145"}],"user_id":"30050","keyword":["Applied Mathematics","Industrial and Manufacturing Engineering","General Chemical Engineering","General Chemistry"],"article_number":"117414","language":[{"iso":"eng"}],"publication":"Chemical Engineering Science","type":"journal_article","status":"public","publisher":"Elsevier BV","date_updated":"2023-05-01T07:53:08Z","volume":251,"author":[{"first_name":"René","last_name":"Bertling","full_name":"Bertling, René","id":"30050"},{"full_name":"Hack, M.","last_name":"Hack","first_name":"M."},{"first_name":"I.","last_name":"Ausner","full_name":"Ausner, I."},{"full_name":"Horschitz, B.","last_name":"Horschitz","first_name":"B."},{"first_name":"Sören Antonius","full_name":"Bernemann, Sören Antonius","id":"70108","last_name":"Bernemann"},{"last_name":"Kenig","full_name":"Kenig, Eugeny","id":"665","first_name":"Eugeny"}],"date_created":"2022-03-28T07:26:33Z","title":"Modelling film and rivulet flows on microstructured surfaces using CFD methods","doi":"10.1016/j.ces.2021.117414","quality_controlled":"1","publication_identifier":{"issn":["0009-2509"]},"publication_status":"published","year":"2022","intvolume":"       251","citation":{"ama":"Bertling R, Hack M, Ausner I, Horschitz B, Bernemann SA, Kenig E. Modelling film and rivulet flows on microstructured surfaces using CFD methods. <i>Chemical Engineering Science</i>. 2022;251. doi:<a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>","chicago":"Bertling, René, M. Hack, I. Ausner, B. Horschitz, Sören Antonius Bernemann, and Eugeny Kenig. “Modelling Film and Rivulet Flows on Microstructured Surfaces Using CFD Methods.” <i>Chemical Engineering Science</i> 251 (2022). <a href=\"https://doi.org/10.1016/j.ces.2021.117414\">https://doi.org/10.1016/j.ces.2021.117414</a>.","ieee":"R. Bertling, M. Hack, I. Ausner, B. Horschitz, S. A. Bernemann, and E. Kenig, “Modelling film and rivulet flows on microstructured surfaces using CFD methods,” <i>Chemical Engineering Science</i>, vol. 251, Art. no. 117414, 2022, doi: <a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>.","apa":"Bertling, R., Hack, M., Ausner, I., Horschitz, B., Bernemann, S. A., &#38; Kenig, E. (2022). Modelling film and rivulet flows on microstructured surfaces using CFD methods. <i>Chemical Engineering Science</i>, <i>251</i>, Article 117414. <a href=\"https://doi.org/10.1016/j.ces.2021.117414\">https://doi.org/10.1016/j.ces.2021.117414</a>","bibtex":"@article{Bertling_Hack_Ausner_Horschitz_Bernemann_Kenig_2022, title={Modelling film and rivulet flows on microstructured surfaces using CFD methods}, volume={251}, DOI={<a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>}, number={117414}, journal={Chemical Engineering Science}, publisher={Elsevier BV}, author={Bertling, René and Hack, M. and Ausner, I. and Horschitz, B. and Bernemann, Sören Antonius and Kenig, Eugeny}, year={2022} }","short":"R. Bertling, M. Hack, I. Ausner, B. Horschitz, S.A. Bernemann, E. Kenig, Chemical Engineering Science 251 (2022).","mla":"Bertling, René, et al. “Modelling Film and Rivulet Flows on Microstructured Surfaces Using CFD Methods.” <i>Chemical Engineering Science</i>, vol. 251, 117414, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>."}},{"publication_identifier":{"issn":["0009-2509"]},"quality_controlled":"1","publication_status":"published","year":"2022","intvolume":"       251","citation":{"ama":"Bertling R, Hack M, Ausner I, Horschitz B, Bernemann S, Kenig EY. Modelling film and rivulet flows on microstructured surfaces using CFD methods. <i>Chemical Engineering Science</i>. 2022;251. doi:<a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>","chicago":"Bertling, R., M. Hack, I. Ausner, B. Horschitz, S. Bernemann, and E.Y. Kenig. “Modelling Film and Rivulet Flows on Microstructured Surfaces Using CFD Methods.” <i>Chemical Engineering Science</i> 251 (2022). <a href=\"https://doi.org/10.1016/j.ces.2021.117414\">https://doi.org/10.1016/j.ces.2021.117414</a>.","ieee":"R. Bertling, M. Hack, I. Ausner, B. Horschitz, S. Bernemann, and E. Y. Kenig, “Modelling film and rivulet flows on microstructured surfaces using CFD methods,” <i>Chemical Engineering Science</i>, vol. 251, Art. no. 117414, 2022, doi: <a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>.","apa":"Bertling, R., Hack, M., Ausner, I., Horschitz, B., Bernemann, S., &#38; Kenig, E. Y. (2022). Modelling film and rivulet flows on microstructured surfaces using CFD methods. <i>Chemical Engineering Science</i>, <i>251</i>, Article 117414. <a href=\"https://doi.org/10.1016/j.ces.2021.117414\">https://doi.org/10.1016/j.ces.2021.117414</a>","mla":"Bertling, R., et al. “Modelling Film and Rivulet Flows on Microstructured Surfaces Using CFD Methods.” <i>Chemical Engineering Science</i>, vol. 251, 117414, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>.","bibtex":"@article{Bertling_Hack_Ausner_Horschitz_Bernemann_Kenig_2022, title={Modelling film and rivulet flows on microstructured surfaces using CFD methods}, volume={251}, DOI={<a href=\"https://doi.org/10.1016/j.ces.2021.117414\">10.1016/j.ces.2021.117414</a>}, number={117414}, journal={Chemical Engineering Science}, publisher={Elsevier BV}, author={Bertling, R. and Hack, M. and Ausner, I. and Horschitz, B. and Bernemann, S. and Kenig, E.Y.}, year={2022} }","short":"R. Bertling, M. Hack, I. Ausner, B. Horschitz, S. Bernemann, E.Y. Kenig, Chemical Engineering Science 251 (2022)."},"publisher":"Elsevier BV","date_updated":"2023-05-01T07:54:36Z","volume":251,"date_created":"2022-03-20T09:39:03Z","author":[{"last_name":"Bertling","full_name":"Bertling, R.","first_name":"R."},{"full_name":"Hack, M.","last_name":"Hack","first_name":"M."},{"last_name":"Ausner","full_name":"Ausner, I.","first_name":"I."},{"full_name":"Horschitz, B.","last_name":"Horschitz","first_name":"B."},{"last_name":"Bernemann","full_name":"Bernemann, S.","first_name":"S."},{"first_name":"E.Y.","last_name":"Kenig","full_name":"Kenig, E.Y."}],"title":"Modelling film and rivulet flows on microstructured surfaces using CFD methods","doi":"10.1016/j.ces.2021.117414","publication":"Chemical Engineering Science","type":"journal_article","status":"public","_id":"30382","user_id":"30050","keyword":["Applied Mathematics","Industrial and Manufacturing Engineering","General Chemical Engineering","General Chemistry"],"article_number":"117414","language":[{"iso":"eng"}]},{"citation":{"ama":"Schmidt S, Gräßer M, Schmid H-J. A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges. <i>SIAM Journal on Scientific Computing</i>. 2022;44(4):B1175-B1194. doi:<a href=\"https://doi.org/10.1137/20m1389054\">10.1137/20m1389054</a>","chicago":"Schmidt, Stephan, Melanie Gräßer, and Hans-Joachim Schmid. “A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges.” <i>SIAM Journal on Scientific Computing</i> 44, no. 4 (2022): B1175–94. <a href=\"https://doi.org/10.1137/20m1389054\">https://doi.org/10.1137/20m1389054</a>.","ieee":"S. Schmidt, M. Gräßer, and H.-J. Schmid, “A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges,” <i>SIAM Journal on Scientific Computing</i>, vol. 44, no. 4, pp. B1175–B1194, 2022, doi: <a href=\"https://doi.org/10.1137/20m1389054\">10.1137/20m1389054</a>.","short":"S. Schmidt, M. Gräßer, H.-J. Schmid, SIAM Journal on Scientific Computing 44 (2022) B1175–B1194.","bibtex":"@article{Schmidt_Gräßer_Schmid_2022, title={A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges}, volume={44}, DOI={<a href=\"https://doi.org/10.1137/20m1389054\">10.1137/20m1389054</a>}, number={4}, journal={SIAM Journal on Scientific Computing}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Schmidt, Stephan and Gräßer, Melanie and Schmid, Hans-Joachim}, year={2022}, pages={B1175–B1194} }","mla":"Schmidt, Stephan, et al. “A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges.” <i>SIAM Journal on Scientific Computing</i>, vol. 44, no. 4, Society for Industrial &#38; Applied Mathematics (SIAM), 2022, pp. B1175–94, doi:<a href=\"https://doi.org/10.1137/20m1389054\">10.1137/20m1389054</a>.","apa":"Schmidt, S., Gräßer, M., &#38; Schmid, H.-J. (2022). A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges. <i>SIAM Journal on Scientific Computing</i>, <i>44</i>(4), B1175–B1194. <a href=\"https://doi.org/10.1137/20m1389054\">https://doi.org/10.1137/20m1389054</a>"},"intvolume":"        44","page":"B1175-B1194","publication_status":"published","publication_identifier":{"issn":["1064-8275","1095-7197"]},"doi":"10.1137/20m1389054","date_updated":"2023-05-04T08:24:49Z","author":[{"full_name":"Schmidt, Stephan","last_name":"Schmidt","first_name":"Stephan"},{"first_name":"Melanie","last_name":"Gräßer","full_name":"Gräßer, Melanie"},{"full_name":"Schmid, Hans-Joachim","id":"464","orcid":"000-0001-8590-1921","last_name":"Schmid","first_name":"Hans-Joachim"}],"volume":44,"status":"public","type":"journal_article","_id":"44468","user_id":"3959","department":[{"_id":"150"}],"year":"2022","quality_controlled":"1","issue":"4","title":"A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges","publisher":"Society for Industrial & Applied Mathematics (SIAM)","date_created":"2023-05-04T08:18:41Z","publication":"SIAM Journal on Scientific Computing","keyword":["Applied Mathematics","Computational Mathematics"],"language":[{"iso":"eng"}]}]