[{"citation":{"ieee":"T. Binz and B. Kovács, “A convergent finite element algorithm for generalized mean curvature flows of closed surfaces,” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, pp. 2545–2588, 2021, doi: <a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>.","apa":"Binz, T., &#38; Kovács, B. (2021). A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. <i>IMA Journal of Numerical Analysis</i>, <i>42</i>(3), 2545–2588. <a href=\"https://doi.org/10.1093/imanum/drab043\">https://doi.org/10.1093/imanum/drab043</a>","chicago":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical Analysis</i> 42, no. 3 (2021): 2545–88. <a href=\"https://doi.org/10.1093/imanum/drab043\">https://doi.org/10.1093/imanum/drab043</a>.","short":"T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.","mla":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, Oxford University Press (OUP), 2021, pp. 2545–88, doi:<a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>.","bibtex":"@article{Binz_Kovács_2021, title={A convergent finite element algorithm for generalized mean curvature flows of closed surfaces}, volume={42}, DOI={<a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>}, number={3}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Binz, Tim and Kovács, Balázs}, year={2021}, pages={2545–2588} }","ama":"Binz T, Kovács B. A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. <i>IMA Journal of Numerical Analysis</i>. 2021;42(3):2545-2588. doi:<a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>"},"status":"public","publisher":"Oxford University Press (OUP)","_id":"45962","page":"2545-2588","volume":42,"user_id":"100441","publication":"IMA Journal of Numerical Analysis","issue":"3","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>An algorithm is proposed for generalized mean curvature flow of closed two-dimensional surfaces, which include inverse mean curvature flow and powers of mean and inverse mean curvature flow. Error estimates are proved for semidiscretizations and full discretizations for the generalized flow. The algorithm proposed and studied here combines evolving surface finite elements, whose nodes determine the discrete surface, and linearly implicit backward difference formulae for time integration. The numerical method is based on a system coupling the surface evolution to nonlinear second-order parabolic evolution equations for the normal velocity and normal vector. A convergence proof is presented in the case of finite elements of polynomial degree at least 2 and backward difference formulae of orders 2 to 5. The error analysis combines stability estimates and consistency estimates to yield optimal-order $H^1$-norm error bounds for the computed surface position, velocity, normal vector, normal velocity and therefore for the mean curvature. The stability analysis is performed in the matrix–vector formulation and is independent of geometric arguments, which only enter the consistency analysis. Numerical experiments are presented to illustrate the convergence results and also to report on monotone quantities, e.g. Hawking mass for inverse mean curvature flow, and complemented by experiments for nonconvex surfaces.</jats:p>","lang":"eng"}],"date_created":"2023-07-10T11:44:41Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","author":[{"full_name":"Binz, Tim","last_name":"Binz","first_name":"Tim"},{"id":"100441","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"title":"A convergent finite element algorithm for generalized mean curvature flows of closed surfaces","year":"2021","intvolume":"        42","date_updated":"2024-04-03T09:18:40Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1093/imanum/drab043"},{"citation":{"chicago":"Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i> 42, no. 3 (2021): 2589–2620. <a href=\"https://doi.org/10.1093/imanum/drab045\">https://doi.org/10.1093/imanum/drab045</a>.","short":"P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.","apa":"Harder, P., &#38; Kovács, B. (2021). Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>, <i>42</i>(3), 2589–2620. <a href=\"https://doi.org/10.1093/imanum/drab045\">https://doi.org/10.1093/imanum/drab045</a>","ieee":"P. Harder and B. Kovács, “Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, pp. 2589–2620, 2021, doi: <a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>.","ama":"Harder P, Kovács B. Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2021;42(3):2589-2620. doi:<a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>","bibtex":"@article{Harder_Kovács_2021, title={Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions}, volume={42}, DOI={<a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>}, number={3}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Harder, Paula and Kovács, Balázs}, year={2021}, pages={2589–2620} }","mla":"Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, Oxford University Press (OUP), 2021, pp. 2589–620, doi:<a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>."},"user_id":"100441","volume":42,"page":"2589-2620","_id":"45957","publisher":"Oxford University Press (OUP)","status":"public","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:43:28Z","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>A proof of convergence is given for a bulk–surface finite element semidiscretisation of the Cahn–Hilliard equation with Cahn–Hilliard-type dynamic boundary conditions in a smooth domain. The semidiscretisation is studied in an abstract weak formulation as a second-order system. Optimal-order uniform-in-time error estimates are shown in the $L^2$- and $H^1$-norms. The error estimates are based on a consistency and stability analysis. The proof of stability is performed in an abstract framework, based on energy estimates exploiting the anti-symmetric structure of the second-order system. Numerical experiments illustrate the theoretical results.</jats:p>","lang":"eng"}],"issue":"3","publication":"IMA Journal of Numerical Analysis","doi":"10.1093/imanum/drab045","language":[{"iso":"eng"}],"date_updated":"2024-04-03T09:20:15Z","publication_status":"published","intvolume":"        42","year":"2021","title":"Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions","author":[{"first_name":"Paula","last_name":"Harder","full_name":"Harder, Paula"},{"full_name":"Kovács, Balázs","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","id":"100441"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]}},{"publication":"Numerische Mathematik","issue":"4","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","date_created":"2023-07-10T11:44:25Z","intvolume":"       147","publication_status":"published","date_updated":"2024-04-03T09:18:52Z","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"last_name":"Nick","first_name":"Jörg","full_name":"Nick, Jörg"},{"id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474"},{"full_name":"Lubich, Christian","first_name":"Christian","last_name":"Lubich"}],"title":"Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations","year":"2021","doi":"10.1007/s00211-021-01196-6","language":[{"iso":"eng"}],"citation":{"mla":"Nick, Jörg, et al. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i>, vol. 147, no. 4, Springer Science and Business Media LLC, 2021, pp. 997–1000, doi:<a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>.","ama":"Nick J, Kovács B, Lubich C. Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>. 2021;147(4):997-1000. doi:<a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>","bibtex":"@article{Nick_Kovács_Lubich_2021, title={Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations}, volume={147}, DOI={<a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2021}, pages={997–1000} }","apa":"Nick, J., Kovács, B., &#38; Lubich, C. (2021). Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>, <i>147</i>(4), 997–1000. <a href=\"https://doi.org/10.1007/s00211-021-01196-6\">https://doi.org/10.1007/s00211-021-01196-6</a>","ieee":"J. Nick, B. Kovács, and C. Lubich, “Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations,” <i>Numerische Mathematik</i>, vol. 147, no. 4, pp. 997–1000, 2021, doi: <a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>.","chicago":"Nick, Jörg, Balázs Kovács, and Christian Lubich. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i> 147, no. 4 (2021): 997–1000. <a href=\"https://doi.org/10.1007/s00211-021-01196-6\">https://doi.org/10.1007/s00211-021-01196-6</a>.","short":"J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000."},"status":"public","volume":147,"user_id":"100441","_id":"45961","publisher":"Springer Science and Business Media LLC","page":"997-1000"},{"_id":"45959","publisher":"Springer Science and Business Media LLC","page":"595-643","volume":149,"user_id":"100441","status":"public","citation":{"short":"B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.","chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Willmore Flow of Closed Surfaces.” <i>Numerische Mathematik</i> 149, no. 3 (2021): 595–643. <a href=\"https://doi.org/10.1007/s00211-021-01238-z\">https://doi.org/10.1007/s00211-021-01238-z</a>.","apa":"Kovács, B., Li, B., &#38; Lubich, C. (2021). A convergent evolving finite element algorithm for Willmore flow of closed surfaces. <i>Numerische Mathematik</i>, <i>149</i>(3), 595–643. <a href=\"https://doi.org/10.1007/s00211-021-01238-z\">https://doi.org/10.1007/s00211-021-01238-z</a>","ieee":"B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm for Willmore flow of closed surfaces,” <i>Numerische Mathematik</i>, vol. 149, no. 3, pp. 595–643, 2021, doi: <a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>.","ama":"Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for Willmore flow of closed surfaces. <i>Numerische Mathematik</i>. 2021;149(3):595-643. doi:<a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>","bibtex":"@article{Kovács_Li_Lubich_2021, title={A convergent evolving finite element algorithm for Willmore flow of closed surfaces}, volume={149}, DOI={<a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>}, number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2021}, pages={595–643} }","mla":"Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for Willmore Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 149, no. 3, Springer Science and Business Media LLC, 2021, pp. 595–643, doi:<a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>."},"language":[{"iso":"eng"}],"doi":"10.1007/s00211-021-01238-z","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"first_name":"Balázs","last_name":"Kovács","full_name":"Kovács, Balázs"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"year":"2021","title":"A convergent evolving finite element algorithm for Willmore flow of closed surfaces","intvolume":"       149","publication_status":"published","date_updated":"2024-04-03T09:19:20Z","date_created":"2023-07-10T11:43:59Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","publication":"Numerische Mathematik","issue":"3"},{"date_updated":"2024-04-03T09:14:14Z","publication_status":"published","intvolume":"        41","title":"Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates","year":"2020","author":[{"full_name":"Hipp, David","last_name":"Hipp","first_name":"David"},{"first_name":"Balázs","last_name":"Kovács","full_name":"Kovács, Balázs"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"doi":"10.1093/imanum/drz073","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>"}],"issue":"1","publication":"IMA Journal of Numerical Analysis","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:42:43Z","status":"public","user_id":"100441","volume":41,"page":"638-728","_id":"45954","publisher":"Oxford University Press (OUP)","citation":{"bibtex":"@article{Hipp_Kovács_2020, title={Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41}, DOI={<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728} }","ama":"Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>. 2020;41(1):638-728. doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>","mla":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728, doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","chicago":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>.","short":"D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.","ieee":"D. Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","apa":"Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>, <i>41</i>(1), 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>"}},{"_id":"45953","publisher":"Oxford University Press (OUP)","page":"638-728","volume":41,"user_id":"100441","status":"public","citation":{"mla":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728, doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","bibtex":"@article{Hipp_Kovács_2020, title={Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41}, DOI={<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728} }","ama":"Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>. 2020;41(1):638-728. doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>","ieee":"D. Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","apa":"Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>, <i>41</i>(1), 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>","chicago":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>.","short":"D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728."},"language":[{"iso":"eng"}],"doi":"10.1093/imanum/drz073","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"last_name":"Hipp","first_name":"David","full_name":"Hipp, David"},{"id":"100441","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs"}],"year":"2020","title":"Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates","intvolume":"        41","publication_status":"published","date_updated":"2024-04-03T09:20:44Z","date_created":"2023-07-10T11:42:31Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"issue":"1","publication":"IMA Journal of Numerical Analysis","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>","lang":"eng"}]},{"language":[{"iso":"eng"}],"doi":"10.1090/mcom/3597","publication_identifier":{"issn":["0025-5718","1088-6842"]},"author":[{"full_name":"Akrivis, Georgios","last_name":"Akrivis","first_name":"Georgios"},{"full_name":"Feischl, Michael","first_name":"Michael","last_name":"Feischl"},{"id":"100441","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"year":"2020","title":"Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation","intvolume":"        90","date_updated":"2024-04-03T09:20:36Z","publication_status":"published","date_created":"2023-07-10T11:42:57Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","issue":"329","publication":"Mathematics of Computation","_id":"45955","publisher":"American Mathematical Society (AMS)","page":"995-1038","volume":90,"user_id":"100441","status":"public","citation":{"mla":"Akrivis, Georgios, et al. “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert Equation.” <i>Mathematics of Computation</i>, vol. 90, no. 329, American Mathematical Society (AMS), 2020, pp. 995–1038, doi:<a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>.","bibtex":"@article{Akrivis_Feischl_Kovács_Lubich_2020, title={Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation}, volume={90}, DOI={<a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>}, number={329}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and Lubich, Christian}, year={2020}, pages={995–1038} }","ama":"Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. <i>Mathematics of Computation</i>. 2020;90(329):995-1038. doi:<a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>","ieee":"G. Akrivis, M. Feischl, B. Kovács, and C. Lubich, “Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation,” <i>Mathematics of Computation</i>, vol. 90, no. 329, pp. 995–1038, 2020, doi: <a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>.","apa":"Akrivis, G., Feischl, M., Kovács, B., &#38; Lubich, C. (2020). Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. <i>Mathematics of Computation</i>, <i>90</i>(329), 995–1038. <a href=\"https://doi.org/10.1090/mcom/3597\">https://doi.org/10.1090/mcom/3597</a>","short":"G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation 90 (2020) 995–1038.","chicago":"Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich. “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert Equation.” <i>Mathematics of Computation</i> 90, no. 329 (2020): 995–1038. <a href=\"https://doi.org/10.1090/mcom/3597\">https://doi.org/10.1090/mcom/3597</a>."}},{"citation":{"bibtex":"@article{Kovács_Li_Lubich_2020, title={A convergent algorithm for forced mean curvature flow driven by diffusion on the surface}, volume={22}, DOI={<a href=\"https://doi.org/10.4171/ifb/446\">10.4171/ifb/446</a>}, number={4}, journal={Interfaces and Free Boundaries}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2020}, pages={443–464} }","ama":"Kovács B, Li B, Lubich C. 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In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). 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In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>"}],"publication":"IMA Journal of Numerical Analysis","issue":"2","volume":40,"user_id":"100441","_id":"45949","publisher":"Oxford University Press (OUP)","page":"1241-1265","status":"public","citation":{"ama":"Karátson J, Kovács B, Korotov S. 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Kovács, C. Lubich, Numerische Mathematik 138 (2017) 365–388.","ieee":"B. Kovács and C. Lubich, “Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type,” <i>Numerische Mathematik</i>, vol. 138, no. 2, pp. 365–388, 2017, doi: <a href=\"https://doi.org/10.1007/s00211-017-0909-3\">10.1007/s00211-017-0909-3</a>.","apa":"Kovács, B., &#38; Lubich, C. (2017). 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