{"publication_identifier":{"issn":["1609-4840","1609-9389"]},"user_id":"100441","year":"2022","author":[{"last_name":"Bohn","full_name":"Bohn, Jan","first_name":"Jan"},{"first_name":"Michael","full_name":"Feischl, Michael","last_name":"Feischl"},{"orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","first_name":"Balázs","id":"100441"}],"publication_status":"published","doi":"10.1515/cmam-2022-0145","date_created":"2023-07-10T11:43:13Z","status":"public","_id":"45956","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis"],"type":"journal_article","publisher":"Walter de Gruyter GmbH","volume":23,"citation":{"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} }","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>.","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>","short":"J. Bohn, M. Feischl, B. Kovács, Computational Methods in Applied Mathematics 23 (2022) 19–48.","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>","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>.","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>."},"date_updated":"2024-04-03T09:20:30Z","issue":"1","language":[{"iso":"eng"}],"intvolume":"        23","page":"19-48","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","title":"FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation"}