A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems
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Publication:6177441
DOI10.1137/22m1505360zbMath1530.65158arXiv2205.14127OpenAlexW4389787699MaRDI QIDQ6177441
Publication date: 17 January 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.14127
Maxwell equationsde Rham complexpreconditionerRaviart-Thomas elementsinterface problemsPetrov-Galerkin formulationNédélec elementsimmersed finite element methods\(\mathbf{H}(\operatorname{curl}\Omega)\)-elliptic equations
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Technical applications of optics and electromagnetic theory (78A55) de Rham theory in global analysis (58A12) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61)
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