Multigrid in a weighted space arising from axisymmetric electromagnetics

DOI10.1090/S0025-5718-2010-02384-1zbMath1198.78010MaRDI QIDQ3160729

Minah Oh, Jayadeep Gopalakrishnan, Dylan Matthew Copeland

Publication date: 8 October 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spacesfinite elementdualityMaxwell equationssuperconvergencemultigridmixed methodaxisymmetricV-cycle

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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MIXED FINITE ELEMENT APPROXIMATION OF THE VECTOR LAPLACIAN WITH DIRICHLET BOUNDARY CONDITIONS, Low-order Raviart-Thomas approximations of axisymmetric Darcy flow, Numerical study of signal propagation in corrugated coaxial cables, Multigrid in \(\boldsymbol H(\text{div})\) on axisymmetric domains, A negative-norm least-squares method for time-harmonic Maxwell equations, IsoGeometric approximations for electromagnetic problems in axisymmetric domains, de Rham complexes arising from Fourier finite element methods in axisymmetric domains, Commuting smoothed projectors in weighted norms with an application to axisymmetric Maxwell equations, Stabilized mixed approximation of axisymmetric Brinkman flows

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