New Mixed Elements for Maxwell Equations

DOI10.1137/18M1168054zbMath1447.78015OpenAlexW2912508749MaRDI QIDQ4620409

Shangyou Zhang, Zhijie Du, Wei Liu, Huo-Yuan Duan

Publication date: 8 February 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1168054

zbMATH Keywords

stabilityerror estimatesMaxwell equationmixed methodLagrange element

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Variational methods applied to problems in optics and electromagnetic theory (78M30) Maxwell equations (35Q61)

Related Items (5)

Analysis of a direct discretization of the Maxwell eigenproblem ⋮ Variational methods for solving numerically magnetostatic systems ⋮ A coercive mixed formulation for the generalized Maxwell problem ⋮ Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem ⋮ Developing and analyzing new unconditionally stable finite element schemes for Maxwell's equations in complex media

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