A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations

DOI10.1137/20M1382568zbMath1470.35348arXiv2012.03148OpenAlexW3184659028MaRDI QIDQ5005200

Xiaozhe Hu, J. H. Adler, Casey Cavanaugh, Ludmil T. Zikatanov

Publication date: 9 August 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03148

zbMATH Keywords

Maxwell's equationsfinite-element methodmimetic finite-difference methodstructure-preserving block preconditioners

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61)

Related Items (3)

A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations ⋮ Structure-preserving discretization of fractional vector calculus using discrete exterior calculus ⋮ Data-driven Whitney forms for structure-preserving control volume analysis

Uses Software

• HAZMATH

Cites Work

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