New discretization schemes for time-harmonic Maxwell equations by weak Galerkin finite element methods

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Abstract

This paper introduces new discretization schemes for time-harmonic Maxwell equations in a connected domain by using the weak Galerkin (WG) finite element method. The corresponding WG algorithms are analyzed for their stability and convergence. Error estimates of optimal order in various discrete Sobolev norms are established for the resulting finite element approximations.

Original languageEnglish
Pages (from-to)127-143
Number of pages17
JournalJournal of Computational and Applied Mathematics
Volume341
DOIs
StatePublished - Oct 15 2018

Keywords

  • Finite element methods
  • Maxwell equations
  • Polygonal/polyhedral meshes
  • Time-harmonic
  • Weak Galerkin
  • Weak curl
  • Weak divergence

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