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

Chunmei Wang

doi:10.1016/j.cam.2018.04.015

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

Chunmei Wang

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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 language	English
Pages (from-to)	127-143
Number of pages	17
Journal	Journal of Computational and Applied Mathematics
Volume	341
DOIs	https://doi.org/10.1016/j.cam.2018.04.015
State	Published - Oct 15 2018

Keywords

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

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10.1016/j.cam.2018.04.015

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title = "New discretization schemes for time-harmonic Maxwell equations by weak Galerkin finite element methods",

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.",

keywords = "Finite element methods, Maxwell equations, Polygonal/polyhedral meshes, Time-harmonic, Weak Galerkin, Weak curl, Weak divergence",

author = "Chunmei Wang",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

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doi = "10.1016/j.cam.2018.04.015",

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N2 - 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.

AB - 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.

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KW - Maxwell equations

KW - Polygonal/polyhedral meshes

KW - Time-harmonic

KW - Weak Galerkin

KW - Weak curl

KW - Weak divergence

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DO - 10.1016/j.cam.2018.04.015

M3 - Article

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VL - 341

SP - 127

EP - 143

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

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

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Keywords

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