New discretization schemes for time-harmonic Maxwell equations by weak Galerkin finite element methods
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摘要
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.
论文关键词:primary,65N30,65N12,65N15,secondary,35Q60,35B45,Weak Galerkin,Finite element methods,Time-harmonic,Maxwell equations,Weak divergence,Weak curl,Polygonal/polyhedral meshes
论文评审过程:Received 18 April 2017, Revised 6 January 2018, Available online 17 April 2018, Version of Record 25 April 2018.
论文官网地址:https://doi.org/10.1016/j.cam.2018.04.015