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

作者：Wang Chunmei^*

来源：Journal of Computational and Applied Mathematics, 2018, 341: 127-143.

DOI：10.1016/j.cam.2018.04.015

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

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.

• 出版日期2018-10-15