Analysis of aWeak Galerkin Mixed Formulation for Maxwell’s Equations
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Authors: A. ZAGHDANI, A. HASNAOUI AND S. SAYARI
DOI: 10.46793/KgJMat2603.387Z
Abstract:
In this paper we introduce and analyse a mixed weak Galekin finite element method for the Maxwell equations in the primary electric field-Lagrange multiplier. Our weak Galerkin method is equipped with stable finite elements composed of habitual polynomials of degree k for the electric field and polynomials of degree k + 1 for the Lagrange multiplier. Optimal order error estimations for the proposed weak Galerkin mixed finite element formulation are demonstrated and are confirmed numerically on a two dimensional bounded domain.
Keywords:
Weak Galerkin, mixed finite element methods, the Maxwell equations, polyhedral meshes.
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