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Weak Galerkin method for Maxwell's equations

Published on:

5 August 2023

Primary Category:

Numerical Analysis

Paper Authors:

Chunmei Wang,

Xiu Ye,

Shangyou Zhang

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Key Details

Proposes modified weak Galerkin method for time-harmonic Maxwell equations

Replaces inter-element functions with averages for weak derivatives

Proves optimal-order convergence theoretically

Numerical results verify theory and show effectiveness

AI generated summary

Weak Galerkin method for Maxwell's equations

This paper introduces a numerical method called the modified weak Galerkin technique for solving time-harmonic Maxwell's equations. It replaces inter-element functions with averages, allowing weak derivatives to be defined directly on discontinuous polynomials. Theoretical analysis proves optimal-order convergence. Numerical results confirm the theory and show the method's effectiveness.

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