The Discontinuous Galerkin Finite-Element Time-Domain Method Solution of Maxwell’s Equation
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The Discontinuous Galerkin Finite-Element Time-Domain Method Solution of Maxwell’s EquationAbstract
A Discontinuous Finite-Element Time- Domain method is presented that is based on a high-order finite element discretization of Maxwell’s curl equations. The problem domain is decomposed into non-overlapping subdomains that couple through boundary integral terms. Within each subdomain, the tangential electric and magnetic fields are discretized via high-order curl conforming basis functions, leading to a highorder representation of the volume fields. For unbounded problems, a perfectly matched layer absorbing medium is used. The discrete equations are presented in a symmetric form. The method leads to an explicit time-dependent solution of Maxwell’s equations that is high-order convergent.
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