Unstructured Grid-Based Discontinuous Galerkin Method for Broadband Electromagnetic Simulations

Authors:
Adour V. Kabakian;Vijaya Shankar;William F. Hall
Affiliations:
HyPerComp, Inc., 31255 Cedar Valley Dr., Suite 327, Westlake Village, California 91362;HyPerComp, Inc., 31255 Cedar Valley Dr., Suite 327, Westlake Village, California 91362;HyPerComp, Inc., 31255 Cedar Valley Dr., Suite 327, Westlake Village, California 91362
Venue:
Journal of Scientific Computing
Year:
2004

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Abstract

A parallel, unstructured, high-order discontinuous Galerkin method is developed for the time-dependent Maxwell's equations, using simple monomial polynomials for spatial discretization and a fourth-order Runge–Kutta scheme for time marching. Scattering results for a number of validation cases are computed employing polynomials of up to third order. Accurate solutions are obtained on coarse meshes and grid convergence is achieved, demonstrating the capabilities of the scheme for time-domain electromagnetic wave scattering simulations.