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Stabilized Interior Penalty Methods for the Time-Harmonic Maxwell Equations.

Author: I Perugia; D Schoetzau; P Monk; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
Publisher: Ft. Belvoir Defense Technical Information Center 31 AUG 2001.
Edition/Format:   eBook : English
Summary:
We propose stabilized interior penalty discontinuous Galerkin methods for the indefinite time-harmonic Maxwell system. The methods are based on a mixed formulation of the boundary value problem chosen to provide control on the divergence of the electric field. We prove optimal error estimates for the methods in the special case of smooth coefficients and perfectly conducting boundary using a duality approach.
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Material Type: Internet resource
Document Type: Internet Resource
All Authors / Contributors: I Perugia; D Schoetzau; P Monk; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
OCLC Number: 64440726
Description: 31 pages

Abstract:

We propose stabilized interior penalty discontinuous Galerkin methods for the indefinite time-harmonic Maxwell system. The methods are based on a mixed formulation of the boundary value problem chosen to provide control on the divergence of the electric field. We prove optimal error estimates for the methods in the special case of smooth coefficients and perfectly conducting boundary using a duality approach.

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