Stabilized Interior Penalty Methods for the Time-Harmonic Maxwell Equations

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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Document Details

Document Type
Technical Report
Publication Date
Aug 31, 2001
Accession Number
ADA437465

Entities

People

  • D. Schoetzau
  • I. Perugia
  • Peter Monk

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Arithmetic
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Continuity
  • Decomposition
  • Electric Fields
  • Electromagnetic Fields
  • Equations
  • Error Analysis
  • Errors
  • Galerkin Method
  • Inequalities
  • Materials
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Plasma Physics / Magnetohydrodynamics