Plane wave discontinuous galerkin method with lagrange multipliers for solving time-Harmonic Maxwell's equations in three dimensions

Ming Feng Xue, Jianming Jin

Research output: Contribution to journalArticle

Abstract

A discontinuous Galerkin method is formulated with plane wave basis functions and Lagrange multipliers, and it is investigated for solving vector curl-curl equations derived from Maxwell's equations. This method was previously developed for solving the scalar Helmholtz equation in both two and three dimensions. By defining vector plane waves and vector Lagrange multipliers within tetrahedral elements and on element boundaries, this algorithm is extended to solve three-dimensional vector problems for electromagnetic analysis. Numerical results for wave propagation in free space and scattering by a perfectly electrically conducting sphere are presented to validate the proposed method and evaluate its potential capability.

Original languageEnglish (US)
Pages (from-to)328-344
Number of pages17
JournalElectromagnetics
Volume34
Issue number3-4
DOIs
StatePublished - Apr 3 2014

Keywords

  • Lagrange multiplier
  • discontinuous Galerkin method
  • finite-element tearing and interconnecting
  • tetrahedral element
  • vector plane wave basis function

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Radiation
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Plane wave discontinuous galerkin method with lagrange multipliers for solving time-Harmonic Maxwell's equations in three dimensions'. Together they form a unique fingerprint.

  • Cite this