A discontinuous Galerkin method with Lagrange multipliers to solve vector electromagnetic problems in two dimensions

Ming Feng Xue, Jian Ming Jin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A discontinuous Galerkin method is formulated with plane wave basis functions and Lagrange multipliers to solve the vector curl-curl equation. This method was developed only for the scalar Helmholtz equation in both two-dimensional (2D) and three-dimensional (3D) cases. By defining vector plane waves and vector Lagrange multipliers within unstructured quadrilateral elements and along the element boundaries, this algorithm can be extended to solve 2D vector problems. Numerical results for wave propagation and scattering by perfect electric conducting (PEC) cylinders are presented to validate the proposed method.

Original languageEnglish (US)
Title of host publication2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings
DOIs
StatePublished - Dec 10 2012
EventJoint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012 - Chicago, IL, United States
Duration: Jul 8 2012Jul 14 2012

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)1522-3965

Other

OtherJoint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012
CountryUnited States
CityChicago, IL
Period7/8/127/14/12

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Xue, M. F., & Jin, J. M. (2012). A discontinuous Galerkin method with Lagrange multipliers to solve vector electromagnetic problems in two dimensions. In 2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings [6349014] (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). https://doi.org/10.1109/APS.2012.6349014