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Advances in Computational Mathematics

, Volume 22, Issue 1, pp 21–48 | Cite as

Finite element analysis of transient electromagnetic scattering problems

  • Tri Van
  • Aihua Wood
Article
  • 85 Downloads

Abstract

In this paper, Newmark time-stepping scheme and edge elements are used to numerically solve the time-dependent scattering problem in a three-dimensional cavity. Finite element methods based on the variational formulation derived in [23] are considered. Due to the lack of regularity ofε r , the existence and uniqueness of the discrete solutions and their convergence are proved by using the concept of collectively compact operators. An optimal convergence rate in the energy norm is also established.

Keywords

Maxwell’s equations finite element methods Newmark scheme error estimates stability cavity 

AMS subject classification

35L05 65M60 78M10 74J20 

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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • Tri Van
    • 1
  • Aihua Wood
    • 2
  1. 1.Mission Research CorporationDaytonUSA
  2. 2.Air Force Institute of TechnologyAFIT/ENC, WPAFBUSA

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