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Galerkin Boundary Element Methods for Electromagnetic Scattering

  • Annalisa Buffa
  • Ralf Hiptmair
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 31)

Summary

Methods based on boundary integral equations are widely used in die numerical simulation of electromagnetic scattering in the frequency domain. This article examines a particular class of these methods, namely the Galerkin boundary element approach, from a theoretical point of view. Emphasis is put on the fundamental differences between acoustic and electromagnetic scattering. The derivation of various boundary integral equations is presented, properties of their discretised counterparts are discussed, and a-priori convergence estimates for the boundary element solutions are rigorously established.

Key words

Electromagnetic scattering boundary integral equations boundary element methods 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Annalisa Buffa
    • 1
  • Ralf Hiptmair
    • 2
  1. 1.Istituto di Matematica applicate e tecnologie informatiche del CNRPaviaItaly
  2. 2.Seminar für Angewandte MathematikETH ZürichZürichSwitzerland

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