Computational Electromagnetics and Model-Based Inversion

Part of the series Scientific Computation pp 45-55

Discretization via the Galerkin Method of Moments

  • Harold A. SabbaghAffiliated withVictor Technologies, LLC
  • , R. Kim MurphyAffiliated withVictor Technologies, LLC
  • , Elias H. SabbaghAffiliated withVictor Technologies, LLC
  • , John C. AldrinAffiliated withComputational Tools
  • , Jeremy S. KnoppAffiliated withAir Force Research Laboratory (AFRL/RXLP)

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We will discretize (3.22) by employing Galerkin’s method, which uses the same vector functions for expansion and testing. The spatial derivatives that cause problems will be removed by the testing process. In order to test these derivatives, we introduce special vector expansion functions, called “facet elements” and “edge elements,” that comprise products of pulse and tent functions.