Chapter

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 withLawrence Berkeley National Laboratory Applied Numerical Algorithms GroupVictor Technologies, LLC
  • , R. Kim MurphyAffiliated withLawrence Berkeley National Laboratory Applied Numerical Algorithms GroupVictor Technologies, LLC
  • , Elias H. SabbaghAffiliated withLawrence Berkeley National Laboratory Applied Numerical Algorithms GroupVictor Technologies, LLC
  • , John C. AldrinAffiliated withLawrence Berkeley National Laboratory Applied Numerical Algorithms GroupComputational Tools
  • , Jeremy S. KnoppAffiliated withLawrence Berkeley National Laboratory Applied Numerical Algorithms GroupAir Force Research Laboratory (AFRL/RXLP)

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Abstract

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.