Finite Element Methods for the Solution of RF Radiation And Scattering Problems

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Abstract
This paper presents the methods and results of using partial differential equation techniques for the solution of RF radiation and scattering problems. Specifically, frequency domain finite elements coupled with absorbing boundary conditions are extensively covered. Two-dimensional and three-dimensional formulations and computational results are presented. The two-dimensional formulation uses standard finite elements with either the Engquist-Majda or Bayliss-Turkel absorbing boundary conditions. The three-dimensional formulation also uses absorbing boundary conditions and finite elements, however, new, non-standard finite element basis functions specifically developed for vector field problems are used. These vector finite element basis functions are known as “edge-elements.” [1]