A novel method of applying finite element method to open region problems: Electrostatic case

Griffin K. Gothard, Sadasiva M. Rao, Tapan Kumar Sarkar

Research output: Contribution to conferencePaper

4 Scopus citations

Abstract

Finite Element/Finite Difference Techniques for solution of differential form of Maxwell's equation are well known. However, when applied to open region problems, the termination of the mesh at the finite distance from the object generally poses problems. In this work, while utilizing the finite element technique to open region problems, the mesh is terminated close to the object using a truncation condition based on MEI (Measured Equation Invariance) concept. The MEI concept is based on the integral equation solution approach using Green's functions which automatically enforce the radiation condition. Utilizing this novel approach leads to an increased computational efficiency of the finite element method. The major advantages of the present scheme are significant reduction in the number of unknowns yet retaining the sparsity of the generating matrix. Typical numerical results are presented for the solution of Laplace's Equation to illustrate the accuracy of the technique.

Original languageEnglish (US)
Pages696-697
Number of pages2
DOIs
StatePublished - Jan 1 1993
Event1993 23rd European Microwave Conference, EuMA 1993 - Madrid, Spain
Duration: Sep 6 1993Sep 10 1993

Conference

Conference1993 23rd European Microwave Conference, EuMA 1993
CountrySpain
CityMadrid
Period9/6/939/10/93

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ASJC Scopus subject areas

  • Instrumentation
  • Electronic, Optical and Magnetic Materials

Cite this

Gothard, G. K., Rao, S. M., & Sarkar, T. K. (1993). A novel method of applying finite element method to open region problems: Electrostatic case. 696-697. Paper presented at 1993 23rd European Microwave Conference, EuMA 1993, Madrid, Spain. https://doi.org/10.1109/EUMA.1993.336675