A Hybrid Method for Accurate and Efficient Mesh Termination for FEM (Electrostatic Case)

Tanmoy Roy, Tapan K. Sarkar, Magdalena Salazar Palma, Antonije R. Djordjevic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The finite element or finite difference techniques are well known for the solution of Maxwell's equation in differential form. But terminating the mesh accurately at a finite distance from the body in case of an open problem is a major challenge. Though there are several techniques presented before, this new method is different from the methods given in [1]-[2]. This new approach allows for the terminating surface to encapsulate the body very tightly. In this proposed method, finite element technique is used for open region problems whereas integral equation solution approach using Green's function is applied to enforce the radiation condition. At each iteration cycle, field sources within the domain are evaluated and their potential at the terminating surface is calculated. The proposed method leads to increased computational efficiency, of finite element method. It can be generalized for the case of inhomogeneous and nonlinear media, for static and dynamic fields. Typical numerical results are presented for the solution of Laplace's equation to illustrate the accuracy of the technique.

Original languageEnglish (US)
Title of host publication1994 24th European Microwave Conference, EUMA 1994
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages579-584
Number of pages6
ISBN (Electronic)9780000000002
DOIs
StatePublished - Jan 1 1994
Event24th European Microwave Conference, EUMA 1994 - Cannes, France
Duration: Sep 5 1994Sep 9 1994

Publication series

Name1994 24th European Microwave Conference, EUMA 1994
Volume1

Conference

Conference24th European Microwave Conference, EUMA 1994
CountryFrance
CityCannes
Period9/5/949/9/94

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ASJC Scopus subject areas

  • Computer Networks and Communications
  • Instrumentation
  • Electrical and Electronic Engineering

Cite this

Roy, T., Sarkar, T. K., Palma, M. S., & Djordjevic, A. R. (1994). A Hybrid Method for Accurate and Efficient Mesh Termination for FEM (Electrostatic Case). In 1994 24th European Microwave Conference, EUMA 1994 (pp. 579-584). [4138317] (1994 24th European Microwave Conference, EUMA 1994; Vol. 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/EUMA.1994.337272