New look at the absorbing boundary condition issue for FEM mesh truncation in open region problems

Raj Mittra*, Amir Boag, Alona Boag

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper we present a novel approach to deriving local boundary conditions, that can be employed in conjunction with the Finite Element Method (FEM) to solve electromagnetic scattering and radiation problems. The key step in this approach is to derive linear relationships that link the values of the field at the boundary grid points to those at the neighboring points. These linear relationships are satisfied, to within a certain tolerance, by all of the outgoing wave components. They can thus be used in lieu of the FEM equations employing the usual absorbing boundary conditions for the boundary points. The present approach not only provides a simple way to derive an accurate boundary condition for mesh truncation, but also preserves the banded structure of the FEM matrices. The accuracy of the proposed method is verified by comparing the numerical results with the method of moments solution.

Original languageEnglish
Pages (from-to)211-216
Number of pages6
JournalCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume13
Issue numberSuppl A
StatePublished - May 1994
Externally publishedYes
EventProceedings of the 2nd International Workshop on Finite Element Methods for Electromagnetic Wave Problems - Siena, Italy
Duration: 24 May 199426 May 1994

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