Finite element analysis of a scattering problem-Reference-Cited by-同舟云学术

Finite element analysis of a scattering problem

Published:1981 Issue:156 Volume:37 Page:261-272
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Aziz A. K.,Kellogg R. Bruce

Abstract

A finite element method for the solution of a scattering problem for the reduced wave equation is formulated and analyzed. The method involves a reformulation of the problem on a bounded domain with a nonlocal boundary condition. The space of trial functions includes piecewise polynomial functions and functions arising from spherical harmonics.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1981-37-156/S0025-5718-1981-0628694-2/S0025-5718-1981-0628694-2.pdf

Reference19 articles.

1. M. Abramowitz & I. A. Stegun, Handbook of Mathematical Functions, U. S. Government Printing Office, Washington, D. C., 1965.

2. Elliptic singular integro-differential operators;Agranovič, M. S.;Uspehi Mat. Nauk,1965

3. P. W. Barber, "Resonance electromagnetic absorption by non spherical dielectric objects," IEEE Trans. Microwave Theory. Tech, 1977, pp. 373-381.

4. Grundlehren der Mathematischen Wissenschaften, No. 223;Bergh, Jöran,1976

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