On the coupling of BEM and FEM

for exterior problems

for the Helmholtz equation

Author:
Ruixia Li

Journal:
Math. Comp. **68** (1999), 945-953

MSC (1991):
Primary 65N38, 65N30, 15A06

DOI:
https://doi.org/10.1090/S0025-5718-99-01064-9

Published electronically:
February 15, 1999

MathSciNet review:
1627809

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper deals with the coupled procedure of the boundary element method (BEM) and the finite element method (FEM) for the exterior boundary value problems for the Helmholtz equation. A circle is selected as the common boundary on which the integral equation is set up with Fourier expansion. As a result, the exterior problems are transformed into nonlocal boundary value problems in a bounded domain which is treated with FEM, and the normal derivative of the unknown function at the common boundary does not appear. The solvability of the variational equation and the error estimate are also discussed.

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Additional Information

**Ruixia Li**

Affiliation:
Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P.R.China

DOI:
https://doi.org/10.1090/S0025-5718-99-01064-9

Keywords:
BEM,
FEM,
Helmholtz equation,
integral equation,
Fourier expansion,
variational equation

Received by editor(s):
November 21, 1996

Received by editor(s) in revised form:
April 10, 1997, and January 22, 1998

Published electronically:
February 15, 1999

Article copyright:
© Copyright 1999
American Mathematical Society