On the coupling of BEM and FEM for exterior problems for the Helmholtz equation

Li, Ruixia

doi:10.1090/S0025-5718-99-01064-9

On the coupling of BEM and FEM for exterior problems for the Helmholtz equation
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Math. Comp. 68 (1999), 945-953 Request permission

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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