Abstract

In a recent paper [SIAM J. Numer. Anal., 47 (2009), pp. 3451–3463] Sayas proved the stability of the Johnson–Nédélec coupling of finite and boundary element methods on polygonal interfaces when the direct boundary integral equation with single and double layer integral operators is used only. In this note we present two alternative proofs of this result for general Lipschitz interfaces. In particular, we prove an ellipticity estimate of the coupled bilinear form. Hence, we can use standard arguments to derive stability and error estimates for the Galerkin discretization for all pairs of finite and boundary element trial spaces.

MSC codes

  1. 65N30

Keywords

  1. finite elements
  2. boundary elements
  3. nonsymmetric coupling

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References

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Published In

cover image SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
Pages: 1521 - 1531
ISSN (online): 1095-7170

History

Submitted: 22 June 2009
Accepted: 12 May 2011
Published online: 28 July 2011

MSC codes

  1. 65N30

Keywords

  1. finite elements
  2. boundary elements
  3. nonsymmetric coupling

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