The Validity of Johnson-Nédélec's BEM-FEM Coupling on Polygonal Interfaces

Authors:
Francisco-Javier Sayas
Affiliations:
jsayas@unizar.es
Venue:
SIAM Journal on Numerical Analysis
Year:
2009

Citing 0
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Abstract

In this short article we prove that the classical one-equation (or Johnson-Nédélec) coupling of finite and boundary elements can be applied with a Lipschitz coupling interface. Because of the way it was originally approached from the analytical standpoint, this BEM-FEM scheme required smooth boundaries and hence produced a consistency error in the finite element part. With a variational argument, we prove that this requirement is not needed and that stability holds for all pairs of discrete space, as it inherits the underlying ellipticity of the problem.