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

• Autores: Francisco Javier Sayas González
• Localización: SIAM Review, ISSN 0036-1445, Vol. 55, Nº. 1, 2013, págs. 131-146
• Idioma: inglés
• DOI: 10.1137/120892283
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• Resumen

  • 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 has generally 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