A NOTE ON THE STABLE ONE-EQUATION COUPLING OF FINITE AND BOUNDARY ELEMENTS

作者：Steinbach O^*

来源：SIAM Journal on Numerical Analysis, 2011, 49(4): 1521-1531.

DOI：10.1137/090762701

• finite elements
• boundary elements
• nonsymmetric coupling

In a recent paper [SIAM J. Numer. Anal., 47 (2009), pp. 3451-3463] Sayas proved the stability of the Johnson-Nedelec 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.

• 出版日期2011