ADAPTIVE COUPLING OF BOUNDARY ELEMENTS AND FINITE-ELEMENTS

In this note we present an h-adaptive procedure for the symmetric coup ling of boundary element and finite elements methods for two-dimension al linear and nonlinear interface problems. An a posteriori error esti mate is derived which guarantees a given bound of the error in the ene rgy norm (up to a multiplicative constant). Following the approach of Eriksson & Johnson this leads to a residual based adaptive procedure w ithin the Galerkin discretization. Numerical examples confirm that our procedure gives good meshes leading to efficient numerical procedures .