CONVERGENCE-RATES FOR THE COUPLING OF FEM AND COLLOCATION BEM

We prove convergence of the coupling of finite and boundary elements w here Galerkin's method is used for finite elements and collocation for boundary elements. We consider linear elliptic boundary value problem s in two dimensions, in particular problems in elasticity. The mesh wi dth k of the boundary elements and the mesh width h of the finite elem ents are required to satisfy k less than or equal to beta h with suita ble beta. Asymptotic error estimates in the energy norm and in the L(2 )-norm are derived. Numerical examples are included.