Abstract
In this paper an a posteriori error estimate for nonlinear coupled FEM-BEM equations is derived by using hierarchical basis techniques. Based on the properties of two-level additive Schwarz operators for (linearized) differential equations and weakly singular integral equations, easily computable local error indicators are obtained. An algorithm for adaptive error control which allows independent refinements of the finite elements and the boundary elements is formulated and numerical results for the linear and nonlinear case are included.
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