A-Posteriori Estimates and Adaptive Schemes for Transmission Problems
Reinhard Hochmuth · Journal of Integral Equations and Applications · 1998
The presented results are directed to Galerkin schemes with respect to stable multiscale bases discretizations for boundary integral equations which describe transmission problems. We derive a-posteriori estimates which are reliable and efficient with respect to any desirable tolerance. Moreover the convergence of an adaptive scheme is investigated. The underlying ideas are applicable to a wide class of elliptic problems, cf. [DDHS]. Here, further details concerning decay estimates and appropriate index-sets for a system of boundary integral equations are presented. (orig.)