A Posteriori Error Estimators for Elliptic Equations with Discontinuous Coefficients

摘要: We consider linear elliptic equations with discontinuous coefficients in two and three space dimensions varying boundary conditions. The problem is discretized finite elements. An adaptive procedure based on a posteriori error estimators for the treatment of singularities proposed. Within class quasi-monotonically distributed we derive bounds that are independent variation coefficients. In numerical test cases confirm robustness observe adaptively refined meshes reduction optimal respect to number unknowns.