On the adaptive coupling of FEM and BEM in 2-d elasticity
This paper concerns the combination of the finite element method (FEM) and the boundary element method (BEM) using the symmetric coupling. As a model problem in two dimensions, we consider the Hencky material in a bounded domain with Navier-Lamé differential equation in the unbounded complementary domain. Using some boundary integral operators, the problem is rewritten such that the Galerkin procedure leads to a FEM/BEM coupling and to quasi-optimally convergent discrete solutions. Beside this a priori information, we derive an a posteriori error estimate which allows (up to a constant factor) the error control in the energy norm.
quasi-optimally convergent discrete solutions
scientific article; zbMATH DE number 1049542