Extraction, Higher Order Boundary Element Methods and Adaptivity

Abstract

The computation of potentials, displacements, stresses and their derivatives via potential representations on and near to the boundary is one of the difficult tasks in boundary element methods. Here we present a procedure which allows us to compute these quatities by repeatedly solving the underlying boundary integral equation with modified right-hand sides. Additional recovery improves the original order of convergence on one hand and provides us with pointwise a-posteriori error estimates for driving adaptive mesh refinement, on the other hand.