Adaptive meshing for the boundary integral equation method: definition and test of an error estimator

During last years, numerous authors have developed adaptive meshing methods based on efficient error estimators for the Finite Element Method. In this paper we propose a similar tool, meant expressly for the Boundary Integral Equation Method (BIEM). We will first present the expression of the proposed error estimator, then analyze its properties in the context of a specific BIE program and for a simple electrostatic structure. We present finally the implementation of this estimator in association with novel techniques for adaptive meshing