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

Bidjan Haghi-Ashtiani (1) , Laurent Krähenbühl (1, 2) , Alain Nicolas (1, 2)

1 CEGELY - Centre de génie électrique de Lyon
2 AMPERE - Ampère

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 techniques for adaptive meshing.

Mots clés: error control; adaptive meshing; Boundary Integral Equation Method; iterative solver; electrostatics

Domaines: Modélisation et simulation; Analyse numérique [cs.NA]; Autre; Electromagnétisme

Bidjan Haghi-Ashtiani, Laurent Krähenbühl, Alain Nicolas. Adaptive meshing for the boundary integral equation method: Definition and test of an error estimator. IEEE Transactions on Magnetics, 1998, 34 (5 Part 1), pp.3443-3446. ⟨hal-00140674⟩