A Posteriori Error Analysis for a Boundary Element Method with Nonconforming Domain Decomposition

Domínguez C.; Heuer, N

Abstract

We present and analyze an a posteriori error estimator based on mesh refinement for the solution of the hypersingular boundary integral equation governing the Laplacian in three dimensions. The discretization under consideration is a nonconforming domain decomposition method based on the Nitsche technique. Assuming a saturation property, we establish quasireliability and efficiency of the error estimator in comparison with the error in a natural (nonconforming) norm. Numerical experiments with uniform and adaptively refined meshes confirm our theoretical results. (c) 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 947-963, 2014

Más información

Título según WOS: A Posteriori Error Analysis for a Boundary Element Method with Nonconforming Domain Decomposition
Título según SCOPUS: A posteriori error analysis for a boundary element method with nonconforming domain decomposition
Título de la Revista: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volumen: 30
Número: 3
Editorial: WILEY-BLACKWELL
Fecha de publicación: 2014
Página de inicio: 947
Página final: 963
Idioma: English
DOI:

10.1002/num.21847

Notas: ISI, SCOPUS