A posteriori error analysis for a boundary element method with nonconforming domain decomposition |
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Authors: | Catalina Domínguez Norbert Heuer |
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Institution: | 1. Departamento de Matemáticas y Estadística, Universidad del Norte, , Barranquilla, Colombia;2. Facultad de Matemáticas, Pontificia Universidad Católica de Chile, , 4860 Macul, Santiago, Chile |
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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. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 947–963, 2014 |
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Keywords: | a posteriori error estimate hypersingular operator nonconforming BEM domain decomposition |
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