Convergence rates for the coupling of FEM and collocation BEM |
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Authors: | BRINK, ULRICH STEPHAN, ERNST P. |
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Affiliation: | Institut fr Baumechanik und Numerische Mechanik, Universitt Hannover D-30167 Hannover, Germany Institut fr Angewandte Mathematik, Universitt Hannover D-30167 Hannover, Germany |
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Abstract: | We prove convergence of the coupling of finite and boundaryelements where Galerkin's methd is used for finite elementsand collocation for boundary elements. We consider linear ellipticboundary value problems in two dimensions, in particular problemsin elasticity. The mesh width k of the boundary elements andthe mesh width h of the finite elements are required to satisfykßh with suitable ß. Asymptotic error estimatesin the energy norm and in the L2-norm are derived. Numericalexamples are included. |
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