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Sauter, S; Schwab, C (1996). Realization of hp-Galerkin BEM in R³. In: Hackbusch, W; Wittum, G. Boundary elements: implementation and analysis of advanced algorithms (Kiel, 1996). Braunschweig: Vieweg, 194-206.

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Abstract

t is well known that Galerkin discretizations based on hp-finite element spaces are converging exponentially with respect to the degrees of freedom for elliptic problems with piecewise analytic data. However, the question whether these methods can be realized for general situations such that the exponential convergence is preserved also with respect to the computing time is very essential.
We show how the numerical quadrature can be realized in order that the resulting fully discrete hp-boundary element method (BEM) converges exponentially with algebraically growing work. The key point is to approximate the integrals constituting the stiffness matrix by exponentially converging cubature methods.

Citations

Additional indexing

Other titles:Proceedings of the 12th GAMM-Seminar held at the Christian-Albrechts-University, Kiel, January 19–21, 1996
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1996
Deposited On:29 Nov 2010 16:28
Last Modified:05 Apr 2016 13:27
Publisher:Vieweg
Series Name:Notes on Numerical Fluid Mechanics
Number:54
ISSN:0179-9614
ISBN:3-528-07654-2
Related URLs:http://opac.nebis.ch/F/?local_base=EBI01&con_lng=GER&func=find-b&find_code=090&request=000602727
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0881.65115

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