Permanent URL to this publication: http://dx.doi.org/10.5167/uzh22561
Sauter, S (1996). Cubature techniques for 3D Galerkin BEM. In: Hackbusch, W; Wittum, G. Boundary elements: implementation and analysis of advanced algorithms (Kiel, 1996). Braunschweig, 2944. ISBN 3528076542.

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Abstract
We present cubature methods for the approximation of surface integrals arising from Galerkin discretizations of 3D boundary integral equations. This numerical integrator is fully implicit in the sense that the form of the kernel function, the surface parametrization, the trial and test space, and the order of the singularity of the kernel functions are not used explicitly. Different kernels can be treated by just replacing the subroutine which evaluates the kernel function in certain surface points.
Furthermore, the implementation of the integrator is relatively easy since it can be checked on simple test kernels as, e.g., polynomials where the exact integrals are available. We discuss the convergence of the cubature methods together with a stability and consistency analysis in order to determine the minimal cubature orders a priori.
Other titles:  Proceedings of the 12th GAMMSeminar, Kiel, Germany, January 1921, 1996 

Item Type:  Book Section, refereed, original work 
Communities & Collections:  07 Faculty of Science > Institute of Mathematics 
DDC:  510 Mathematics 
Language:  English 
Date:  1996 
Deposited On:  29 Nov 2010 16:28 
Last Modified:  31 May 2013 01:48 
Publisher:  Vieweg 
Series Name:  Notes on Numerical Fluid Mechanics 
Number:  54 
ISSN:  01799614 
ISBN:  3528076542 
Related URLs:  http://www.zentralblattmath.org/zbmath/search/?q=an%3A0881.65107 http://opac.nebis.ch/F/?local_base=EBI01&con_lng=GER&func=findb&find_code=090&request=000602727 
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