UZH-Logo

Realization of hp-Galerkin BEM in R³


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.

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.

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.

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

Download

Full text not available from this repository.

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations