Multi-parameter Extrapolation Methods for Boundary Integral

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autor(en): Zhou A, Rüde U
Zeitschrift: Advances in Computational Mathematics
Verlag: Springer Verlag (Germany)
Jahr der Veröffentlichung: 1998
Band: 9
Heftnummer: 1,2
Seitenbereich: 173--190
ISSN: 1019-7168


Multi-parameter extrapolation was first introduced by Zhou et al. for solving partial differential equations with finite element methods in 1994. The method is based on a domain decomposition and independent discretization of the subdomains resulting in a multi-parameter error expansion. This permits a generalized extrapolation technique. The algorithm is naturally parallel since the main computational work is spent in solving independent linear systems. Here the method is extended to the case of boundary integral equations on polygonal domains, where singularities require graded meshes. A complete analysis is given, based on weighted norm techniques. Several numerical experiments demonstrate the mathematical features and practical usefulness of the method.

FAU-Autoren / FAU-Herausgeber

Rüde, Ulrich Prof. Dr.
Lehrstuhl für Informatik 10 (Systemsimulation)


Zhou, A., & Rüde, U. (1998). Multi-parameter Extrapolation Methods for Boundary Integral Equations. Advances in Computational Mathematics, 9(1,2), 173--190.

Zhou, A., and Ulrich Rüde. "Multi-parameter Extrapolation Methods for Boundary Integral Equations." Advances in Computational Mathematics 9.1,2 (1998): 173--190.


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