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On adaptive wavelet boundary element methods

Harbrecht, Helmut and Utzinger, Manuela. (2015) On adaptive wavelet boundary element methods. Preprints Fachbereich Mathematik, 2015 (42).

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Abstract

The present article is concerned with the numerical solution of boundary integral equations by an adaptive wavelet boundary element method. This method approximates the solution with a computational complexity that is proportional to the solution’s best N-term approximation. The focus of this article is on algorithmic issues which includes the crucial building blocks and details about the efficient implementation. By numerical examples for the Laplace equation and the Helmholtz equation, solved for different geometries and right-hand sides, we validate the feasibility and efficiency of the adaptive wavelet boundary element method.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Harbrecht, Helmut and Utzinger, Manuela
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:08 May 2019 19:10
Deposited On:28 Mar 2019 09:51

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