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On adaptive wavelet boundary element methods

Harbrecht, Helmut and Utzinger, Manuela. (2018) On adaptive wavelet boundary element methods. Journal of Computational Mathematics, 36 (1). pp. 90-109.

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Official URL: http://edoc.unibas.ch/56400/

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Abstract

The present article is concerned with the numerical solution of boundary integral equa- tions 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)
UniBasel Contributors:Harbrecht, Helmut and Utzinger, Manuela
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Institute of Computational Mathematics and Scientific/Engineering Computing
ISSN:0254-9409
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:30 Nov 2017 10:21
Deposited On:30 Nov 2017 10:21

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