edoc

Adaptive Wavelet BEM for boundary integral equations. Theory and numerical experiments

Dahlke, Stephan and Harbrecht, Helmut and Utzinger, Manuela and Weimar, Markus. (2018) Adaptive Wavelet BEM for boundary integral equations. Theory and numerical experiments. Numerical Functional Analysis and Optimization, 39 (2). pp. 208-232.

[img] PDF - Accepted Version
900Kb

Official URL: http://edoc.unibas.ch/58937/

Downloads: Statistics Overview

Abstract

We are concerned with the numerical treatment of boundary integral equations by the adaptive wavelet boundary element method. In particular, we consider the second kind Fredholm integral equation for the double layer potential operator on patchwise smooth manifolds contained in ℝ 3 . The corresponding operator equations are treated by adaptive implementations that are in complete accordance with the underlying theory. The numerical experiments demonstrate that adaptive methods really pay off in this setting. The observed convergence rates fit together very well with the theoretical predictions based on the Besov regularity of the exact solution.
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:Taylor & Francis
ISSN:0163-0563
e-ISSN:1532-2467
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:02 Feb 2018 14:35
Deposited On:02 Feb 2018 14:35

Repository Staff Only: item control page