학술논문
Adaptive Wavelet BEM for Boundary Integral Equations: Theory and Numerical Experiments.
Document Type
Article
Author
Source
Subject
*BOUNDARY element methods
*WAVELETS (Mathematics)
*FREDHOLM equations
*OPERATOR equations
*MANIFOLDS (Mathematics)
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Language
ISSN
0163-0563
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 ℝ3. 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. [ABSTRACT FROM AUTHOR]