Year: 2011
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 543–573
Abstract
We present in this paper a numerical method for hypersingular boundary integral equations. This method was developed for planar crack problems: additional edge singularities are known to develop in that case. This paper includes a rigorous error analysis proving the convergence of our numerical scheme. Three types of examples are covered: the Laplace equation in free space, the linear elasticity equation in free space, and in half space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1106-m3406
Journal of Computational Mathematics, Vol. 29 (2011), Iss. 5 : pp. 543–573
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: Hypersingular boundary integral equations Numerical error analysis Eigenvalue problems Faults in free space and half space Somigliana tensor of the second kind in free space and in half space.
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