@Article{JCM-29-543, author = {Darko Volkov}, title = {A Numerical Boundary Eigenvalue Problem for Elastic Cracks in Free and Half Space}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1106-m3406}, url = {http://global-sci.org/intro/article_detail/jcm/8492.html} }