TY - JOUR
T1 - A Numerical Boundary Eigenvalue Problem for Elastic Cracks in Free and Half Space
AU - Darko Volkov
JO - Journal of Computational Mathematics
VL - 5
SP - 543
EP - 573
PY - 2011
DA - 2011/10
SN - 29
DO - http://doi.org/10.4208/jcm.1106-m3406
UR - https://global-sci.org/intro/article_detail/jcm/8492.html
KW - 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.
AB - <p style="text-align: justify;">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.</p>