A Numerical Boundary Eigenvalue Problem for Elastic Cracks in Free and Half Space
DOI:
https://doi.org/10.4208/jcm.1106-m3406Keywords:
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.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.