Multigrid methods for the computation of singular solutions and stress intensity factors III: interface singularities Original Research Article

It is shown in this paper that two-dimensional interface problems with large jumps in the coefficients can be solved effectively by the piecewise linear finite element method on quasi-uniform grids. This is achieved by combining the full multigrid methodology, the singular function representation of the solution and the extraction formulas for stress intensity factors. The robustness of the algorithm is demonstrated by numerical experiments.