Title:     Multigrid methods for the computation of singular solutions 
           and stress intensity factors III: Interface singularities  

Author:    Susanne C. Brenner and Li-yeng Sung

Status:    Computer Methods in Applied Mechanics and Engineering
           v. 192 (2003),  4687--4702

Abstract:  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.




Presented at:

- Treatment of Singularities, p-FEM 2000, Conference in Honor of
  Barna Szab\`o's 60th Birthday, St. Louis, Missouri, May 31-June, 2000

- Southeast Conference on Applied Mathematics (SECAM), 
  Raleigh, North Carolina, November 9-11, 2001

- Fifth World Congress on Computational Mechanics,
  Vienna, Austria, July 2002

- Minisymposium: Boundary Value Problems with Boundary Singularities
  and Related Methods, The Fifth International Congress on Industrial 
  and Applied Mathematics, Sydney, Australia, July 7-11, 2003