Multigrid Methods for Elliptic Obstacle Problems on 2 D Bisection Grids

@inproceedings{Chen2010MultigridMF,
  title={Multigrid Methods for Elliptic Obstacle Problems on 2 D Bisection Grids},
  author={Long Chen and Ricardo H. Nochetto and Chen-Song Zhang},
  year={2010}
}
In this paper, we develop and analyze an efficient multigrid method to solve the finite element systems from elliptic obstacle problems on two dimensional adaptive meshes. Adaptive finite element methods (AFEMs) based on local mesh refinement are an important and efficient approach when the solution is non-smooth. An optimality theory on AFEM for linear elliptic equations can be found in Nochetto et al. [2009]. To achieve optimal complexity, an efficient solver for the discretization is… CONTINUE READING
43 Citations
16 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 16 references

A coarsening algorithm and multilevel methods on adaptive grids by newest vertex bisection

  • Long Chen, Chen-Song Zhang
  • Submitted to Journal of Computational Mathematics…
  • 2009
3 Excerpts

Local multilevel methods on graded bisection grids for H1 system

  • Long Chen, Ricardo H. Nochetto, Jinchao Xu
  • Submitted to Journal of Computational Mathematics…
  • 2009
9 Excerpts

Multigrid methods for obstacle problems

  • C. Graser, R. Kornhuber
  • Journal of Computational Mathematics,
  • 2009

Nochetto , and Jinchao Xu . Local multilevel methods on graded bisection grids for H 1 system

  • Long Chen, H. Ricardo
  • 2009

Similar Papers

Loading similar papers…