Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes

@article{Chan1994AdditiveSD,
  title={Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes},
  author={Tony F. Chan and Jun Zou},
  journal={Numerical Algorithms},
  year={1994},
  volume={8},
  pages={329-346}
}
We give several additive Schwarz domain decomposition methods for solving finite element problems which arise from the discretizations of elliptic problems on general unstructured meshes in two and three dimensions. Our theory requires no assumption (for the main results) on the substructures which constitute the whole domain, so each substructure can be of arbitrary shape and of different size. The global coarse mesh is allowed to be non-nested to the fine grid on which the discrete problem is… CONTINUE READING
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