Some Schwarz Algorithms for the P-version Finite Element Method

@inproceedings{Pavarino1994SomeSA,
  title={Some Schwarz Algorithms for the P-version Finite Element Method},
  author={Luca F. Pavarino},
  year={1994}
}
Domain decomposition methods based on the Schwarz framework were originally proposed for the h-version nite element method for elliptic problems. In this paper, we consider instead the p-version, in which increased accuracy is achieved by increasing the degree of the elements while the mesh is xed. We consider linear, scalar, self adjoint, second order elliptic problems and quadrilateral elements in the nite element discretization. For a class of overlapping additive Schwarz methods, we prove a… CONTINUE READING