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Nonlinear Schwarz-Fas Methods for Unstructured Finite Element Elliptic Problems.


DE200415007244

Publication Date 2002
Personal Author Jones, J. E.; Vassilevski, P. S.; Woodward, C. S.
Page Count 14
Abstract This paper provides extensions of an element agglomeration AMG method to nonlinear elliptic problems discretized by the finite element method on general unstructured meshes. The method constructs coarse discretization spaces and corresponding coarse nonlinear operators as well as their Jacobians. We introduce both standard (fairly quasi-uniformly coarsened) and non-standard (coarsened away) coarse meshes and respective finite element spaces. We use both kind of spaces in FAS type coarse subspace correction (or Schwarz) algorithms. Their performance is illustrated on a number of model problems. The coarsened away spaces seem to perform better than the standard spaces for problems with nonlinearities in the principal part of the elliptic operator.
Keywords
  • Finite element methods
  • Unstructured meshes
  • Agglomeration
  • Algorithms
  • Performance
  • Nonlinear Schwarz-Fas methods
  • Nonlinear elliptic problems
Source Agency
  • Technical Information Center Oak Ridge Tennessee
Corporate Authors Lawrence Livermore National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes Sponsored by Department of Energy, Washington, DC.
Document Type Technical Report
NTIS Issue Number 200507
Nonlinear Schwarz-Fas Methods for Unstructured Finite Element Elliptic Problems.
Nonlinear Schwarz-Fas Methods for Unstructured Finite Element Elliptic Problems.
DE200415007244

  • Finite element methods
  • Unstructured meshes
  • Agglomeration
  • Algorithms
  • Performance
  • Nonlinear Schwarz-Fas methods
  • Nonlinear elliptic problems
  • Technical Information Center Oak Ridge Tennessee
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