Multigrid methods for a parameter dependent problem in primal variables View Full Text


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Article Info

DATE

1999-11

AUTHORS

Joachim Schöberl

ABSTRACT

In this paper we consider multigrid methods for the parameter dependent problem of nearly incompressible materials. We construct and analyze multilevel-projection algorithms, which can be applied to the mixed as well as to the equivalent, non-conforming finite element scheme in primal variables. For proper norms, we prove that the smoothing property and the approximation property hold with constants that are independent of the small parameter. Thus we obtain robust and optimal convergence rates for the W-cycle and the variable V-cycle multigrid methods. The numerical results pretty well conform the robustness and optimality of the multigrid methods proposed. More... »

PAGES

97-119

References to SciGraph publications

  • 1990-12. A multi-grid algorithm for mixed problems with penalty in NUMERISCHE MATHEMATIK
  • 1964-12. Sur Une Classe D’Espaces D’Interpolation in PUBLICATIONS MATHÉMATIQUES DE L'IHÉS
  • 1990-12. A multigrid method for a parameter dependent problem in solid mechanics in NUMERISCHE MATHEMATIK
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    http://scigraph.springernature.com/pub.10.1007/s002110050465

    DOI

    http://dx.doi.org/10.1007/s002110050465

    DIMENSIONS

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