Advances in Multigrid Methods

by Dietrich Braess

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During the week of December 8-13, 1984, a conference on Multi-Grid Methods was held at the Mathematisches Forschungs- institut (Mathematical Research Institute) in Oberwolfach. The conference was suggested by the GAMM-Committee "Effiziente numerische Verfahren fUr partielle Differentialgleichungen". We were pleased to have 42 participants from 12 countries. These proceedings contain some contributions to the confe- rence. The centre of interest in the more theoretical contri- butions were exact convergence proofs for multi-grid method. Here, the theoretical foundation for the application of the method to the Stokes equations, the biharmonic equation in its formulation as a mixed finite element problem and other more involved problems were investigated. Moreover, improvements and new attacks for getting quantitative results on convergence rates were reported. Another series of contributions was concerned with the de- velopment of highly efficient and fast algorithms for various partial differential equations. Also in this framework, the Stokes and the biharmonic equations were investigated. Other lectures treated problems from fluid mechanics (as Navier- Stokes and Euler equations), the dam-problem and eigenvalue problems. The editors would like to thank Professor M. Barner, the director of Mathematisches Forschungsinstitut Oberwolfach for making this conference possible. D. Braess, Bochum W. Hackbusch, Kiel U. Trottenberg, St. Augustin v CONTENTS O. AXELSSON: A mixed variable finite element method for the efficient solution of nonlinear diffusion and pot- tial flow equations ................................... .
  • ISBN10 352808085X
  • ISBN13 9783528080853
  • Publish Date 5 February 1985
  • Publish Status Out of Print
  • Out of Print 19 August 2021
  • Publish Country DE
  • Imprint Springer Vieweg
  • Edition 1985 ed.
  • Format Hardcover
  • Pages 120
  • Language English