Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications. Multigrid methods are invaluable to researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. They are also becoming increasingly important in economics and financial mathematics. Readers are presented with an invaluable summary covering 25 years of practical experience acquired by the multigrid research group at the Germany National Research Center for Information Technology. The book presents both practical and theoretical points of view.

Multigrid

Science & Math

Trottenberg, Ulrich

Oosterlee, Cornelius W.

Schuller, Anton

Mathematics

Academic Press

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 ................................... .

Advances in Multi-Grid Methods: Proceedings of the conference held in Oberwolfach, December 8 to 13, 1984 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 11) (German Edition)

Braess, Dietrich

Hackbusch, Wolfgang

Vieweg+Teubner Verlag

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