Multigrid Methods III

1. Front Matter

   Pages I-IX

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2. Invited Papers

   1. Front Matter

      Pages N1-N1

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   2. Multigrid Methods for Steady Euler- and Navier-Stokes Equations Based on Polynomial Flux-Difference Splitting

      • Erik Dick

      Pages 1-20

   3. Recent Developments for the PSMG Multiscale Method

      • Paul O. Frederickson, Oliver A. McBryan

      Pages 21-39

   4. An adaptive multigrid approach for the solution of the 2D semiconductor equations

      • P. W. Hemker, J. Molenaar

      Pages 41-60

   5. Multiscale Monte Carlo Algorithms in Statistical Mechanics and Quantum Field Theory

      • P. G. Lauwers

      Pages 61-82

   6. Two Fast Solvers Based on the Multi-Level Splitting of Finite Element Spaces

      • Peter Leinen, Harry Yserentant

      Pages 83-90

   7. Multigrid Methods for Turbulent Flow Problems

      • John Ruge, Achi Brandt, Jim McWilliams, Ralph Milliff

      Pages 91-103

   8. A survey of Fourier smoothing analysis results

      • P. Wesseling

      Pages 105-127

3. Contributed Papers

   1. Front Matter

      Pages 129-129

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   2. Multilevel Methods for Fast Solution of N-Body and Hybrid Systems

      • Dinshaw S. Balsara, Achi Brandt

      Pages 131-142

   3. Parabolic Multigrid Revisited

      • Achi Brandt, Joseph Greenwald

      Pages 143-154

   4. Time-Parallel Multigrid Solution of the Navier-Stokes Equations

      • Jens Burmeister, Graham Horton

      Pages 155-166

   5. Solution of 3-D Problems using Overlapping Grids and Multi-Grid Methods

      • Laszlo Fuchs

      Pages 167-177

   6. A Multigrid Method for the Solution of a Convection — Diffusion Equation with Rapidly Varying Coefficients

      • Jürgen Fuhrmann, Klaus Gärtner

      Pages 179-190

   7. Parallel Multigrid Solution of 2D and 3D Anisotropic Elliptic Equations: Standard and Nonstandard Smoothing

      • U. Gärtel, A. Krechel, A. Niestegge, H.-J. Plum

      Pages 191-209

   8. Parallel Multigrid Methods on Sparse Grids

      • Michael Griebel

      Pages 211-221

   9. Analysis of multigrid methods for general systems of PDE

      • Bertil Gustafsson, Per Lötstedt

      Pages 223-234

   10. On the convergence of the nonlinear multigrid algorithm for potential operators

       • S. Hengst, G. Telschow

       Pages 235-240

   11. A Multigrid Algorithm with Time-Dependent, Locally Refined Grids for Solving the Nonlinear Diffusion Equation on a Nonrectangular Geometry

       • W. Joppich

       Pages 241-252

These proceedings contain a selection of papers presented at the Third European Conference on Multigrid Methods which was held in Bonn on October 1-4, 1990. Following conferences in 1981 and 1985, a platform for the presentation of new Multigrid results was provided for a third time. Multigrid methods no longer have problems being accepted by numerical analysts and users of numerical methods; on the contrary, they have been further developed in such a successful way that they have penetrated a variety of new fields of application. The high number of 154 participants from 18 countries and 76 presented papers show the need to continue the series of the European Multigrid Conferences. The papers of this volume give a survey on the current Multigrid situation; in particular, they correspond to those fields where new developments can be observed. For example, se­ veral papers study the appropriate treatment of time dependent problems. Improvements can also be noticed in the Multigrid approach for semiconductor equations. The field of parallel Multigrid variants, having been started at the second European Multigrid Conference, is now at the centre of interest.

• algorithms
• development
• differential equation
• equation
• field
• finite element method
• hyperbolic equation
• mechanics
• numerical method
• partial differential equation
• polynomial
• presentation
• Scheme
• shading
• turbulence

• Institut für Informatik und Praktische Mathematik, Universität Kiel, Kiel 1, Germany

  W. Hackbusch

• Gesellschaft für Mathematik und Datenverarbeitung mbH, Sankt Augustin 1, Germany

  U. Trottenberg

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