Parallel solution of Partial Differential Equations with Adaptive Multigrid Methods on Unstructured Grids

  • Peter Bastian
  • Klaus Birken
  • Klaus Johannsen
  • Stefan Lang
  • Volker Reichenberger
  • Christian Wieners
  • Gabriel Wittum
  • Christian Wrobel
Conference paper

DOI: 10.1007/978-3-642-59686-5_48

Cite this paper as:
Bastian P. et al. (2000) Parallel solution of Partial Differential Equations with Adaptive Multigrid Methods on Unstructured Grids. In: Krause E., Jäger W. (eds) High Performance Computing in Science and Engineering ’99. Springer, Berlin, Heidelberg

Abstract

We present new parallel results for the solution of partial differential equations based on the software platform UG. State-of-the-art numerical methods have been developed and implemented for the efficient and comfortable solution of real-world problems. UG supports distributed unstructured grids, adaptive grid refinement, derefinement/coarsening, robust parallel multigrid methods, various discretizations, dynamic load balancing, mapping and grid partitioning. Here, we give examples for a parallel algebraic multigrid method, for elasto-plastic computations, and for simulations of two-phase flow in porous media.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Peter Bastian
    • 1
  • Klaus Birken
    • 1
  • Klaus Johannsen
    • 1
  • Stefan Lang
    • 1
  • Volker Reichenberger
    • 1
  • Christian Wieners
    • 1
  • Gabriel Wittum
    • 1
  • Christian Wrobel
    • 1
  1. 1.Interdisziplinäres Zentrum für Wissenschaftliches RechnenUniversität HeidelbergHeidelbergGermany