Adaptive Multigrid Methods in MPI

  • Authors:
  • Fabrizio Baiardi;Sarah Chiti;Paolo Mori;Laura Ricci

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Proceedings of the 7th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
  • Year:
  • 2000

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Abstract

Adaptive multigrid methods solve partial differential equations through a discrete representation of the domain that introduces more points in those zones where the equation behavior is highly irregular. The distribution of the points changes at run time in a way that cannot be foreseen in advance. We propose a methodology to develop a highly parallel solution based upon a load balancing strategy that respects the locality property of adaptive multigrid method, where the value of a point p depends on the points that are "close" to p according to a neighborhood stencil. We also describe the update of the mapping at run time to recover an unbalancing, together with strategies to acquire data mapped onto other processing nodes. A MPI implementation is presented together with some experimental results.