Distributed memory implementation of multigrid methods for groundwater flow problems with rough coefficients

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In this paper we present parallel solvers for large linear systems arising from the finite-element discretization of three-dimensional groundwater flow problems. We have tested our parallel implementations on the Intel Paragon XP/S 150 supercomputer using up to 1024 parallel processors. Our solvers are based on multigrid and Krylov subspace methods. Our goal is to combine powerful algorithms and current generation high performance computers to enhance the capabilities of computer models for groundwater modeling. We demonstrate that multigrid can be a scalable algorithm on distributed memory machines. We demonstrate the effectiveness of parallel multigrid based solvers by solving problems requiring more ... continued below

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7 p.

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Mahinthakumar, G. & Saied, F. March 1, 1996.

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  • Mahinthakumar, G. Oak Ridge National Lab., TN (United States)
  • Saied, F. Illinois Univ., Urbana, IL (United States). Dept. of Computer Science

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Description

In this paper we present parallel solvers for large linear systems arising from the finite-element discretization of three-dimensional groundwater flow problems. We have tested our parallel implementations on the Intel Paragon XP/S 150 supercomputer using up to 1024 parallel processors. Our solvers are based on multigrid and Krylov subspace methods. Our goal is to combine powerful algorithms and current generation high performance computers to enhance the capabilities of computer models for groundwater modeling. We demonstrate that multigrid can be a scalable algorithm on distributed memory machines. We demonstrate the effectiveness of parallel multigrid based solvers by solving problems requiring more than 64 million finite-elements in less than a minute. Our results show that multigrid as a stand alone solver works best for problems with smooth coefficients, but for rough coefficients it is best used as a preconditioner for a Krylov method.

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7 p.

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OSTI as DE96006714

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  • High performance computing `96, New Orleans, LA (United States), 2 Apr 1996

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  • Other: DE96006714
  • Report No.: CONF-9604103--2
  • Grant Number: AC05-96OR22464
  • Office of Scientific & Technical Information Report Number: 207045
  • Archival Resource Key: ark:/67531/metadc664575

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  • March 1, 1996

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  • June 29, 2015, 9:42 p.m.

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  • Jan. 19, 2016, 12:45 p.m.

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Mahinthakumar, G. & Saied, F. Distributed memory implementation of multigrid methods for groundwater flow problems with rough coefficients, article, March 1, 1996; Tennessee. (digital.library.unt.edu/ark:/67531/metadc664575/: accessed August 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.