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Parallel Solution Techniques for Sparse Linear Systems in Circuit Simulation

  • Achim Basermann
  • Fabienne Cortial-Goutaudier
  • Uwe Jaekel
  • Koutaro Hachiya
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 4)

Abstract

For solving sparse linear systems from circuit simulation whose coefficient matrices include a few dense rows and columns, a parallel Bi-CGSTAB algorithm with distributed Schur complement (DSC) preconditioning is presented. The parallel efficiency of the solver is increased by transforming the equation system into a problem without dense rows and columns as well as by exploitation of parallel graph partitioning methods. The costs of local, incomplete LU decompositions are decreased by fill-in reducing reordering methods of the matrix and a threshold strategy for the factorization. The efficiency of the parallel solver is demonstrated with real circuit simulation problems on a PC cluster.

Keywords

Outer Iteration Circuit Simulation Direct Solver Sparsity Pattern Sparse Linear System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Achim Basermann
    • 1
  • Fabienne Cortial-Goutaudier
    • 1
  • Uwe Jaekel
    • 1
  • Koutaro Hachiya
    • 2
  1. 1.C&C Research LaboratoriesNEC Europe Ltd.Sankt AugustinGermany
  2. 2.System LSI Design Engineering DivisionNEC Electron DevicesKawasaki, KanagawaJapan

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