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Comparing Two-Level Preconditioners for Solving Petroleum Reservoir Simulation Problems

In: Mathematical Modeling and Computational Intelligence in Engineering Applications

Author

Listed:
  • José R. P. Rodrigues

    (Petrobras/CENPES, Avenida Horácio Macedo)

  • Paulo Goldfeld

    (Universidade Federal do Rio de Janeiro, Instituto de Matemática)

  • Luiz M. Carvalho

    (Universidade do Estado do Rio de Janeiro (UERJ), Departamento de Matemática Aplicada)

Abstract

Domain decomposition ideas (proven suitable for parallelization) are combined with incomplete factorizations (which are standard in reservoir simulation) at subdomain level, with the ultimate goal of designing a scalable parallel preconditioner for addressing reservoir simulation problems. An ILU(k)-based two-level domain decomposition preconditioner is introduced, and its performance is compared with a two-level ILU(k)-block Jacobi preconditioner.

Suggested Citation

  • José R. P. Rodrigues & Paulo Goldfeld & Luiz M. Carvalho, 2016. "Comparing Two-Level Preconditioners for Solving Petroleum Reservoir Simulation Problems," Springer Books, in: Antônio José da Silva Neto & Orestes Llanes Santiago & Geraldo Nunes Silva (ed.), Mathematical Modeling and Computational Intelligence in Engineering Applications, chapter 0, pages 141-151, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-38869-4_10
    DOI: 10.1007/978-3-319-38869-4_10
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