Domain decomposition with characteristic finite difference method for two-phase displacement problems

DOI10.1016/J.APNUM.2007.07.006zbMath1142.76038OpenAlexW2082694319MaRDI QIDQ941605

Yi-Rang Yuan, Chang-Feng Li

Publication date: 1 September 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.07.006

zbMATH Keywords

error estimatesparallel computationDarcy law

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

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• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
• Efficient Parallel Algorithms for Parabolic Problems

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