Space–Time Domain Decomposition with Finite Volumes for Porous Media Applications

DOI10.1007/978-3-319-05789-7_54zbMath1443.76154OpenAlexW874972770MaRDI QIDQ3133669

Paul-Marie Berthe, Caroline Japhet, Pascal Omnes

Publication date: 5 February 2018

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_54

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (6)

Discrete analysis of Schwarz waveform relaxation for a diffusion reaction problem with discontinuous coefficients ⋮ A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations ⋮ Discrete-time analysis of optimized Schwarz waveform relaxation with Robin parameters depending on the targeted iteration count ⋮ Convergence analysis on unstructured meshes of a DDFV method for flow problems with full Neumann boundary conditions ⋮ Discrete optimization of Robin transmission conditions for anisotropic diffusion with discrete duality finite volume methods ⋮ Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation

Cites Work

• A homographic best approximation problem with application to optimized Schwarz waveform relaxation
• Nonoverlapping Schwarz algorithm for solving two-dimensional m-DDFV schemes
• Optimized Schwarz Algorithms in the Framework of DDFV Schemes
• Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems
• A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
• An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions

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