A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model

DOI10.1137/140952922zbMath1312.76027OpenAlexW2046358818MaRDI QIDQ5251780

Benjamin Ganis, Kundan Kumar, Gergina V. Pencheva, Ivan Yotov, Mary Fanett Wheeler

Publication date: 21 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/84b72c9ca8bc0ad9ad3338664ebcfe6ed4882fbc

zbMATH Keywords

two-phase flowmultiscale methodporous media flowmixed finite elementnonoverlapping domain decompositionmortar finite elementglobal linearization

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (12)

Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations ⋮ Multi-component multiphase flow through a poroelastic medium ⋮ Enriched Galerkin methods for two-phase flow in porous media with capillary pressure ⋮ Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems ⋮ Control Volume Approximation of Degenerate Two-Phase Porous Flows ⋮ Adaptive mesh refinement with an enhanced velocity mixed finite element method on semi-structured grids using a fully coupled solver ⋮ Space-time domain decomposition for two-phase flow between different rock types ⋮ Multi-scale diffuse interface modeling of multi-component two-phase flow with partial miscibility ⋮ A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types ⋮ A Nonlinear FETI-DP Method with an Inexact Coarse Problem ⋮ A space-time domain decomposition approach using enhanced velocity mixed finite element method ⋮ Multiscale mixed methods for two-phase flows in high-contrast porous media

Uses Software

• MMMFEM
• IPARS

Cites Work

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