A Global Jacobian Method for Mortar Discretizations of Nonlinear Porous Media Flows

DOI10.1137/130931837zbMath1457.65090OpenAlexW2040766208MaRDI QIDQ2874994

Benjamin Ganis, Gergina V. Pencheva, Mary Fanett Wheeler, Mika Juntunen, Ivan Yotov

Publication date: 13 August 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://aaltodoc.aalto.fi/handle/123456789/36917

zbMATH Keywords

interface problemnonoverlapping domain decompositionglobal Jacobianmultiscale mortar mixed finite elementnonlinear porous media flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) 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) Preconditioners for iterative methods (65F08)

Related Items (9)

A multiscale domain decomposition approach for parabolic equations using expanded mixed method ⋮ An Adaptive Preconditioner for Three-Dimensional Single-Phase Compressible Flow in Highly Heterogeneous Porous Media ⋮ Multipoint flux mixed finite element methods for slightly compressible flow in porous media ⋮ Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations ⋮ Adaptive mesh refinement with an enhanced velocity mixed finite element method on semi-structured grids using a fully coupled solver ⋮ Multiscale mortar expanded mixed discretization of nonlinear elliptic problems ⋮ Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations ⋮ Bridging from Pore to Continuum: A Hybrid Mortar Domain Decomposition Framework for Subsurface Flow and Transport ⋮ A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model

Uses Software

• ML
• MMMFEM

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