A Frozen Jacobian Multiscale Mortar Preconditioner for Nonlinear Interface Operators

DOI10.1137/110826643zbMath1255.76132OpenAlexW1991823096MaRDI QIDQ4903656

Tim Wildey, Benjamin Ganis, Gergina V. Pencheva, Ivan Yotov, Mary Fanett Wheeler

Publication date: 24 January 2013

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

Full work available at URL: https://semanticscholar.org/paper/fe2085d4eb98bf76b9f23772435dd348a2f8b329

zbMATH Keywords

domain decompositionmultiphase flowmultiscalemortar finite elementnonlinear interface problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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 (10)

Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations ⋮ 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 ⋮ A multiscale preconditioner for microscale deformation of fractured porous media ⋮ Stochastic multiscale flux basis for Stokes-Darcy flows ⋮ A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models ⋮ Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations ⋮ A Nonlinear FETI-DP Method with an Inexact Coarse Problem ⋮ A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model ⋮ Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models

Uses Software

• KELLEY
• MMMFEM

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