A multilevel Newton–Krylov interface solver for multiphysics couplings of flow in porous media

DOI10.1002/nla.263zbMath1071.76586OpenAlexW2058458232MaRDI QIDQ5317828

Ivan Yotov

Publication date: 21 September 2005

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.263

zbMATH Keywords

multiblockdomain decompositionNewton-Krylov methodsmultigridmultiphase flownon-matching gridsmultiphysicsmortar finite elements

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Flows in porous media; filtration; seepage (76S05) Numerical computation of matrix norms, conditioning, scaling (65F35) Three or more component flows (76T30) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Domain decomposition and expanded mixed method for parabolic partial differential equations ⋮ Analysis and application of high order implicit Runge-Kutta schemes for unsteady conjugate heat transfer: a strongly-coupled approach ⋮ Efficient uncertainty propagation for network multiphysics systems ⋮ Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations ⋮ Efficient algorithms for multiscale modeling in porous media ⋮ A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model

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