On POD-based deflation vectors for DPCG applied to porous media problems

DOI10.1016/j.cam.2017.06.032zbMath1432.76253OpenAlexW2748284990MaRDI QIDQ1675949

Jan-Dirk Jansen, Gabriela Berenice Diaz Cortés, Kees Vuik

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://resolver.tudelft.nl/uuid:e5a8f2ea-de2c-4cab-9c5c-be630e28202d

zbMATH Keywords

PODdeflationheterogeneous porous mediaPCGsingle-phase flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (6)

An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems ⋮ Deflation techniques applied on mixed model equations ⋮ AI‐enhanced iterative solvers for accelerating the solution of large‐scale parametrized systems ⋮ Accelerating the solution of linear systems appearing in two-phase reservoir simulation by the use of POD-based deflation methods ⋮ \(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis ⋮ Projections, Deflation, and Multigrid for Nonsymmetric Matrices

Uses Software

• Matlab
• MRST

Cites Work

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• A comparison of various deflation vectors applied to elliptic problems with discontinuous coefficients
• Preconditioning techniques for large linear systems: A survey
• Reduced-order optimal control of water flooding using proper orthogonal decomposition
• Krylov-Subspace Recycling via the POD-Augmented Conjugate-Gradient Method
• Development and application of reduced-order modeling procedures for subsurface flow simulation
• Computational Methods for Multiphase Flows in Porous Media
• Accelerating iterative solution methods using reduced‐order models as solution predictors
• Approximation of Large-Scale Dynamical Systems

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