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SCALABLE PRECONDITIONING TECHNIQUES FOR FULLY-COUPLED HYDROMECHANICAL MODELS
Summary In this study, we consider efficient solution methods for mixed finite element models of variably-saturated fluid flow through deformable porous media. Our main focus is preconditioning techniques to accelerate the convergence of implicit Newton–Krylov solvers. We highlight an approach in which preconditioners are built from block-factorizations of the coupled system. The resulting methodology allows one to extend single-physics preconditioners in a natural way to multi-physics applications, allowing for significant code reuse while still capturing the tightly-coupled nature of the underlying physics. The proposed methodology has been extensively tested on large, three-dimensional problems with several million unknowns. Results demonstrate that an algebraic multigrid variant of the block-preconditioner leads to mesh-independent solver convergence and good parallel efficiency
SCALABLE PRECONDITIONING TECHNIQUES FOR FULLY-COUPLED HYDROMECHANICAL MODELS
Summary In this study, we consider efficient solution methods for mixed finite element models of variably-saturated fluid flow through deformable porous media. Our main focus is preconditioning techniques to accelerate the convergence of implicit Newton–Krylov solvers. We highlight an approach in which preconditioners are built from block-factorizations of the coupled system. The resulting methodology allows one to extend single-physics preconditioners in a natural way to multi-physics applications, allowing for significant code reuse while still capturing the tightly-coupled nature of the underlying physics. The proposed methodology has been extensively tested on large, three-dimensional problems with several million unknowns. Results demonstrate that an algebraic multigrid variant of the block-preconditioner leads to mesh-independent solver convergence and good parallel efficiency
SCALABLE PRECONDITIONING TECHNIQUES FOR FULLY-COUPLED HYDROMECHANICAL MODELS
White, Joshua A. (author) / Borja, Ronaldo I. (author)
2011-01-01
4 pages
Article/Chapter (Book)
Electronic Resource
English
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