The Development of an Object-Oriented Parallel Block Preconditioning Framework

DOI10.1007/978-0-387-09707-7_3zbMath1159.65358OpenAlexW56300381MaRDI QIDQ3613499

Richard L. Muddle, Matthias Heil, Jonathan Boyle, Milan D. Mihajlović

Publication date: 12 March 2009

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-09707-7_3

zbMATH Keywords

numerical examplesnonlinear elasticitypreconditionersPoisson equationfinite-elementfluid-structure interactionKrylov subspace methods

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Uses Software

• hypre
• Trilinos
• BPKit
• oomph-lib

Cites Work

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• An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems.
• A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations
• Fluid-structure interaction. Modelling, simulation, optimisation. Proceedings of the workshop, Hohenwart, Germany, October 2005
• Component-wise algebraic multigrid preconditioning for the iterative solution of stress analysis problems from microfabrication technology
• oomph-lib – An Object-Oriented Multi-Physics Finite-Element Library
• An overview of the Trilinos project
• A Supernodal Approach to Sparse Partial Pivoting

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