A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity
DOI10.1007/s00466-017-1450-zzbMath1398.65047OpenAlexW2739493827WikidataQ113327370 ScholiaQ113327370MaRDI QIDQ1693306
Serge Gratton, Xavier Vasseur, Nicolas Tardieu, Sylvain Mercier
Publication date: 12 February 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: http://oatao.univ-toulouse.fr/18305/1/Mercier_18305.pdf
preconditioningdeflationstructural mechanicssaddle point matricessequence of linear systemsnonsymmetric matrices
Computational methods for sparse matrices (65F50) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Preconditioners for iterative methods (65F08)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Preconditioned recycling Krylov subspace methods for self-adjoint problems
- A Rayleigh-Ritz preconditioner for the iterative solution to large scale nonlinear problems
- The linear algebra of block quasi-Newton algorithms
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Accelerating with rank-one updates
- Preconditioning techniques for large linear systems: A survey
- A new family of preconditioned iterative solvers for nonsymmetric linear systems
- Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials
- Incremental spectral preconditioners for sequences of linear systems
- Spectral deflation in Krylov solvers: a theory of coordinate space based methods
- Krylov subspace recycling for sequences of shifted linear systems
- A Note on Preconditioning Nonsymmetric Matrices
- Natural Preconditioning and Iterative Methods for Saddle Point Systems
- A Newton–Krylov method for solid mechanics
- A Framework for Deflated and Augmented Krylov Subspace Methods
- Finite Elements and Fast Iterative Solvers
- A New Analysis of Block Preconditioners for Saddle Point Problems
- Iterative Methods for Linear Systems
- Total and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problems
- Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics
- Deflation of Conjugate Gradients with Applications to Boundary Value Problems
- A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation
- Preconditioner updates for solving sequences of linear systems in matrix-free environment
- On A Class of Limited Memory Preconditioners For Large Scale Linear Systems With Multiple Right-Hand Sides
- Nonsymmetric Preconditioner Updates in Newton–Krylov Methods for Nonlinear Systems
- Newton-Type Minimization via the Lanczos Method
- Recent computational developments in Krylov subspace methods for linear systems
- Numerical solution of saddle point problems
- Multilevel Block Factorization Preconditioners
- Efficient Preconditioning of Sequences of Nonsymmetric Linear Systems
- Large-scale topology optimization using preconditioned Krylov subspace methods with recycling
- Recycling Krylov Subspaces for Sequences of Linear Systems
- Deflation and Balancing Preconditioners for Krylov Subspace Methods Applied to Nonsymmetric Matrices
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Conjugate gradient method with preconditioning by projector
- Adaptively Preconditioned GMRES Algorithms
- Numerical Optimization
- Deflated and Augmented Krylov Subspace Techniques
- Solving Nonlinear Equations with Newton's Method
- On Solving Block-Structured Indefinite Linear Systems
- A Class of Spectral Two-Level Preconditioners
- Automatic Preconditioning by Limited Memory Quasi-Newton Updating
- A Deflated Version of the Conjugate Gradient Algorithm
- Templates for the Solution of Algebraic Eigenvalue Problems
- Iterative Krylov Methods for Large Linear Systems
- Eigenvalue translation based preconditioners for the GMRES(k) method
- Approximate solutions and eigenvalue bounds from Krylov subspaces
- On the Use of Rigid Body Modes in the Deflated Preconditioned Conjugate Gradient Method
- Deflated and Augmented Krylov Subspace Methods: A Framework for Deflated BiCG and Related Solvers
- Preconditioning
- Recycling Subspace Information for Diffuse Optical Tomography
- A New Method of Solving Nonlinear Simultaneous Equations
- New updates of incomplete LU factorizations and applications to large nonlinear systems
This page was built for publication: A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity