An accelerated subspaces recycling strategy for the deflation of parametric linear systems based on model order reduction

DOI10.1016/j.cma.2022.115765OpenAlexW4309634073WikidataQ117220737 ScholiaQ117220737MaRDI QIDQ2679514

Dionysios Panagiotopoulos, Elke Deckers, Wim Desmet

Publication date: 20 January 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115765

zbMATH Keywords

parametric systemsKrylov subspaces recyclingAKR algorithmdeflation based iterative solution

Mathematics Subject Classification ID

Numerical analysis (65-XX) Systems theory; control (93-XX)

Related Items (1)

A domain decomposition strategy for mCRE-based model updating in dynamics

Cites Work

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• The block conjugate gradient algorithm and related methods
• A Rayleigh-Ritz preconditioner for the iterative solution to large scale nonlinear problems
• The superlinear convergence behaviour of GMRES
• GMRES-type methods for inconsistent systems
• A combination of the fast multipole boundary element method and Krylov subspace recycling solvers
• Iterative accelerating algorithms with Krylov subspaces for the solution to large-scale nonlinear problems
• Coupled BE-FE based vibroacoustic modal analysis and frequency sweep using a generalized resolvent sampling method
• An automatic Krylov subspaces recycling technique for the construction of a global solution basis of non-affine parametric linear systems
• An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems
• Krylov subspaces recycling based model order reduction for acoustic BEM systems and an error estimator
• The role eigenvalues play in forming GMRES residual norms with non-normal matrices
• On the Convergence of Restarted Krylov Subspace Methods
• A Framework for Deflated and Augmented Krylov Subspace Methods
• Total and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problems
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Recent computational developments in Krylov subspace methods for linear systems
• Recycling Krylov Subspaces for Sequences of Linear Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• Truncation Strategies for Optimal Krylov Subspace Methods
• Deflated and Augmented Krylov Subspace Techniques
• An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems
• A Deflated Version of the Conjugate Gradient Algorithm
• Galerkin Projection Methods for Solving Multiple Linear Systems
• GMRES with Deflated Restarting
• Any Nonincreasing Convergence Curve is Possible for GMRES
• Recycling Krylov Subspaces and Truncating Deflation Subspaces for Solving Sequence of Linear Systems
• On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods
• Breakdown-free GMRES for Singular Systems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
• Methods of conjugate gradients for solving linear systems

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