Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems-Reference-Cited by-同舟云学术

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Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems

Published:2018-02-12 Issue:9 Volume:39 Page:921-936
ISSN:0163-0563
Container-title:Numerical Functional Analysis and Optimization
language:en
Short-container-title:Numerical Functional Analysis and Optimization

Author:

Axelsson O.¹,Karátson J.²³

Affiliation:

1. Department of applied mathematics and computer science and Department IT4Innovations, Institute of Geonics AS CR, Ostrava, Czech Republic

2. Department of Applied Analysis and MTA-ELTE Numerical Analysis and Large Networks Research Group, ELTE University, Budapest, Hungary

3. Department of Analysis, Technical University, Budapest, Hungary

Publisher

Informa UK Limited

Subject

Control and Optimization,Computer Science Applications,Signal Processing,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/01630563.2018.1431928

Reference21 articles.

1. Iterative Solution Methods

2. Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems

3. A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control

4. Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators

5. Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Superlinear Krylov convergence under streamline diffusion FEM for convection‐dominated elliptic operators;Numerical Linear Algebra with Applications;2024-09-02

2. Rates of robust superlinear convergence of preconditioned Krylov methods for elliptic FEM problems;Numerical Algorithms;2023-10-07

3. Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners;SIAM Journal on Numerical Analysis;2023-04-27

4. Bi-parametric operator preconditioning;Computers & Mathematics with Applications;2021-11

5. Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks;Numerische Mathematik;2020-08-26

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