krylov subspace methods
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Application of different Krylov subspace methods in subcooled flow boiling simulation

2022 ◽  
Vol 168 ◽  
pp. 108904
Author(s):  
Hongyang Wei ◽  
Yi-Tung Chen
Keyword(s):  
Krylov Subspace ◽  
Flow Boiling ◽  
Krylov Subspace Methods ◽  
Subspace Methods ◽  
Subcooled Flow Boiling ◽  
Subcooled Flow

On tensor tubal-Krylov subspace methods

2021 ◽  
pp. 1-24
Author(s):  
Alaa El Ichi ◽  
Khalide Jbilou ◽  
Rachid Sadaka
Keyword(s):  
Krylov Subspace ◽  
Krylov Subspace Methods ◽  
Subspace Methods

Development of preconditioners for numerical simulation of two-phase flow using Krylov subspace methods

2021 ◽  
Vol 139 ◽  
pp. 103852
Author(s):  
H. Esmaili ◽  
H. Kazeminejad ◽  
R. Ahangari ◽  
E. Boustani
Keyword(s):  
Numerical Simulation ◽  
Krylov Subspace ◽  
Two Phase Flow ◽  
Krylov Subspace Methods ◽  
Phase Flow ◽  
Subspace Methods ◽  
Two Phase

Tensor Krylov subspace methods with an invertible linear transform product applied to image processing

2021 ◽  
Vol 166 ◽  
pp. 186-207
Author(s):  
Lothar Reichel ◽  
Ugochukwu O. Ugwu
Keyword(s):  
Image Processing ◽  
Krylov Subspace ◽  
Krylov Subspace Methods ◽  
Subspace Methods ◽  
Linear Transform

A preconditioning technique in conjunction with Krylov subspace methods for solving multilinear systems

2021 ◽  
Vol 116 ◽  
pp. 107051
Author(s):  
Fatemeh P.A. Beik ◽  
Mehdi Najafi-Kalyani
Keyword(s):  
Krylov Subspace ◽  
Krylov Subspace Methods ◽  
Subspace Methods ◽  
Preconditioning Technique

Evaluation of different Krylov subspace methods for simulation of the water faucet problem

2021 ◽  
Vol 32 (5) ◽  
Author(s):  
Hong-Yang Wei ◽  
Kevin Briggs ◽  
Victor Quintanilla ◽  
Yi-Tung Chen
Keyword(s):  
Krylov Subspace ◽  
Krylov Subspace Methods ◽  
Subspace Methods

scholarly journals Recycling Krylov Subspaces and Truncating Deflation Subspaces for Solving Sequence of Linear Systems

2021 ◽  
Vol 47 (2) ◽  
pp. 1-30
Author(s):  
Hussam Al Daas ◽  
Laura Grigori ◽  
Pascal Hénon ◽  
Philippe Ricoux
Keyword(s):  
Linear Systems ◽  
Krylov Subspace ◽  
Real Life ◽  
Krylov Subspace Methods ◽  
Krylov Subspaces ◽  
Systems Of Equations ◽  
The Matrix ◽  
Value Decomposition ◽  
The Impact ◽  
Linear Systems Of Equations

This article presents deflation strategies related to recycling Krylov subspace methods for solving one or a sequence of linear systems of equations. Besides well-known strategies of deflation, Ritz-, and harmonic Ritz-based deflation, we introduce an Singular Value Decomposition based deflation technique. We consider the recycling in two contexts: recycling the Krylov subspace between the restart cycles and recycling a deflation subspace when the matrix changes in a sequence of linear systems. Numerical experiments on real-life reservoir simulation demonstrate the impact of our proposed strategy.

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