scholarly journals A multigrid-based preconditioned Krylov subspace method for the Helmholtz equation with PML

2011 ◽  
Vol 383 (2) ◽  
pp. 522-540 ◽  
Author(s):  
Zhongying Chen ◽  
Dongsheng Cheng ◽  
Wei Feng ◽  
Tingting Wu ◽  
Hongqi Yang
Keyword(s):  
Helmholtz Equation ◽  
Krylov Subspace ◽  
Krylov Subspace Method ◽  
Subspace Method ◽  
Preconditioned Krylov Subspace Method

scholarly journals Krylov subspace methods for estimating operator-vector multiplications in Hilbert spaces

2021 ◽  
Author(s):  
Yuka Hashimoto ◽  
Takashi Nodera
Keyword(s):  
Krylov Subspace ◽  
Time Series Data ◽  
Linear Equations ◽  
Transfer Operator ◽  
Krylov Subspace Methods ◽  
Krylov Subspace Method ◽  
Linear Operators ◽  
Series Data ◽  
Subspace Method ◽  
Subspace Methods

AbstractThe Krylov subspace method has been investigated and refined for approximating the behaviors of finite or infinite dimensional linear operators. It has been used for approximating eigenvalues, solutions of linear equations, and operator functions acting on vectors. Recently, for time-series data analysis, much attention is being paid to the Krylov subspace method as a viable method for estimating the multiplications of a vector by an unknown linear operator referred to as a transfer operator. In this paper, we investigate a convergence analysis for Krylov subspace methods for estimating operator-vector multiplications.

Fast EM Stress Evolution Analysis Using Krylov Subspace Method

2019 ◽  
pp. 47-66
Author(s):  
Sheldon Tan ◽  
Mehdi Tahoori ◽  
Taeyoung Kim ◽  
Shengcheng Wang ◽  
Zeyu Sun ◽  
...  
Keyword(s):  
Krylov Subspace ◽  
Krylov Subspace Method ◽  
Subspace Method ◽  
Stress Evolution ◽  
Evolution Analysis
Sign in / Sign up

Export Citation Format

Share Document