๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Towards robust two-level methods for indefinite systems

โœ Scribed by J. Fish; Y. Qu; A. Suvorov

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
344 KB
Volume
45
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

โœฆ Synopsis

We present a black-box two-level solver for inde"nite algebraic linear system of equations arising from the "nite element discretization. Numerical experiments show the applicability of the method to 3D Helmholtz equations and shear banding problems with strain softening.

๐Ÿ“œ SIMILAR VOLUMES

Global-basis two-level method for indefi
Global-basis two-level method for indefinite systems. Part 2: computational issues
โœ Yong Qu; Jacob Fish ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 208 KB ๐Ÿ‘ 1 views

Algorithmic aspects and computational e$ciency of the global-basis two-level method are investigated in the context of symmetric inde"nite system of equations. The algorithm includes e$cient construction of the global-basis prolongator using Lanczos vectors, predictor}corrector smoothing procedures,

Global-basis two-level method for indefi
Global-basis two-level method for indefinite systems. Part 1: convergence studies
โœ Jacob Fish; Yong Qu ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 532 KB

A robust two-level solver for high inde"nite system of equations arising from the "nite element discretization is developed. It is shown that the optimal coarse model is spanned by the spectrum of the highest eigenmodes of the smoothing iteration matrix. Convergence studies conducted on a model prol

Uniform convergence and two-level Schwar
Uniform convergence and two-level Schwarz method for Carey non-conforming element method for non-self-adjoint and indefinite problems
โœ Chen, Jinru ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 140 KB

In this paper, the existence, uniqueness and uniform convergence of the solution of the Carey nonconforming element with non-quasi-uniform partitions is proved for non-self-adjoint and inde"nite secondorder elliptic problems under a minimal regularity assumption. Furthermore, the optimal error estim

Conjugate gradient and minimal residual
Conjugate gradient and minimal residual methods for solving symmetric indefinite systems
โœ Yu-Ling Lai; Wen-Wei Lin; Dan'l Pierce ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 941 KB

Norm-minimizing-type methods for solving large sparse linear systems with symmetric and indefinite coefficient matrices are considered. The Krylov subspace can be generated by either the Lanczos approach, such as the methods MINRES, GMRES and QMR, or by a conjugate-gradient approach. Here, we propos