๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Domain embedding preconditioners for mixed systems

โœ Scribed by Torgeir Rusten; Panayot S. Vassilevski; Ragnar Winther

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
141 KB
Volume
5
Category
Article
ISSN
1070-5325

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper we study block diagonal preconditioners for mixed systems derived from the Dirichlet problems for second order elliptic equations. The main purpose is to discuss how an embedding of the original computational domain into a simpler extended domain can be utilized in this case. We show that a family of uniform preconditioners for the corresponding problem on the extended, or fictitious, domain leads directly to uniform preconditioners for the original problem. This is in contrast to the situation for the standard finite element method, where the domain embedding approach for the Dirichlet problem is less obvious.

๐Ÿ“œ SIMILAR VOLUMES

Preconditioners for nonconforming domain
Preconditioners for nonconforming domain decomposition methods
โœ Josรฉ Alberto Rodrigues ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 240 KB

In this article we brie y discuss two preconditioner techniques, the Neumann-Neumann-preconditioner and the Dirichlet-Neumann-preconditioner, for nonconforming domain decomposition methods. We will show with some examples that the numerical results obtained with nonconforming multidomain techniques

Mixed preconditioners for harmonic balan
Mixed preconditioners for harmonic balance Jacobians
โœ Mikko Honkala; Ville Karanko ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 122 KB

Preconditioning is crucial for the convergence of GMRES iteration in the Harmonic Balance analysis of RF and microwave circuits. In this article, mixed frequency/timedomain preconditioners for harmonic balance Jacobians are presented. The efficiency of mixed preconditioners is demonstrated with real

Preconditioners for non-Hermitian Toepli
Preconditioners for non-Hermitian Toeplitz systems
โœ Raymond H. Chan; Daniel Potts; Gabriele Steidl ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 131 KB

In this paper, we construct new !-circulant preconditioners for non-Hermitian Toeplitz systems, where we allow the generating function of the sequence of Toeplitz matrices to have zeros on the unit circle. We prove that the eigenvalues of the preconditioned normal equation are clustered at 1 and tha