๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Domain decomposition in boundary layers for singularly perturbed problems

โœ Scribed by Igor Boglaev

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
170 KB
Volume
34
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper deals with iterative algorithms for domain decomposition applied for solving singularly perturbed elliptic and parabolic problems. These algorithms are based on finite difference domain decomposition methods and are suitable for parallel computation. Domain decomposition inside boundary layers is considered and convergence properties of the algorithms are established. Numerical experiments are presented.

๐Ÿ“œ SIMILAR VOLUMES

Solutions with boundary-layers and spike
Solutions with boundary-layers and spike-layers to singularly perturbed quasilinear Dirichlet problems
โœ Zongming Guo ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 369 KB

The structure of nontrivial nonnegative solutions to singularly perturbed quasilinear Dirichlet problems of the form It is shown that there are many nontrivial nonnegative solutions with spike-layers. Moreover, the measure of each spike-layer is estimated as โ†’ 0 + . These results are applied to the

On a domain decomposition algorithm for
On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem
โœ Igor Boglaev ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 942 KB

This paper deals with an iterative algorithm for domain decomposition applied to the solution of a singularly perturbed reaction--diffusion problem. This algorithm is based on finite difference domain decomposition approach and suitable for parallel computing. Convergence properties of the algorithm