Citation
Py. Li et Rl. Peskin, DOMAIN DECOMPOSITION FOR SINGULAR PERTURBATION PDES, Mathematics and computers in simulation, 36(4-6), 1994, pp. 443-455
Citations number
8
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
ISSN journal
03784754
Volume
36
Issue
4-6
Year of publication
1994
Pages
443 - 455
Database
ISI
SICI code
0378-4754(1994)36:4-6<443:DDFSPP>2.0.ZU;2-G
Abstract
Based on singular perturbation analysis of nonlinear PDEs, we can get
an approximate solution of the equation, constructed from a solution o
f the reduced equation associated with the given nonlinear PDE, and co
rrection terms corresponding to boundary layers and interior layers. B
y applying the above methods a set of rules to determine a stable part
ition of a domain can be built. Based on the set of rules the search f
or all possible stable partitions is implemented by a production syste
m which travels a graph of a given domain. In this paper only elliptic
equations are discussed.