scholarly journals COUPLING PROJECTION DOMAIN DECOMPOSITION METHOD AND MESHLESS COLLOCATION METHOD USING RADIAL BASIS FUNCTIONS IN ELECTROMAGNETICS

2008 ◽  
Vol 5 ◽  
pp. 1-12 ◽  
Author(s):  
Yong Duan ◽  
Sheng-Jian Lai ◽  
Tingzhu Huang
Keyword(s):  
Domain Decomposition ◽  
Collocation Method ◽  
Radial Basis Functions ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Basis Functions ◽  
Radial Basis ◽  
Meshless Collocation ◽  
Projection Domain

Node adaptive domain decomposition method by radial basis functions

2009 ◽  
Vol 25 (6) ◽  
pp. 1482-1501 ◽  
Author(s):  
Pedro González-Casanova ◽  
José Antonio Muñoz-Gómez ◽  
Gustavo Rodríguez-Gómez
Keyword(s):  
Domain Decomposition ◽  
Radial Basis Functions ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Basis Functions ◽  
Radial Basis

PROJECTION DOMAIN DECOMPOSITION METHOD

1994 ◽  
Vol 04 (06) ◽  
pp. 773-794 ◽  
Author(s):  
V.I. AGOSHKOV ◽  
E. OVTCHINNIKOV
Keyword(s):  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Basis Functions ◽  
Galerkin Projection ◽  
Discrete Problem ◽  
The Matrix ◽  
Special Basis ◽  
Projection Approach ◽  
Projection Domain

A domain decomposition method using the projection approach is considered. The original elliptic problem is transformed to a set of analogous problems in subdomains and an abstract equation on the interface between subdomains, the latter being solved using Galerkin projection method with some special basis functions defined on the interface. The condition number of the matrix of the resulting discrete problem is shown to be independent of both the number of basis functions and the coefficients of the original problem. Problems in subdomains can be solved independently with different solvers.

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