On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers

2007 ◽  
Vol 70 (3) ◽  
pp. 322-350 ◽  
Author(s):  
P.-A. Guidault ◽  
T. Belytschko
Keyword(s):  
Domain Decomposition ◽  
Lagrange Multipliers ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Overlapping Domain Decomposition

A Non-Overlapping Domain Decomposition Method for the Stokes Problem

2002 ◽  
Author(s):  
Attila Zsaki ◽  
Marius Paraschivoiu
Keyword(s):  
Domain Decomposition ◽  
Lagrange Multipliers ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Stokes Problem ◽  
Uzawa Algorithm ◽  
Driven Cavity ◽  
Numerical Tests ◽  
Overlapping Domain Decomposition ◽  
The Cost

A domain decomposition method for the Stokes problem using Lagrange multipliers is described. The dual system associated with the Lagrange multipliers is solved based on an iterative procedure using the two-level finite element tearing and interconnecting (FETI) method. Numerical tests are performed by solving the driven cavity problem. An analysis of the number of outer iterations and an evaluation of the cost of the inner iterations are reported. Comparison with the well-known Uzawa algorithm shows a reduction in the floating point operations count of the inner iterations while achieving the same number of outer iterations.

ADVANCED DOMAIN DECOMPOSITION METHOD BY LOCAL AND MIXED LAGRANGE MULTIPLIERS

2014 ◽  
Vol 18 (1) ◽  
pp. 17-26
Author(s):  
Junyoung Kwak ◽  
Taeyoung Chun ◽  
Haeseong Cho ◽  
Sangjoon Shin ◽  
Olivier A. Bauchau
Keyword(s):  
Domain Decomposition ◽  
Lagrange Multipliers ◽  
Decomposition Method ◽  
Domain Decomposition Method
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