scholarly journals A balancing domain decomposition method by constraints for advection-diffusion problems

2008 ◽  
Vol 3 (1) ◽  
pp. 25-60 ◽  
Author(s):  
Xuemin Tu ◽  
Jing Li
Keyword(s):  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Advection Diffusion ◽  
Balancing Domain Decomposition ◽  
Diffusion Problems

ON THE ELLIPTIC-HYPERBOLIC COUPLING I: THE ADVECTION-DIFFUSION EQUATION VIA THE χ-FORMULATION

1993 ◽  
Vol 03 (02) ◽  
pp. 145-170 ◽  
Author(s):  
C. CANUTO ◽  
A. RUSSO
Keyword(s):  
Diffusion Equation ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Advection Equation ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Subdomain Method ◽  
Self Adaptive

An advection-diffusion equation is considered, for which the solution is advection-dominated in most of the domain. A domain decomposition method based on a self-adaptive, smooth coupling of the reduced advection equation and the full advection-diffusion equation is proposed. The convergence of an iteration-by-subdomain method is investigated.

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