A parallel finite element variational multiscale method based on fully overlapping domain decomposition for incompressible flows

2014 ◽  
Vol 31 (3) ◽  
pp. 856-875 ◽  
Author(s):  
Yueqiang Shang
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Incompressible Flows ◽  
Multiscale Method ◽  
Variational Multiscale Method ◽  
Variational Multiscale ◽  
Parallel Finite Element ◽  
Overlapping Domain Decomposition

scholarly journals A Finite Element Variational Multiscale Method Based on Two Local Gauss Integrations for Stationary Conduction-Convection Problems

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Yu Jiang ◽  
Liquan Mei ◽  
Huiming Wei ◽  
Weijun Tian ◽  
Jiatai Ge
Keyword(s):  
Exact Solution ◽  
Finite Element ◽  
Numerical Test ◽  
Multiscale Method ◽  
Additional Cost ◽  
Good Precision ◽  
Variational Multiscale Method ◽  
Theory Analysis ◽  
Element Level ◽  
Variational Multiscale

A new finite element variational multiscale (VMS) method based on two local Gauss integrations is proposed and analyzed for the stationary conduction-convection problems. The valuable feature of our method is that the action of stabilization operators can be performed locally at the element level with minimal additional cost. The theory analysis shows that our method is stable and has a good precision. Finally, the numerical test agrees completely with the theoretical expectations and the “ exact solution,” which show that our method is highly efficient for the stationary conduction-convection problems.

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