scholarly journals Stabilized Finite Element Method for Incompressible Viscous Fluid Flows Using Low-Order Mixed Interpolations.

1998 ◽  
pp. 125-137
Author(s):  
Kazuo Kashiyama ◽  
Wataru Inomata
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Viscous Fluid ◽  
Fluid Flows ◽  
Incompressible Viscous Fluid ◽  
Stabilized Finite Element ◽  
Stabilized Finite Element Method ◽  
Element Method ◽  
Low Order

Characteristic stabilized finite element method for non-stationary conduction-convection problems

2019 ◽  
Vol 30 (2) ◽  
pp. 625-658
Author(s):  
Yongshuai Wang ◽  
Md. Abdullah Al Mahbub ◽  
Haibiao Zheng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Time Derivative ◽  
Content Type ◽  
Stabilized Finite Element ◽  
Stabilized Finite Element Method ◽  
Advection Term ◽  
The Stability ◽  
Element Method ◽  
Low Order

Purpose This paper aims to propose a characteristic stabilized finite element method for non-stationary conduction-convection problems. Design/methodology/approach To avoid difficulty caused by the trilinear term, the authors use the characteristic method to deal with the time derivative term and the advection term. The space discretization adopts the low-order triples (i.e. P1-P1-P1 and P1-P0-P1 triples). As low-order triples do not satisfy inf-sup condition, the authors use the stability technique to overcome this flaw. Findings The stability and the convergence analysis shows that the method is stable and has optimal-order error estimates. Originality/value Numerical experiments confirm the theoretical analysis and illustrate that the authors’ method is highly effective and reliable, and consumes less CPU time.

Sign in / Sign up

Export Citation Format

Share Document