A defect-correction method based on equal-order finite elements for the incompressible flows (I)

2011 ◽  
Author(s):  
Yanmei Qin ◽  
Deqiang Zeng ◽  
Kaiteng Wu
Keyword(s):  
Finite Elements ◽  
Incompressible Flows ◽  
Correction Method ◽  
Defect Correction

THE PARAMETER-ROBUST NUMERICAL METHOD BASED ON DEFECT-CORRECTION TECHNIQUE FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH LAYER BEHAVIOR

2010 ◽  
Vol 07 (04) ◽  
pp. 573-594 ◽  
Author(s):  
JUGAL MOHAPATRA ◽  
SRINIVASAN NATESAN
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Perturbation Parameter ◽  
Correction Method ◽  
Singularly Perturbed ◽  
Defect Correction ◽  
Central Difference ◽  
Correction Technique ◽  
Delay Differential

In this article, we consider a defect-correction method based on finite difference scheme for solving a singularly perturbed delay differential equation. We solve the equation using upwind finite difference scheme on piecewise-uniform Shishkin mesh, then apply the defect-correction technique that combines the stability of the upwind scheme and the higher-order central difference scheme. The method is shown to be convergent uniformly in the perturbation parameter and almost second-order convergence measured in the discrete maximum norm is obtained. Numerical results are presented, which are in agreement with the theoretical findings.

Further analysis of the local defect correction method

Computing ◽  
1996 ◽  
Vol 56 (2) ◽  
pp. 117-139 ◽  
Author(s):  
P. J. J. Ferket ◽  
A. A. Reusken
Keyword(s):  
Correction Method ◽  
Local Defect ◽  
Defect Correction

Convergence analysis of the local defect correction method for diffusion equations

2003 ◽  
Vol 95 (3) ◽  
pp. 401-425 ◽  
Author(s):  
M.J.H. Anthonissen ◽  
R.M.M. Mattheij ◽  
J.H.M. ten Thije Boonkkamp
Keyword(s):  
Convergence Analysis ◽  
Correction Method ◽  
Diffusion Equations ◽  
Local Defect ◽  
Defect Correction
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