Bibliographic Details
| Title: |
ADAPTIVE DEFECT-CORRECTION METHODS FOR VISCOUS INCOMPRESSIBLE FLOW PROBLEMS. |
| Authors: |
Ervint, V. J.1 ervin@math.clemson.edu, Laytont, W. J.2 wj1+@pitt.edu, Maubacht, J. M.2 wj1+@pitt.edu |
| Source: |
SIAM Journal on Numerical Analysis. 2000, Vol. 37 Issue 4, p1165-1185. 21p. |
| Subjects: |
Defect correction methods (Numerical analysis), Numerical analysis, Approximation theory, Reynolds number, Viscous flow, Error analysis in mathematics |
| Abstract: |
We consider a defect correction method (DCM) which has been used extensively in applications where solutions have sharp transition regions, such as high Reynolds number fluid flow problems. A reliable a posteriori error estimator is derived for a defect correction method. The estimator is further studied for two examples: (a) the case of a linear-diffusion, nonlinear convection-reaction equation, and (b) the nonlinear Navier-Stokes equations. Numerical experiments are provided which illustrate the utility of the resulting adaptive defect correction method for high Reynolds number, incompressible, viscous flow problems. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
