Numerical records on Shishkin method for linear convection-diffusion problems

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 28, 2001, Pages 3527-3542

  Linß, Torsten ^a   Stynes, Martin ^b  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Convection diffusion; Finite different schemes; Finite element methods; Shishkin mesh; Singular perturbation

Indexed keywords

BOUNDARY LAYERS; COMPUTATIONAL GEOMETRY; DIFFUSION; HEAT CONVECTION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

PERTURBED CONVECTION-DIFFUSION METHOD;

MECHANICS;

DIFFUSION-CONVECTION THEORY; FINITE DIFFERENCE TECHNIQUE; FINITE ELEMENT METHOD; MATHEMATICAL METHOD;

EID: 17744363262     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00271-1     Document Type: Article

References (21)

1. Streamline upwind Petrov-Galerkin methods for advection dominated flow
2. A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes
3. A multidimensional upwind scheme with no crosswind diffusion
4. Crosswind smear and pointwise errors in streamline diffusion finite element methods
5. Uniform superconvergence of a Galerkin finite element method on Shishkin-type meshes
6. Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
7. A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems
8. The SDFEM on Shishkin meshes for linear convection-diffusion problems
9. Pointwise error estimates for a streamline diffusion finite element scheme
10. Uniform in ε-convergence of defect-correction method for convection-diffusion problems
11. A comparison of the finite element method on Shishkin and Gartland-type meshes for convection-diffusion problems
12. Numerical methods for singularly perturbed differential equations
13. A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
14. A finite difference analysis of a streamline diffusion method on a Shishkin mesh