Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

Journal of Mathematical Analysis and Applications

Volumn 261, Issue 2, 2001, Pages 604-632

  Linß, Torsten ^a   Stynes, Martin ^b  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Asymptotic expansion; Convection diffusion; Shishkin decomposition; Singular perturbation

Indexed keywords

EID: 0035885630     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7550     Document Type: Article

References (16)

1. Second-order linear parabolic equations with a small parameter
2. A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes
3. 2Δu + ru = f(x, y) in a square
4. Analysis of some difference approximations for a singular perturbation problem without turning points
5. Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
6. An upwind difference scheme on a novel Shishkin-type mesh for a linear 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. "Solution of Singularly Perturbed Problems with ε-uniform Numerical Methods-Introduction to the Theory of Linear Problems in One and Two Dimensions"
10. Numerical solution of convection-diffusion problems
11. The midpoint upwind scheme
12. Analysis of the streamline-diffusion finite element method on a Shishkin mesh for a convection-diffusion problem with exponential layers
13. Regular degeneration and boundary layer for linear differential equations with small parameter multiplying the highest derivatives
14. Differentiability properties of solutions of boundary value problems for the Laplace and Poisson equations on a rectangle