Local exponentially fitted finite element schemes for singularly perturbed convection-diffusion problems

Journal of Computational and Applied Mathematics

Volumn 132, Issue 2, 2001, Pages 277-293

  Jiang, Lishang ^a   Yue, Xingye ^b  

^a TONGJI UNIVERSITY   (China)

^b SUZHOU UNIVERSITY   (China)

Author keywords

Finite element method; Local exponentially fitted; Singularly perturbed

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFUSION; ERROR ANALYSIS; FINITE ELEMENT METHOD; HEAT CONVECTION; PERTURBATION TECHNIQUES;

SINGULAR PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

FINITE ELEMENT METHOD;

EID: 0035879335     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00329-0     Document Type: Article

References (13)

1. Numerical method for boundary layers with blowing - The exponential box scheme
2. An analysis of a uniformly convergence finite difference/finite element scheme for a model singular-perturbation problem
3. Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite difference approximations
4. Error bounds for exponentially fitted Galerkin methods to stiff boundary value problems
5. A difference scheme for a differential equation with a small parameter affecting the highest derivative
6. Analysis of some difference approximations for a singularly perturbed problem without turning points
7. A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions
8. Grid approximation of singularly perturbed boundary value problems with convective terms
9. A finite element method for a singularly perturbed boundary value problem
10. Uniformly convergent different difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
11. An analysis of a singularly perturbed two-point boundary problem using only finite element techniques