Optimal convergence of basic schemes for elliptic boundary value problems with strong parabolic layers

Journal of Mathematical Analysis and Applications

Volumn 267, Issue 1, 2002, Pages 194-208

  Roos, Hans Görg ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036501318     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7763     Document Type: Article

References (16)

1. Perturbations singulieres et prolongements maximaux d' operateurs positives
2. A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes
3. Discrete approximations for singularly perturbed boundary value problems with parabolic layers II
4. 2Δu + ru = f(x, y) in a square
5. Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers
6. An upwind difference scheme on a novel Shishkin-type meshes for a linear convection-diffusion problem
7. Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
8. Layer-adapted grids for singular perturbation problems
9. On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer
10. A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem