A one-dimensional reaction-diffusion-convection problem is numerically solved by a finite element method on two layer-adapted meshes, Duran-type mesh and Duran-Shishkin-type mesh, both defined by recursive formulae. Robust error estimates in the energy norm are proved. Numerical results are given to illustrate the parameter-uniform convergence of numerical approximations.
Bibliographical noteFunding Information:
The work has been supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia , Projects 174030 and III44006 . The authors would like to thank the anonymous reviewers for their valuable comments and suggestions which improved the quality of the paper.
- Galerkin finite element method
- Graded meshes
- Singularly perturbed problem
- Two small parameters