We consider a singularly perturbed elliptic problem with two small independent parameters and its discretization by a finite element method using piecewise bilinear elements on a layer-adapted mesh. We analyze superconvergence property of the method as well as a postprocessing technique which yields more accurate discrete solution. Numerical tests confirm our theoretical results.
Bibliographical noteFunding Information:
This work was supported by the Ministry of Science and Technological Development of the Republic of Serbia under grant 144006.
- Finite element method
- Layer-adapted mesh
- Singularly perturbed problems
- Two small parameters