A nonsymmetric discontinuous Galerkin FEM with interior penalties has been applied to one-dimensional singularly perturbed problem with a constant negative shift. Using higher order polynomials on Shishkin-type layer-adapted meshes, a robust convergence has been proved in the corresponding energy norm. Numerical experiments support theoretical findings.
Bibliographical noteFunding Information:
The author is grateful to the anonymous referee for the helpful comments and suggestions. This research is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under grant 174030 .
- Discontinuous Galerkin finite element method
- Layer-adapted mesh
- Singularly perturbed delay differential equation