On discontinuous Galerkin finite element method for singularly perturbed delay differential equations |
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| Affiliation: | Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia |
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| Abstract: | 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. |
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| Keywords: | Singularly perturbed delay differential equation Discontinuous Galerkin finite element method Layer-adapted mesh |
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