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A modified Bakhvalov mesh |
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| Affiliation: | 1. Institute of Numerical Mathematics, Technical University of Dresden, Germany;2. Department for Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21000 Novi Sad, Serbia |
| Abstract: | We consider a few numerical methods for solving a one-dimensional convection–diffusion singularly perturbed problem. More precisely, we introduce a modified Bakvalov mesh generated using some implicitly defined functions. Properties of this mesh and convergence results for several methods on it are given. Numerical results are presented in support of the theoretical considerations. |
| Keywords: | Singular perturbation Boundary value problem Layer-adapted meshes Finite difference method Finite element method |
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