Isogeometric analysis for singularly perturbed problems in 1-D: error estimates. ETNA - Electronic Transactions on Numerical Analysis
| Autor: | Xenophontos, Christos, Sykopetritou, Irene |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
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| Popis: | We consider one-dimensional singularly perturbed boundary value problems of reaction-convection-diffusion type, and the approximation of their solution using isogeometric analysis. In particular, we use a Galerkin formulation with B-splines as basis functions, defined on appropriately chosen knot vectors. We prove robust exponential convergence in the energy norm, independently of the singular perturbation parameters, and illustrate our findings through a numerical example. |
| Databáze: | OpenAIRE |
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