Isogeometric analysis for singularly perturbed problems in 1-D: error estimates

Autor:	Xenophontos, Christos, Sykopetritou, Irene
Přispěvatelé:	Xenophontos, Christos [0000-0003-0862-3977]
Jazyk:	němčina
Rok vydání:	2020
Předmět:	Singular perturbation Norm (mathematics) Applied mathematics Basis function Isogeometric analysis Boundary value problem Type (model theory) Galerkin method Analysis Mathematics Knot (mathematics)
Zdroj:	Electronic Transactions in Numerical Analysis
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. 1 25
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f64c9e38a8619fe34c2544f090d2cb58 http://gnosis.library.ucy.ac.cy/handle/7/62873 Zobrazit plný text záznamu