Isogeometric analysis for singularly perturbed high-order, two-point boundary value problems of reaction–diffusion type

We consider two-point, reaction–diffusion type, singularly perturbed boundary value problems of order 2ν∈Z+, and the approximation of their solution using isogeometric analysis. In particular, we use a Galerkin formulation with B-splines as basis functions, defined using appropriately chosen knot ve...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2020-12, Vol.80 (11), p.2340-2350
1. Verfasser:	Xenophontos, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	B spline functions Basis functions Boundary layers Boundary value problems Isogeometric analysis Reaction–diffusion Robust exponential convergence Robustness (mathematics) Singular perturbation Singularly perturbed problem
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