Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales

We consider a coupled system of two singularly perturbed reaction-diffusion equations in one dimension. Associated with the two singular perturbation parameters 0 < epsilon less than or equal to mu less than or equal to 1 are boundary layers of length scales O( epsilon ) and O( mu ). We propose a...

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Veröffentlicht in:	IMA journal of numerical analysis 2013-04, Vol.33 (2), p.609-628
Hauptverfasser:	Melenk, J. M., Xenophontos, C., Oberbroeckling, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Boundaries Convergence Finite element method Mathematical analysis Mathematical models Numerical analysis Singular perturbation
Online-Zugang:	Volltext
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