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01.12.2018

SDFEM for an elliptic singularly perturbed problem with two parameters

verfasst von: Lj. Teofanov, M. Brdar, S. Franz, H. Zarin

Erschienen in: Calcolo | Ausgabe 4/2018

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Abstract

A singularly perturbed problem with two small parameters in two dimensions is investigated. Using its discretization by a streamline-diffusion finite element method with piecewise bilinear elements on a Shishkin mesh, we analyze the superconvergence property of the method and suggest the choice of stabilization parameters to attain optimal error estimate in the corresponding streamline-diffusion norm. Numerical tests confirm our theoretical results.

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Titel: SDFEM for an elliptic singularly perturbed problem with two parameters
verfasst von: Lj. Teofanov
M. Brdar
S. Franz
H. Zarin
Publikationsdatum: 01.12.2018
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 4/2018
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-018-0293-0

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SDFEM for an elliptic singularly perturbed problem with two parameters

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