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Calcolo

, 55:50 | Cite as

SDFEM for an elliptic singularly perturbed problem with two parameters

  • Lj. Teofanov
  • M. Brdar
  • S. Franz
  • H. Zarin
Article
  • 55 Downloads

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.

Keywords

Singularly perturbed problem Two small parameters Streamline-diffusion method Superconvergence Stabilization parameter 

Mathematics Subject Classification

65N12 65N15 65N30 65N50 

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Copyright information

© Istituto di Informatica e Telematica del Consiglio Nazionale delle Ricerche 2018

Authors and Affiliations

  1. 1.Department for Fundamental Disciplines, Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia
  2. 2.Faculty of TechnologyUniversity of Novi SadNovi SadSerbia
  3. 3.Institute of Scientific ComputingTechnical University of DresdenDresdenGermany
  4. 4.Department of Mathematics and Informatics, Faculty of SciencesUniversity of Novi SadNovi SadSerbia

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