On Discontinuity—Capturing Methods for Convection—Diffusion Equations

Volker John () and Petr Knobloch ()
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Volker John: Universität des Saarlandes, Fachbereich 6.1 - Mathematik
Petr Knobloch: Charles University, Faculty of Mathematics and Physics

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 336-344 from Springer

Abstract: Abstract This paper is devoted to the numerical solution of two-dimensional steady scalar convection-diffusion equations using the finite element method. If the popular streamline upwind/Petrov-Galerkin (SUPG) method is used, spurious oscillations usually arise in the discrete solution along interior and boundary layers. We review various finite element discretizations designed to diminish these oscillations and we compare them computationally.

Keywords: Galerkin Method; Discrete Solution; Spurious Oscillation; Computational Comparison; Discrete Maximum Principle (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_27

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DOI: 10.1007/978-3-540-34288-5_27

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