Saturation Assumption and Finite Element Method for a One-Dimensional Model

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De Rossi, Alessandra (2002) Saturation Assumption and Finite Element Method for a One-Dimensional Model. RGMIA research report collection, 5 (2).

Abstract

In this paper we refer to the hierarchical finite element method and stabilization techniques for convection–diffusion equations. In particular, the aim is to outline an application of saturation assumption to a posteriori error estimates for such problems. We consider here a simple one–dimensional model; the inequality is proved from an analitical point of view for the stabilized finite element solutions in two cases: artificial diffusion and SUPG stabilization techniques.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17718
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords hierarchical methods, convection–diffusion equations, approximation methods for differential equations, applications of mathematical inequalities.
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