Repository: Freie Universit├Ąt Berlin, Math Department

Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion

John, V. and Schmeyer, E. (2008) Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. Computer methods in applied mechanics and engineering, 198 (3). pp. 475-494. ISSN 0045-7825

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Abstract

Numerical studies of stabilized finite element methods for solving scalar time--dependent convection--diffusion--reaction equations with small diffusion are presented in this paper. These studies include the Streamline--Upwind Petrov--Galerkin (SUPG) method with different parameters, various Spurious Oscillations at Layers Diminishing (SOLD) methods, a Local Projection Stabilization (LPS) scheme based on enrichment and two Finite Element Method Flux--Corrected--Transport (FEM--FCT) methods. The focus of the evaluation of the numerical results is on the reduction of spurious oscillations.

Item Type:Article
Uncontrolled Keywords:Small parameter method ; Projection method ; Galerkin-Petrov method ; Finite difference method ; Upwind scheme ; Reaction diffusion equation ; Convection diffusion equation ; Modelling ; Finite element method ; Stabilization ;
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:704
Deposited By: Ulrike Eickers
Deposited On:10 Aug 2009 12:57
Last Modified:23 Aug 2009 09:04

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