Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 198, Issue 3-4, Pages 475-494Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2008.08.016
Keywords
Time-dependent convection-diffusion-reaction equations; Finite element methods; Small diffusion parameter; Spurious oscillations
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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. (c) 2008 Elsevier B.V. All rights reserved.
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