Please use this identifier to cite or link to this item: doi:10.22028/D291-26320
Title: A comparison of spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. - Part I
Author(s): John, Volker
Knobloch, Petr
Language: English
Year of Publication: 2005
Free key words: streamline upwind/Petrov-Galerkin (SUPG) method
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: An unwelcome feature of the popular streamline upwind/Petrov-Galerkin (SUPG) stabilization of convection-dominated convection-diffusion equations is the presence of spurious oscillations at layers. Since the mid of the 1980-ies, a number of methods have been proposed to remove or, at least, to diminish these oscillations without leading to excessive smearing of the layers. The paper gives a review and state of the art of these methods, discusses their derivation, proposes some alternative choices of parameters in the methods and categorizes them. Some numerical studies give a first insight into the advantages and drawbacks of the methods.
Link to this record: urn:nbn:de:bsz:291-scidok-46245
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 156
Date of registration: 29-Feb-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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