TY - GEN T1 - A comparison of spurious oscillations at layers diminishing (SOLD) methods for convection-diff usion equations. - Part I A1 - John,Volker A1 - Knobloch,Petr Y1 - 2012/02/29 N2 - 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. CY - Saarbrücken PB - Universitäts- und Landesbibliothek AD - Postfach 151141, 66041 Saarbrücken UR - http://scidok.sulb.uni-saarland.de/volltexte/2012/4624 ER -