On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part I – A review

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Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (2012, background): “other choices exist, which might give improved stabilization (John and Knobloch, 2007); for example Tezduyar and Park (1986) use a length based on the size of the element in the direction of a.”
A robust SUPG norm a posteriori error estimator for stationary convection-diffusion equations (2013, methodology): “In the numerical studies presented below, the same choice of this parameter as in [17] was used”
On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part II – Analysis for P1 and Q1 finite elements (2008, background): “This paper is a continuation of [26], in the following cited as Part I, which was devoted to a review and a comparison of finite element techniques developed to diminish spurious oscillations in discrete solutions of convectiondominated problems.”
Simulations of Population Balance Systems with One Internal Coordinate using Finite Element Methods (2009, methodology): “For instance, schemes presented in John and Knobloch (2007, 2008) will be extended to time-dependent problems.”