> Does anyone have a full reference or a link to the paper of Guermond and
> Popov mentioned in the Step-31 tutorial?

I asked the first of these gentlemen and he said that for the moment there is 
no paper that describes the method in detail -- Martin and I implemented this 
after talking to the two during our daily coffee meeting.

For the moment, the best reference is a paper on a related method where 
instead of evaluating the residual, one looks at an entropy production term. 
This can be found in the following paper:
  J.-.L. GUERMOND, R. PASQUETTI, 
  Entropy-based nonlinear viscosity for Fourier approximations of conservation
  laws, C. R. Acad. Sci., Ser. I, 346 (2008) 801—806.
A link to this paper is here:
  http://www.math.tamu.edu/~guermond/PUBLICATIONS/publication.html

Best
 Wolfgang

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Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/

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