ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We illustrate how some interesting new variational principles can be
used for the numerical approximation of solutions to certain (possibly
degenerate) parabolic partial differential equations. One remarkable
feature of the algorithms presented here is that derivatives do not
enter into the variational principles, so, for example, discontinuous
approximations may be used for approximating the heat equation. We
present formulae for computing a Wasserstein metric which enters
into the...