Adaptivity and variational stabilization for convection-diffusion equations∗

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A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form (2015, methodology): “To see this, note that for ˜ v h ∈ ˜ V h , and ˆ u h Writing the above ˆ y h as y h in the case that ˜ V h = V , in (Cohen et al. , 2012, Lemma 3.3) it was shown that if ˜ V h is chosen to be sufﬁciently large so that for some δ < 2, (cid:107) y h − ˆ y h (cid:107) V (cid:54) δ (cid:107) ˆ y h…”
Greedy algorithms for high-dimensional non-symmetric linear problems (2012, methodology): “The idea is based on the article [7] by Cohen, Dahmen and Welper, where the objective was to develop stable formulations of multiscale convection-diffusion equations.”