153 citations · 547 across the 29 of their papers we have counts for
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cs.CE2021★ 2 cited
Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law
Stefan Wittschieber, Leszek Demkowicz, Marek Behr
Logarithmic conformation reformulations for viscoelastic constitutive laws have alleviated the high Weissenberg number problem, and the exploration of highly elastic flows became p…
math.NA2021★ 10 cited
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
Yu Leng, Xiaochuan Tian, Leszek Demkowicz +2
We present a Petrov-Gelerkin (PG) method for a class of nonlocal convection-dominated diffusion problems. There are two main ingredients in our approach. First, we define the norm…