14 citations · 45 across the 26 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.NA2022★ 2 cited
Continuous Interior Penalty stabilization for divergence-free finite element methods
Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres +1
In this paper we propose, analyze, and test numerically a pressure-robust stabilized finite element for a linearized problem in incompressible fluid mechanics, namely, the steady O…
math.NA2022★ 6 cited
Finite element methods respecting the discrete maximum principle for convection-diffusion equations
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Convection-diffusion-reaction equations model the conservation of scalar quantities. From the analytic point of view, solution of these equations satisfy under certain conditions m…