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4 papers
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows
Thomas Gallouët, Andrea Natale, Gabriele Todeschi
We introduce a time discretization for Wasserstein gradient flows based on the classical Backward Differentiation Formula of order two. The main building block of the scheme is the…
Uniform -regularity for almost-minimizers of some nonlocal perturbations of the perimeter
Michael Goldman, Benoît Merlet, Marc Pegon
In this paper, we establish a -regularity theorem for almost-minimizers of the functional , where and $P_{\vare…
Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex
T. Chaumont-Frelet, M. Vohralik
We analyze constrained and unconstrained minimization problems on patches of tetrahedra sharing a common vertex with discontinuous piecewise polynomial data of degree p. We show th…
Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system
Maxime Herda, Antoine Zurek
In this paper we analyse a finite volume scheme for a nonlocal version of the Shigesada-Kawazaki-Teramoto (SKT) cross-diffusion system. We prove the existence of solutions to the s…