357 citations · 864 across the 37 of their papers we have counts for
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math.NA2016
A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure
Francis Filbet, Maxime Herda
We propose a finite volume scheme for a class of nonlinear parabolic equations endowed with non-homogeneous Dirichlet boundary conditions and which admit relative en-tropy function…
math.NA2016
A p-adaptive local discontinuous galerkin level set method for Willmore flow
Ruihan Guo, Francis Filbet
The level set method is often used to capture interface behavior in two or three dimensions. In this paper, we present a combination of local discontinuous Galerkin (LDG) method an…
math.AP2016★ 21 cited
On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field : formal derivation
Pierre Degond, Francis Filbet
This paper establishes the long time asymptotic limit of the three dimensional Vlasov-Poisson equation with strong external magnetic field. The guiding center approximation is inve…