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math.NA2018★ 2 cited
The case of Neumann, Robin and periodic lateral condition for the semi infinite generalized Graetz problem and applications
Valention Debarnot, Jérôme Fehrenbach, Frédéric de Gournay +1
The Graetz problem is a convection-diffusion equation in a pipe invariant along a direction. The contribution of the present work is to propose a mathematical analysis of the Neuma…
math.NA2013★ 2 cited
Sparse Non-Negative Stencils for Anisotropic Diffusion
Jérôme Fehrenbach, Jean-Marie Mirebeau
We introduce a new discretization scheme for Anisotropic Diffusion, AD-LBR, on two and three dimensional cartesian grids. The main features of this scheme is that it is non-negativ…