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math.NA2019★ 1 cited
Positive asymptotic preserving approximation of the radiation transport equation
Jean-Luc Guermond, Bojan Popov, Jean Ragusa
We introduce a (linear) positive and asymptotic preserving method or solving the one-group radiation transport equation. The approximation in space is discretization agnostic: the…
math.NA2019★ 2 cited
Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
Alexandre Ern, Jean-Luc Guermond
In this paper we investigate the approximation of a diffusion model problem with contrasted diffusivity and the error analysis of various nonconforming approximation methods. The e…