Adaptive mesh refinement for a finite volume method for flow and transport of radionuclides in heterogeneous porous media

B Amaziane, M Bourgeois… - Oil & Gas Science …, 2014 - ogst.ifpenergiesnouvelles.fr
In this paper, we consider adaptive numerical simulation of miscible displacement problems
in porous media, which are modeled by single phase flow equations. A vertex-centred finite …

The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type

T Zhang, S Zhang - Applications of Mathematics, 2015 - Springer
We study the superconvergence of the finite volume method for a nonlinear elliptic problem
using linear trial functions. Under the condition of C-uniform meshes, we first establish a …