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In the present work we introduce a new family of cell-centered Finite
Volume schemes for anisotropic and heterogeneous diffusion operators
inspired by the MPFA L method.
A very general framework for the convergence study of finite volume
methods is provided and then used to establish the convergence of the
new method.
Fairly general meshes are covered and a computable sufficient
criterion for coercivity is provided.
In order to guarantee consistency in the presence of heterogeneous
diffusivity,...
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