Finite Volume Methods (FVM) have become a cornerstone in the numerical treatment of partial differential equations, particularly those governing cross-diffusion and parabolic processes. These ...

Finite volume methods (FVM) have emerged as a crucial numerical framework for approximating diffusion equations in porous media. These schemes discretise the governing partial differential equations ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 4 (2016), pp. 2228-2255 (28 pages) We consider the vertex-centered finite volume method with first-order conforming ansatz functions. The adaptive mesh ...

This is a preview. Log in through your library . Abstract We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was ...