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 ...

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 ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...