SIAM Journal on Numerical Analysis, Vol. 39, No. 6 (2002), pp. 1865-1888 (24 pages) We present a general error estimation framework for a finite volume element (FVE ...

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 ...

In this paper, some effective cascadic multigrid methods are proposed for solving the large scale symmetric or nonsymmetric algebraic systems arising from the finite volume methods for second order ...