Derivation, stability, and error analysis in both discrete H 1 - and L 2 -norms for cell-centered finite volume approximations of convection-diffusion problems are presented. Various upwind strategies ...

XIANG WANG, WEIZHANG HUANG, YONGHAI LI, CONDITIONING OF THE FINITE VOLUME ELEMENT METHOD FOR DIFFUSION PROBLEMS WITH GENERAL SIMPLICIAL MESHES, Mathematics of Computation, Vol. 88, No. 320 (NOVEMBER ...