Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...
SIAM Journal on Numerical Analysis, Vol. 48, No. 4 (2010), pp. 1281-1312 (32 pages) We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered ...