A mixed finite volume element method for accurate computation of fluid velocities in porous media
A mixed finite volume element method for accurate computation of fluid velocities in porous media
Mixed Covolume Methods for Elliptic Problems on Triangular Grids
SIAM Journal on Numerical Analysis
A general mixed covolume framework for constructing conservative schemes for elliptic problems
Mathematics of Computation
Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems
SIAM Journal on Scientific Computing
Mixed Covolume Methods on Rectangular Grids For Elliptic Problems
SIAM Journal on Numerical Analysis
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
SIAM Journal on Numerical Analysis
Mixed Covolume Methods for Quasi-Linear Second-Order Elliptic Problems
SIAM Journal on Numerical Analysis
| Hi-index | 7.29 |
In this paper, we consider the superconvergence of a mixed covolume method on the quasi-uniform triangular grids for the variable coefficient-matrix Poisson equations. The superconvergence estimates between the solution of the mixed covolume method and that of the mixed finite element method have been obtained. With these superconvergence estimates, we establish the superconvergence estimates and the L^~-error estimates for the mixed covolume method for the elliptic problems. Based on the superconvergence of the mixed covolume method, under the condition that the triangulation is uniform, we construct a post-processing method for the approximate velocity which improves the order of approximation of the approximate velocity.