The authors formulated in  a multipoint flux mixed finite element method that reduces to a cell-centered pressure system on general quadrilaterals and hexahedra for elliptic equations arising in subsurface flow problems. In addition they showed that a special quadrature rule yields O(h) convergence for face fluxes on distorted hexahedra. Here a first order local velocity postprocessing procedure using these face fluxes is developed and analyzed. The algorithm involves solving a 3 x 3 system on each element and utilizes an enhanced mixed finite element space introduced by Falk, Gatto, and Monk . Computational results verifying the theory are demonstrated.
|Original language||English (US)|
|Number of pages||21|
|Journal||International Journal of Numerical Analysis and Modeling|
|State||Published - 2012|
ASJC Scopus subject areas
- Numerical Analysis