LOCAL VELOCITY POSTPROCESSING FOR MULTIPOINT FLUX METHODS ON GENERAL HEXAHEDRA

Mary Wheeler, Guangri Xue, Ivan Yotov

Research output: Contribution to journalArticlepeer-review

Abstract

The authors formulated in [32] 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 [18]. Computational results verifying the theory are demonstrated.
Original languageEnglish (US)
Pages (from-to)607-627
Number of pages21
JournalInternational Journal of Numerical Analysis and Modeling
Volume9
Issue number3
StatePublished - 2012
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis

Cite this