Mathematics

New Numerical Analysis Research Has Been Reported by Investigators at Texas A&M University

  2012 APR 17 - (VerticalNews.com) -- "In this paper, we present the analysis of recently introduced multiscale finite element methods that employ limited global information. In particular, these methods use single-phase flow information for the construction of more accurate solution for two-phase immiscible flow dynamics in heterogeneous porous mocha," investigators in College Station, Texas report.

  "We consider the analysis of Galerkin multiscale finite element method as well as mixed multiscale finite element method. Our analysis assumes that the fine-scale features of two-phase flow dynamics strongly depend on single-phase flow. Under this assumption, we present the analysis of multiscale finite element methods that use single-phase flow information," wrote L.J. Jiang and colleagues, Texas A&M University.

  The researchers concluded: "Numerical results are presented which demonstrate that MsFEM using limited global information is more accurate and converges as the coarse mesh size decreases."

  Jiang and colleagues published their study in International Journal of Numerical Analysis and Modeling (Some Multiscale Results Using Limited Global Information For Two-phase Flow Simulations. International Journal of Numerical Analysis and Modeling, 2012;9(1):115-131).

  For additional information, contact L.J. Jiang, Texas A&M University, Dept. of Math, College Stn, TX 77840, United States.

  The publisher of the International Journal of Numerical Analysis and Modeling can be contacted at: Isci-Inst Scientific Computing & Information, PO Box 60632, Univ Alberta Postal Outlet, Edmonton, Alberta T6G 2G1, Canada.

  Keywords: City:College Station, State:Texas, Country:United States, Region:North and Central America, Mathematics

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2012, VerticalNews Mathematics via VerticalNews.com.