Friday, March 26

High-Quality Discretizations of Diffusion Processes in Heterogeneous, Anisotropic Media - Part I of II

10:30 AM-12:30 PM
Room: Executive Salon 1

This minisymposium will be devoted to the numerical solution of partial differential equations approximated using discretization methods that preserve or mimic the fundamental properties of the continuum equations. These methods automatically reproduce many of the most important characteristics of the continuum solution, such as conservation and maximum principle. When applied to problems in heterogeneous and/or anisotropic media using flexible grids (structured, unstructured, non-matching, etc.), they lead to a deeper understanding of the behavior of the underlying physical processes.

Organizers: Mikhail J. Shashkov
Los Alamos National Laboratory
Ilya D. Mishev
Mobil E&P Technical Center
Stanly Steinberg
University of New Mexico, Albuquerque
Thomas F. Russell
Uiversity of Colorado, Denver

10:30-10:55 Three-Dimensional Control-Volume Mixed Finite Element Methods
Richard L. Naff, U. S. Geological Survey, Denver; and Thomas F. Russell, Organizer
11:00-11:25 Combining the Mixed Finite Element and the Finite Volume Methods
Raytcho D. Lazarov, Joseph E. Pasciak, Texas A&M University, College Station; and Panayot S. Vassilevski, Lawrence Livermore National Laboratory
11:30-11:55 A Class of Control Volume Discretizations for Anisotropic, Heterogeneous Media
Ivar Aavatsmark, Tor Barkve and Øistein Bøe, Norsk Hydro Research Center, Bergen, Norway; and Trond Mannseth, RF-Rogaland Research, Bergen, Norway
12:00-12:25 The Numerical Solution of Diffusion Problems in Strongly Heterogeneous Non-Isotropic Materials
James Hyman, Los Alamos National Laboratory; Mikhail J. Shashkov and Stanly Steinberg, Organizers

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MMD, 11/20/98