Friday, March 26
MS25
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
MMD, 11/20/98