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Numerical Methods in the Geosciences

IMA Minisymposium

March 13-15, 2002

Minneapolis, MN, USA

Mathematics

Host: Institute for Mathematics and its Applications
Homepage: http://www.ima.umn.edu/geoscience/winter/g7.html
Email: staff@ima.umn.edu

Organizers: J.M. Hyman, Mary F. Wheeler

Description:
The workshop will focus on recent developments in numerical methods for the efficient and accurate simulation of multiscale transport problems in porous media. Although considerable research in flow modeling is application driven, all facets of these complex simulations are of interest, including discretizations, grid generation, adaptivity, efficient solvers, interface tracking methods, and numerical subgrid upscaling techniques. Of particular interest is the relationship and interaction of these key components of the solution process in real applications.

AREAS OF INTEREST INCLUDE:

Discretization Methods

- discontinuous coefficients

- distorted structured grids

- unstructured grids

- mixed FEM/mimetic FV/SOM

- (Multilevel) numerical upscaling/homogenization

- multiscale Finite Elements

Grids

- grid generation

- grid alignment

- adaptive mesh refinement (AMR)

- interface tracking

Sensitivity, Verification and Validation

- sensitivity analysis

Efficient Simulation

- Newton-Krylov methods for nonlinear discrete systems

- Multilevel preconditioning of Newton-Krylov methods

- Multilevel/Multigrid methods

Date received: January 31, 2001


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