Abstract:
Accurate discretizations for diffusion equations with
strongly anisotropic diffusion tensor and efficient preconditioned
iterative solvers for underlying systems of algebraic equations
are among the most difficult problems in numerical analysis.
In this presentation,we shall discuss a new approach to designing
of efficient multilevel preconditioners for finite volume discretizations
of anisotropic diffusion equations in heterogeneous
layered media.The research was motivated by applications in
geosciences.Theoretical statements will be illustrated by numerical
results.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.