For more information about this meeting, contact Hope Shaffer, Jinchao Xu, Kris Jenssen.
|Title:||Alternating evolution, flux approximation and the level set method|
|Seminar:||Computational and Applied Mathematics Colloquium|
|Speaker:||Hailiang Liu, Iowa State University|
|In this talk I shall present some recent results on computational
methods for convection-dominated problems. They include the
alternating evolution (AE) method for hyperbolic conservation laws,
the direct discontinuous Galerkin (DDG) method for diffusion as well
as the field space based level set method for computing multi-valued
solutions to the Euler-Poisson equation. For each method I shall
highlight the essential physical step --- a step in which physics is
incorporated into the method via a pre-modeling procedure. Once
physics is built in, the rest is purely of numerical nature:
standard techniques such as local enforcements and high-order
reconstructions suggested in the literature can be well applied.
Numerical experimental results are also presented.
This talk is based on several recent works joint with Haseena
Ahmed, Zhongming Wang and Jue Yan at the Iowa State University.|
Room Reservation Information
|Date:||03 / 28 / 2008|
|Time:||03:35pm - 04:25pm|