PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Kris Jenssen, Hope Shaffer.

Title:Homogenization for a class of convex Hamilton-Jacobi equations
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Hongkai Zhao, UC Irvine
Abstract:
We propose a new formulation to compute effective Hamiltonians for homogenization of a class of Hamilton-Jacobi equations. Our formulation utilizes a special property for viscosity supersolutions of convex Hamilton-Jacobi equations. The key idea is how to link the effective Hamiltonian to a suitable effective equation. The main advantage of our formulation is that only one auxiliary equation needs to be solved in order to compute the effective Hamiltonian $\bar{H}(p)$ for all $p$. Error estimates and stability will be proved. Numerical algorithms based on fast sweeping method and numerical tests will be presented.

Room Reservation Information

Room Number:MB106
Date:03 / 16 / 2012
Time:03:35pm - 04:25pm