For more information about this meeting, contact Victor Nistor, Jinchao Xu, Robin Enderle, Xiantao Li, Yuxi Zheng, Kris Jenssen, Hope Shaffer.
| Title: | Homogenization for a class of convex Hamilton-Jacobi equations |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Hongkai Zhao, UC Irvine |
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| Abstract: |
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| 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 |
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| Date: | 03 / 16 / 2012 |
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| Time: | 03:35pm - 04:25pm |
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