For more information about this meeting, contact Victor Nistor.
| Title: | The fast sweeping method for Hamilton-Jacobi Equations |
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| Seminar: | CCMA Luncheon Seminar |
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| Speaker: | Hongkai Zhao, UC Irvine |
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| Abstract: |
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| Hamilton-Jacobi equation (HJE) is a class of nonlinear hyperbolic partial
differential equation which is widely used in optimal control, geometric
optics, geophysics, classical mechanics, image processing, etc. Classical
solutions for HJE do not exit in general and appropriate weak solution, the
viscosity solution, has to be defined. I will present an efficient iterative
method, the fast sweeping method, for convex Hamilton-Jacobi equation on both
structured and unstructured meshes. The key idea is to utilize the hyperbolic
nature of the PDE and the control interpretation of the viscosity solution.
The method combines upwind scheme with Gauss-Seidel iterations with proper
ordering and causality enforcement to achieve optimal complexity. We will
analyze its convergence mechanism, which is very different from that for
iterative method for elliptic problems. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 03 / 16 / 2012 |
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| Time: | 12:20pm - 01:30pm |
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