When: March 8, 2017, 12:30 PM
Location: 3rd Floor Orchard View Room , Discovery Building
Contact: 608-316-4401, firstname.lastname@example.org
Optimization in PDE computation
Often in times in practice, the partial differential equations people encounter present multi-scale structure that are numerically hard to capture, or have more dimensions than one could afford to solve. When those happen, the traditional numerical PDE methods, including finite difference, finite element or spectral types of method always fail to behave to its optimal. On the other hand, the advancements took place over the years in optimization and compress sensing provide alternative means to handle data. In this talk, we give three examples on utilizing optimization techniques for PDE computation: 1. low energy + sparsity decomposition for hyperbolic equations; 2. dealing with high dimensional randomness in the media for elliptic equations; 3. coupling radiative transport equation (high dimensional problem) with heat equation (one dimensional problem).
SILO is a lecture series with speakers from the UW faculty, graduate students or invited researchers that discuss mathematical related topics. The seminars are organized by WID’s Optimization research group and sponsored by generous support of the Advance Technology Group of the 3M Company and the Analytics Group of Northwestern Mutual.
SILO’s purpose is to provide a forum that helps connect and recruit mathematically-minded graduate students. SILO is a lunch-and-listen format, where speakers present interesting math topics while the audience eats lunch.