Events Calendar

AME Department Seminar

Speaker: Prof. Houman Owhadi, Professor of Applied and Computational Mathematics and Control and Dynamical Systems. California Institute of Technology. Pasadena, CA

Talk Title: Homogenization of Wave Equations Non-Separated Scales, High Contrast and Localized Bases

Abstract: We show how to construct localized elliptic cell problems for the homogenization of wave equations with non-separated scales, high-contrast and arbitrary deterministic coefficients. Randomness, scale separation, mixing or "epsilon-sequences" are not required because the proposed method solely relies on the compactness of the solution space. The support of cell problems can be localized to arbitrarily small subsets of the whole domain and explicit approximation error estimates are obtained as a function of the size of those subsets. We show how this work extends to elastodynamics and atomistic to continuum upscaling. Various parts of this talk are joint work with L. Zhang, L. Berlyand, M. Desbrun, M. Federov, M. Desbrun, L. Kharevych and P. Mullen.

Biography: Houman Owhadi received his B.S., Ecole Polytechnique (France), 1994; M.S., Ecole Nationale des Ponts et Chaussees, 1997; Ph.D., Ecole Polytechnique Federale de Lausanne (Switzerland), 2001. He moved to Caltech as Assistant Professor from 2004-11, becoming Professor in 2011. His work focuses on the modeling and analysis of systems characterized by multiple scales, geometric structures, noise and uncertainties. At the center of his work are fundamental problems such as non-separated scales, anomalous diffusion, the geometric integration of multi-scale stochastic mechanical systems and the optimal quantification of uncertainties in presence of limited information.

Host: Prof. E. Kanso

More Info: http://ame-www.usc.edu/seminars/index.shtml#upcoming

Location: Seaver Science Library (SSL) - 150

Audiences: Everyone Is Invited

Contact: April Mundy

Event Link: http://ame-www.usc.edu/seminars/index.shtml#upcoming