Calendar Details

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Thursday, December 13

Automating and Stabilizing the Discrete Empirical
Interpolation Method for Nonlinear Model Reduction

Russell Carden, Rice University, Houston, Texas
Computer Science and Mathematics Division Seminar
10:00 AM — 11:00 AM, Joint Institute for Computational Sciences (Building 5100), Auditorium (Room 128)
Contact: Clayton Webster (webstercg@ornl.gov), 865.574.3649

Abstract

The Discrete Empirical Interpolation Method (DEIM) is a technique for model reduction ofnonlinear dynamical systems. It is based upon a modification to proper orthogonal decomposition, which is designed to reduce the computational complexity for evaluating the reduced order nonlinear term. The DEIM approach is based upon an interpolatory projection and only requires evaluation of a few selected components of the original nonlinear term. Thus, implementation of the reduced order nonlinear term requires a new code to be derived from the original code for evaluating the nonlinearity. Dr. Carden will describe a methodology for automatically deriving a code for the reduced order nonlinearity directly from the original nonlinear code. Although DEIM has been effective on some very difficult problems, it can under certain conditions introduce instabilities in the reduced model. Dr. Carden will present a problem that has proved helpful in developing a method for stabilizing DEIM reduced models.

If you would like to meet with Russell Carden, please contact Billy Fields at fieldsbd@ornl.gov or Chris Baker at bakercg@ornl.gov.