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CATEGORIES:Events
SUMMARY:USACM Large-Scale TTA Early-Career Colloquium (virtual)
DESCRIPTION:USACM Large-Scale TTA Early-Career Colloquium (virtual)High-order and reduc
ed-order methods for improved engineering analysis and designMatthew J. Zah
r\nUniversity of Notre Dame \nAbstract\n\nOptimization problems governed by
partial differential equations are ubiquitous in modern science, engineeri
ng, and mathematics. They play a central role in optimal design and control
of engineering systems, data assimilation, and inverse problems. However,
as the complexity of the underlying PDE increases, efficient and robust met
hods to compute the objective function and its gradient become paramount. T
o this end, I will present a model reduction framework to reduce the time a
nd resources required to solve optimization problems governed by PDEs. The
framework is demonstrated in the context of aerodynamic shape optimization
and structural topology optimization. In addition, I will demonstrate the r
ole of optimization in computational physics extends beyond traditional des
ign and control problems. I will introduce a novel optimization-based numer
ical method for high-order accurate approximation of PDE solutions with non
-smooth features, e.g., flows with shock waves and fracture of solid media.
I will demonstrate the method with a suite of two- and three-dimensional c
ompressible flow problems and discuss the extension to fracture. In all cas
es, discontinuities in the flow are fit to high-order accuracy with curved
mesh elements, which leads to accurate solutions on extremely coarse meshes
.\nBiography\n\nMatthew is an assistant professor in the Department of Aero
space and Mechanical Engineering at the University of Notre Dame. He receiv
ed his PhD in Computational and Mathematical Engineering from Stanford Univ
ersity in 2016 and from 2016-2018 was the Luis W. Alvarez Postdoctoral Fell
ow in the Department of Mathematics at Lawrence Berkeley National Laborator
y. His research interests include high-order methods for computational phys
ics, PDE-constrained optimization, model reduction, and numerical methods f
or resolving shocks and discontinuities. In 2020, he received the AFOSR You
ng Investigator Award. \nSponsored by USACM Technical Thrust Area on Large
Scale Structural Systems and Optimal Design.\nContact for information about
the seminar: admin@usacm.org. \nREGISTER
DTSTAMP:20211129T144119
DTSTART;TZID=America/Chicago:20211103T130000
DTEND;TZID=America/Chicago:20211103T140000
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