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SUMMARY:Model Order Reduction in the Multi-Scale Materials Setting - Karen
  Veroy-Grepl (Technische Universiteit Eindhoven)
DTSTART:20230426T080000Z
DTEND:20230426T090000Z
UID:TALK198421@talks.cam.ac.uk
DESCRIPTION:Two-scale simulations are often employed to analyze the effect
  of the microstructure on a component&rsquo\;s macroscopic properties. Und
 erstanding these structure&ndash\;property relations is essential in the o
 ptimal design of materials\, or to enable (for example) estimation of micr
 ostructure parameters through macroscale measurements. However\, these two
 -scale simulations are typically computationally expensive and infeasible 
 in multi-query contexts such as optimization and&nbsp\;inverse problems. T
 o make such analyses amenable\, the microscopic simulations can be replace
 d by inexpensive\, parametric&nbsp\;surrogate models.&nbsp\;In this talk\,
  we (1) present some recent work on&nbsp\;a non-intrusive reduced basis me
 thod to construct inexpensive surrogates for parametrized microscale probl
 ems\, and (2) highlight difficulties for model order reduction presented b
 y highly nonlinear constitutive relations in multi-scale problems in mecha
 nics.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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