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SUMMARY:An Invitation to shape uncertainty quantification in Computational
  Electromagnetics
DTSTART:20241105T161500
DTEND:20241105T171500
DTSTAMP:20261012T081445Z
UID:708b95924b139fec06ce3ef245fb8d71c0b56fc3c2c3f19baafbf6ad
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Carlos Jerez - Universidad Adolfo Ibanez\nComputational 
 Mathematics Seminar\n\nAbstract : \nIn this talk\, we will consider solvin
 g time-harmonic electromagnetic wave scattering problems when the actual d
 omains are not fully known but can be modeled as random perturbations depa
 rting from a nominal shape. Specifically\, we will use the framework of af
 fine-parametric shape parametrizations to describe the domain uncertainty.
  This setting is shown to be a reality for multiple applications ranging f
 rom telescope design to nano-photonics. Along the way\, we will combine an
 d derive several mathematical tools\, some new and some old\, ranging from
  shape derivatives\, edge or Nédélec finite-elements and new Strang-type
  lemmas to domain-to-solutions maps\, multilevel Monte Carlo methods\, and
  multilevel sparse-grid quadratures. Fortunately\, several numerical exper
 iments will help us understand the problems at hand and confirm our error 
 convergence rates and complexity bounds. These results will show that one 
 can beat\, to a certain extent\, the dreaded curse of dimensionality while
  also opening new questions you may have the answer to!\n 
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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