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UID:news1409@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20220928T143806
DTSTART;TZID=Europe/Zurich:20221202T110000
SUMMARY:Seminar in Numerical Analysis: Sébastien Imperiale (Inria — LMS\
 , Ecole Polytechnique\, CNRS — Université Paris-Saclay\, MΞDISIM)
DESCRIPTION:The objective of this work is to propose and analyze numerical 
 schemes to solve transient wave propagation problems that are exponentiall
 y stable (i.e. the solution decays to zero exponentially fast). Applicatio
 ns are in data assimilation strategies or the discretisation of absorbing 
 boundary conditions. More precisely the aim of our work is to propose a di
 scretization process that enables to preserve the exponential stability at
  the discrete level as well as a high order consistency when using a high-
 order finite element approximation. The main idea is to add to the wave eq
 uation a stabilizing term which damps the high-frequency oscillating compo
 nents of the solutions such as spurious waves. This term is built from a d
 iscrete multiplier analysis that proves the exponential stability of the s
 emi-discrete problem at any order without affecting the order of convergen
 ce.\\r\\nFor further information about the seminar\, please visit this web
 page [t3://page?uid=1115].
X-ALT-DESC:<p>The objective of this work is to propose and analyze numerica
 l schemes to solve transient wave propagation problems that are exponentia
 lly stable (i.e. the solution decays to zero exponentially fast). Applicat
 ions are in data assimilation strategies or the discretisation of absorbin
 g boundary conditions. More precisely the aim of our work is to propose a 
 discretization process that enables to preserve the exponential stability 
 at the discrete level as well as a high order consistency when using a hig
 h-order finite element approximation. The main idea is to add to the wave 
 equation a stabilizing term which damps the high-frequency oscillating com
 ponents of the solutions such as spurious waves. This term is built from a
  discrete multiplier analysis that proves the exponential stability of the
  semi-discrete problem at any order without affecting the order of converg
 ence.</p>\n<p>For further information about the seminar\, please visit thi
 s <a href="t3://page?uid=1115" title="Opens internal link in current windo
 w">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20221202T120000
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