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DTSTART:19810329T020000
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UID:news1826@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250328T125929
DTSTART;TZID=Europe/Zurich:20250404T110000
SUMMARY:Seminar in Numerical Analysis: Théophile Chaumont-Frelet (Inria L
 ille)
DESCRIPTION:The wave equation is a basic PDE model central to a plethora of
  physical and engineering applications\, with such applications requiring 
 approximate solutions obtained by numerical schemes. In this talk\, I will
  focus on the space semi-discretization of the wave equation with a finite
  element method (and assume that time integration is exactly performed). I
 n the context of finite element methods\, a posteriori error estimates are
  a now widely established technique to rigorously control the discretizati
 on error\, and to drive adaptive processes where the finite element mesh i
 s iteratively refined. However\, although a posteriori error estimates are
  widely available for elliptic and parabolic problems\, the literature is 
 much scarcer for hyperbolic problems\, including the time-dependent wave e
 quation. In this talk\, I will discuss a new a posteriori error estimator 
 that hinges on ideas previously developed for the Helmholtz equation (the 
 time-harmonic version of the wave equation). To the best of my knowledge\,
  this new error estimator is the first to provide both an upper and a lowe
 r bound for the error measured in the same norm. I will also briefly quick
 ly discuss preliminary results concerning time discretization\, and applic
 ation to adaptive algorithms.\\r\\n\\r\\nFor further information about the
  seminar\, please visit this webpage [t3://page?uid=1115].
X-ALT-DESC:<p>The wave equation is a basic PDE model central to a plethora 
 of physical and engineering applications\, with such applications requirin
 g approximate solutions obtained by numerical schemes. In this talk\, I wi
 ll focus on the space semi-discretization of the wave equation with a fini
 te element method (and assume that time integration is exactly performed).
  In the context of finite element methods\, a posteriori error estimates a
 re a now widely established technique to rigorously control the discretiza
 tion error\, and to drive adaptive processes where the finite element mesh
  is iteratively refined. However\, although a posteriori error estimates a
 re widely available for elliptic and parabolic problems\, the literature i
 s much scarcer for hyperbolic problems\, including the time-dependent wave
  equation. In this talk\, I will discuss a new a posteriori error estimato
 r that hinges on ideas previously developed for the Helmholtz equation (th
 e time-harmonic version of the wave equation). To the best of my knowledge
 \, this new error estimator is the first to provide both an upper and a lo
 wer bound for the error measured in the same norm. I will also briefly qui
 ckly discuss preliminary results concerning time discretization\, and appl
 ication to adaptive algorithms.</p>\n\n<p>For further information about th
 e seminar\, please visit this <a href="t3://page?uid=1115" title="Opens in
 ternal link in current window">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20250404T123000
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