BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:5677@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230404T110000
DTEND;TZID=Europe/Paris:20230404T120000
DTSTAMP:20241120T200144Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-15/
SUMMARY: André Harnist (Inria Paris): Robust a posteriori estimates of ene
 rgy differences for nonlinear elliptic problems
DESCRIPTION: André Harnist: In this talk\, we present a posteriori estimat
 es for finite element approximations of nonlinear elliptic problems satisf
 ying strong-monotonicity and Lipschitz-continuity properties. These estima
 tes include\, and build on\, any iterative linearization method that satis
 fies a few clearly identified assumptions\; this includes the Picard\, New
 ton\, and Zarantonello linearizations. The estimates give a guaranteed upp
 er bound on an augmented energy difference reliability with constant one\,
  as well as a lower bound efficiency up to a generic constant. We prove th
 at for the Zarantonello linearization\, this generic constant only depends
  on the space dimension\, the mesh shape regularity\, and possibly the app
 roximation polynomial degree in four or more space dimensions\, making the
  estimates robust with respect to the strength of the nonlinearity. For th
 e other linearizations\, there is only a local and computable dependence o
 n the nonlinearity. Numerical experiments illustrate and validate the theo
 retical results\, for both smooth and singular solutions.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
 0
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:DAYLIGHT
DTSTART:20230326T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR