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SUMMARY:Numerical convergence rate for the diffusive limit of the p-system
with damping
DTSTART;VALUE=DATE-TIME:20160615T150500Z
DTEND;VALUE=DATE-TIME:20160615T154000Z
DTSTAMP;VALUE=DATE-TIME:20200716T174823Z
UID:indico-contribution-2967@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hélène Mathis (Laboratoire de Mathématiques Jean
Leray)\nWe are interested in the study of the diffusive limit of the $p$-s
ystem with damping and its approximation by an Asymptotic Preserving (AP)
Finite Volume scheme. Provided the system is endowed with an entropy-entro
py flux pair\, we give the convergence rate of classical solutions of the
p-system with damping towards the smooth solutions of the porous media equ
ation using a relative entropy method. Adopting a semi-discrete scheme\, w
e establish that the convergence rate is preserved by the approximated sol
utions. Several numerical experiments illustrate the relevance of this res
ult.\n\nhttps://indico.math.cnrs.fr/event/939/contributions/2967/
LOCATION: Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/939/contributions/2967/
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