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SUMMARY:A-priori and a-posteriori higher order estimates in time for the a
 rbitrary lagrangian euerian formulation in moving domains
DTSTART:20110525T161500
DTSTAMP:20260513T020011Z
UID:b9f548c3c0e734c650aa68bc0bc2d9cecd0d11c5d82ada143ac8b0bb
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Andrea Bonito\nArbitrary Lagrangian Eulerian (ALE) formu
 lations arise naturally in the context of parametric representations of de
 formable domains. As an illustration\, we first provide numerical simulati
 ons of red blood cell with emphasize on the need for ALE formulations\, hi
 gher order methods\, and a-posteriori error control in time.\nThen\, we pr
 esent a discontinuous Galerkin methods in time for advectiondidiffusion pr
 oblems on moving domains. This approach leads to unconditionally stable nu
 merical schemes with optimal a-priori and a-posteriori error estimates. We
  also discuss the critical role of integration in time and give a sufficie
 nt condition for preserving the stability and the accuracy of the numerica
 l schemes. The latter is a generalization of the Geometric Conservation La
 w.\nThis is joint work with I. Kyza and R.H. Nochetto.
LOCATION:MA A110
STATUS:CONFIRMED
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