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SUMMARY:Denis Matignon (ISAE-SUPAERO\, Toulouse)
DTSTART:20240306T150000Z
DTEND:20240306T160000Z
DTSTAMP:20260423T041033Z
UID:PHSeminar/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHSeminar/2/
 ">The partitioned finite element method for port-Hamiltonian systems: a st
 ructure-preserving discretization for boundary controlled wave and heat PD
 Es</a>\nby Denis Matignon (ISAE-SUPAERO\, Toulouse) as part of Port-Hamilt
 onian Seminar\n\n\nAbstract\nBoundary controlled and observed wave and hea
 t PDEs can be recast as port-Hamiltonian systems on an n-D domain\, starti
 ng from physical principles and allowing for a power balance which proves 
 most useful when interconnecting such subsystems.\n\nA mixed finite elemen
 t method ensures the preservation of these properties at the discrete leve
 l: this will be introduced with a primer on the finite element method (FEM
 )\; then\, some optimal convergence results will be provided and illustrat
 ed on the 2D inhomogeneous and anisotropic wave equation.\n\nFinally\, the
  effectiveness of PFEM will finally be illustrated when capturing refined 
 asymptotic behaviours of the coupled heat-wave PDE system in different geo
 metric configurations.\n\nJoint work partly with Ghislain Haine.\n
LOCATION:https://researchseminars.org/talk/PHSeminar/2/
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