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SUMMARY:Denis Matignon (ISAE-SUPAERO\, Toulouse)
DTSTART:20240306T150000Z
DTEND:20240306T160000Z
DTSTAMP:20260513T222316Z
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 (pH Seminar)\n\n\nAbstract\nBoundary controlled and observed
  wave and heat PDEs can be recast as port-Hamiltonian systems on an n-D do
 main\, starting from physical principles and allowing for a power balance 
 which proves most useful when interconnecting such subsystems.\n\nA mixed 
 finite element method ensures the preservation of these properties at the 
 discrete level: this will be introduced with a primer on the finite elemen
 t method (FEM)\; then\, some optimal convergence results will be provided 
 and illustrated on the 2D inhomogeneous and anisotropic wave equation.\n\n
 Finally\, the effectiveness of PFEM will finally be illustrated when captu
 ring refined asymptotic behaviours of the coupled heat-wave PDE system in 
 different geometric configurations.\n\nJoint work partly with Ghislain Hai
 ne.\n
LOCATION:https://researchseminars.org/talk/PHSeminar/2/
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