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SUMMARY:Moritz Hauck (Chalmers and GU)
DTSTART:20231115T121500Z
DTEND:20231115T130000Z
DTSTAMP:20260417T004554Z
UID:cam/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/12/">Gua
 ranteed lower energy bounds for the Gross-Pitaevskii problem using mixed f
 inite elements</a>\nby Moritz Hauck (Chalmers and GU) as part of CAM semin
 ar\n\nLecture held in MV:L14.\n\nAbstract\nIn this talk\, we present a low
 est order Raviart-Thomas finite element discretization that provides guara
 nteed lower bounds on the ground state energy of the nonlinear Gross-Pitae
 vskii problem. We emphasize that due to their conformity\, classical discr
 etization methods such as the $\\mathcal P^1$ or $\\mathcal Q^1$ finite el
 ement methods can only provide upper bounds on the ground state energy. Fu
 rthermore\, we establish an a priori error analysis for the Raviart-Thomas
  discretization of the Gross-Pitaevskii problem. Optimal convergence rates
  are shown for the primary and dual variables as well as for the eigenvalu
 e and energy approximations.\n
LOCATION:https://researchseminars.org/talk/cam/12/
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