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PRODID:-//Event Calendar 2.0//iCal4j 2.0//EN
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VERSION:2.0
BEGIN:VEVENT
DTSTAMP:20260212T220752Z
DTSTART:20260203T171500
DTEND:20260203T190000
SUMMARY:Dr. Enrico Zampa: A structure preserving finite element scheme for the incompressible GPR model
TZID:Europe/Berlin
UID:event-1767689065121@events.goettingen-campus.de
LOCATION:Institut für Numerische und Angewandte Mathematik - MN55
CONTACT:Nadine Kapusniak\, n.kapusniak@math.uni-goettingen.de\, 0551 39 24195
CATEGORIES:research
DESCRIPTION:The Godunov–Peshkov–Romenski (GPR) model provides a unified continuum-mechanics framework for the description of both solids and fluids. In this presentation\, I introduce a novel finite element discretization for the incompressible GPR model that preserves the underlying geometric structure of the equations. The proposed method is pressure-robust and conserves the curl of the distortion field in the solid regime. Time discretization is achieved through a splitting strategy combined with the average vector field method\, yielding exact energy preservation or dissipation at the discrete level. I further discuss possible upwind and stabilization techniques and analyze their interaction with the structure-preserving properties of the scheme. While many ideas can be adapted from incompressible magnetohydrodynamics\, which exhibits a closely related mathematical structure\, the incompressible GPR model introduces additional challenges\, such as the non-quadratic nature of its energy functional. The presentation concludes with numerical experiments conducted using the open-source finite element library NGSolve. This is a joint work with Michael Dumbser (University of Trento).\n\nTitle: NAMColloquium: A structure preserving finite element scheme for the incompressible GPR model\nSpeaker: Dr. Enrico Zampa\nOrganizer: Institut für Numerische und Angewandte Mathematik\, Fakultät für Mathematik und Informatik\nHost: Dr. Igor Voulis\nContact: Nadine Kapusniak\, n.kapusniak@math.uni-goettingen.de\, 0551 39 24195\n
URL:https://events.goettingen-campus.de/event?eventId=1767689065121
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