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SUMMARY:Variational formulations for dissipative systems - Sina Ober-Blöb
 aum  (University of Oxford)
DTSTART:20190904T130000Z
DTEND:20190904T140000Z
UID:TALK129421@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Variational principles are powerful tools for the modelling an
 d simulation of conservative mechanical and electrical systems. As it is w
 ell-known\, the fulfilment of a variational principle leads to the Euler-L
 agrange equations of motion describing the dynamics of such systems. Furth
 ermore\, a variational discretisation directly yields unified numerical sc
 hemes with powerful structure-preserving properties. Since many years ther
 e have been several attempts to provide a variational description also for
  dissipative mechanical systems\, a task that is addressed in the talk in 
 order to construct both Lagrangian and Hamiltonian pictures of their dynam
 ics.  One way doing this is to use fractional terms in the Lagrangian or H
 amiltonian function which allows for a purely variational derivation of di
 ssipative systems. Another approach followed in this talk is to embed the 
 non-conservative systems in larger conservative systems. These concepts ar
 e used to develop variational integrators for which superior qualitative n
 umerical properties such as the correct energy dissipation rate are&nbsp\;
 demonstrated.  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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