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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Variational formulations for dissipative systems -
Sina Ober-BlĂ¶baum (University of Oxford)
DTSTART;TZID=Europe/London:20190904T140000
DTEND;TZID=Europe/London:20190904T150000
UID:TALK129421AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/129421
DESCRIPTION:Variational principles are powerful tools for the
modelling and simulation of conservative mechanica
l and electrical systems. As it is well-known\, th
e fulfilment of a variational principle leads to t
he Euler-Lagrange equations of motion describing t
he dynamics of such systems. Furthermore\, a varia
tional discretisation directly yields unified nume
rical schemes with powerful structure-preserving p
roperties. Since many years there have been severa
l attempts to provide a variational description al
so for dissipative mechanical systems\, a task tha
t is addressed in the talk in order to construct b
oth Lagrangian and Hamiltonian pictures of their d
ynamics. One way doing this is to use fractional
terms in the Lagrangian or Hamiltonian function wh
ich allows for a purely variational derivation of
dissipative 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 whic
h superior qualitative numerical properties such a
s the correct energy dissipation rate are \;de
monstrated.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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