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SUMMARY:An Adjoint Method for the Nonlinear Boltzmann Equation - Russel E.
  Caflisch (New York University)
DTSTART:20220524T080000Z
DTEND:20220524T090000Z
UID:TALK173423@talks.cam.ac.uk
DESCRIPTION:We present an adjoint method for the spatially homogeneous\, n
 onlinear Boltzmann equation\, based on the "discretize then optimize" appr
 oach. The discretization (in time and velocity) is the DSMC method\, and a
 djoint equations are derived from an augmented Lagrangian. After a forward
  (in time) solution of DSMC\, the adjoint variables are found by a backwar
 ds solution. The adjoint variable is equal to a velocity derivative of an 
 objective function. Numerical tests show that this gives accurate velocity
  derivatives and can be used in optimization for solutions of the Boltzman
 n equation. This is joint work with Yunan Yang and Denis Silantyev.
LOCATION:Seminar Room 1\, Newton Institute
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