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highlando/spacetime-galerkin-pod-bfgs-tests: Numerical test setup for the version to be submitted for publication

highlando; Manuel Baumann

Space-Time Galerkin POD vs. SQP-POD

The code for the numerical tests of our work Baumann/Benner/Heiland: Space-Time Galerkin POD with application in optimal control of semi-linear parabolic partial differential equations as we are going to submit it to publication in May 2017.

There is an earlier version on ArXiv. The theory is the same, the numerical examples have been updated and extended.

The code features an implementation of
  • space-time-Galerkin POD for optimal control (our newly developed approach)
  • SQP-POD for optimal control (standard approach as benchmark)
  • Application example: Optimal control of Burgers' Equation
  • two target states: a step function constant in time and an indicator function of a heart shaped domain in the space-time cylinder
Changes (with respect to v1.0)
  • now all in Python
  • additional test case (heart shape)
  • concerning SQP-POD: report on the evaluation of the full costfunctional rather than the reduced

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