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Add PDE tests problems #14

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tmigot opened this issue Oct 9, 2021 · 3 comments
Open
1 of 17 tasks

Add PDE tests problems #14

tmigot opened this issue Oct 9, 2021 · 3 comments

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@tmigot
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tmigot commented Oct 9, 2021

problems with bounds from: Gratton, S., Mouffe, M., Sartenaer, A., Toint, P. L., & Tomanos, D. (2010). Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Optimization Methods & Software, 25(3), 359-386.

  • DNT
  • P2D
  • P3D
  • DEPT
  • DPJB
  • DODC
  • MINS-SB
  • MINS-OB
  • MINS DMSA
  • IGNISC
  • DSSC
  • BRATU
  • MINS-BC
  • MEMBR
  • NCCS
  • NCCO
  • MOREBV
@tmigot
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tmigot commented Oct 9, 2021

Kočvara, M., & Mohammed, S. (2016). A first-order multigrid method for bound-constrained convex optimization. Optimization Methods and Software, 31(3), 622-644.

  • Spiral problem
  • non-quadratic obstacle problem
  • minimal surface problem
  • obstacle problem with an equality constraint

@tmigot tmigot changed the title Add tests problems Add PDE tests problems Oct 9, 2021
@tmigot
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tmigot commented Oct 9, 2021

Vanderbei, R. J. (2001). Case studies in trajectory optimization: Trains, planes, and other pastimes. Optimization and Engineering, 2(2), 215-243.

  • Trains
  • Putting
  • Hang Gliding
  • Tobogganing

@tmigot
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tmigot commented Oct 9, 2021

Haber, E., & Hanson, L. (2007). Model problems in PDE-constrained optimization. Report, Emory University.

  • Ellipitc: grounwater modelling and DC resistivity applications
  • Parabolic model (time dependent)
  • Hyperbolic: Monge-Kantorovich mass transfer problem (time dependent)

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