Multigrid Methods for PDE Constrained Optimization

The aim of this project is to develop, analyze and implement a class of optimization algorithms that integrate multilevel iterative solvers and so-called `all-at-once' optimization methods.

This collaborative project between reseachers at the University of Houston and at Rice University is funded by the National Science Foundation.

Participants

• Jiwen He (University of Houston)
• Matthias Heinkenschloss (Rice University)
• Ronald H. W. Hoppe (University of Houston)
• Patricia Howard (Rice University)
• Christopher Linsenmann (University of Houston)

Meeting Schedule Spring 2006

• Tuesday, January 24, 03:00 - 05:00 pm, UofH, PGH 646
  R. Hoppe: Inroduction to the modeling and the simulation of electrorheological fluid devices
  
• Friday, February 3, 03:00 - 05:00 pm, Rice, DH2014
  
• Friday, February 17, 03:00 - 05:00 pm, UofH, PGH 646
  

Literature

• B. Engelmann, R. Hiptmair, R.H.W. Hoppe, G. Mazurkevitch, Numerical simulation of electrorheological fluids based on an extended Bingham model. Computing and Visualization in Science, Vol. 2, No. 4, 2000, pp. 211-219.
• R.H.W. Hoppe and W.G. Litvinov, Problems on electrorheological fluid flows. Communications in Pure and Applied Analysis, Vol. 3, 2004, pp. 809-848.
• R.H.W. Hoppe, W. G. Litvinov and T. Rahman, Problems of stationary flow of electrorheological fluids in a cylindrical coordinate system. SIAM J. Appl. Math. Vol. 65, No. 5, 2005, pp. 1633-1656.
• R.H.W. Hoppe and W.G. Litvinov, Coupled problems on stationary non-isothermal flow of electrorheological fluids Communications in Pure and Applied Analysis, Vol. 4, 2005, pp. 779-803.