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LITERATURE

Publications owing to this NSF project

• Path-following primal-dual interior-point methods for shape optimization by H. Antil, R.H.W. Hoppe, and Chr. Linsenmann. In: Journal of Numerical Mathematics, vol. 15, issue 2, p. 81-100, 2007.
  
  
• Adaptive path-following primal-dual interior-point methods for shape optimization of linear and nonlinear Stokes flow problems by R.H.W. Hoppe, Chr. Linsenmann, and H. Antil. In: Lecture Notes in Computer Science, vol. 4818, p. 249-256, Springer, Berlin Heidelberg New York, 2008.
  
  
• Optimal design of stationary flow problems by path-following interior-point methods by H. Antil, R.H.W. Hoppe, and Chr. Linsenmann. Submitted to Control and Cybernetics, 2008.
  
  

ERF-related Papers (Hoppe et al.)

Papers concerning the Modeling of Electrorheological Fluids:

• Problems on Electrorheological Fluid Flows by R.H.W. Hoppe and W.G. Litvinov, Communications in Pure and Applied Analysis 3, 809-848, 2004.
  
  
• Problems of Stationary Flow of Electrorheological Fluids in Cylindrical Coordinate Systems by R.H.W. Hoppe, W.G. Litvinov and T. Rahman,  SIAM J.Appl.Math. 65, 1633-1665, 2005.
  
  
• Coupled Problems on Stationary Non-isothermal Flow of Electrorheological Fluids by R.H.W. Hoppe and W.G. Litvinov, Communications in Pure and Applied Analysis 4, 779-803, 2005.

Atmosperic Simulation Papers (He et al.)

• A Computationally Efficient Inorganic Atmospheric Aerosol Phase Equilibrium Model (UHAERO) by N.R. Amundson, A. Caboussat, J.W. He, A.V. Martynenko, V.B. Savarin, J.H. Seinfeld and K.Y. Yoo,   6, 4, 975-992, 2006.
  
  
• A Primal-dual Active-set Algorithm for Chemical Equilibrium Problems related to Modeling of Atmospheric Inorganic Aerosols by N.R. Amundson, A. Caboussat, J.W. He, J.H. Seinfeld and K.Y. Yoo,   J. Optimization Theory Appl., 128, 3, doi:10.1007/s10957-006-9030-y, 2006.
  
  
• A Primal-dual Interior-point Method for an Optimization Problem related to the Modeling of Atmospheric Organic Aerosols by N.R. Amundson, A. Caboussat, J.W. He and J.H. Seinfeld, J. Optimization Theory Appl., 130, 5, 2006.

Path Following Method Papers

Papers concerning Path Following Methods in Function Space:

• Interior Point Methods in Function Space  by M. Weiser, 2003.
  
  
• Function Space Interior Point Methods for PDE Constrained Optimization  by M. Weiser and A. Schiela, 2004.
  
  
• Path-Following Methods for a Class of Constrained Minimization Problems in Function Space by M. Hintermüller and K. Kunisch, 2004.
  
  
• A Control Reduced Primal Interior Point Method for PDE Constrained Optimization by M. Weiser, T. Gänzler and A. Schiela, 2004.
  
  
• Superlinear Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimization by A. Schiela and M. Weiser, 2005.

Presentations shown in the bi-weekly meetings

Download here the slides used for presentation in the meetings:

• Introduction by Dr. Hoppe to the microscopical structure, applications, mathematical formulation and solution methods for electrorheological fluids (ERF) and associated equations, respectively: Download here.
  Date of talk: Tu., January 24, 2006 at UH.
  
  
• Introduction by Dr. He to the modeling and numerical simulation of atmospheric aerosols:
  Download here.
  Date of talk: Fr., February 3, 2006 at Rice University.
  
  
• Discussion by C. Linsenmann of the paper "Superlinear Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimization" by M. Weiser and A. Schiela (see above): Download here.
  Date of talk: Fr., February 17, 2006 at UH.
  
  
• Talk by Denis Ridzal about SQP methods for the solution of large-scale constrained nonlinear optimization problems (Ph.D. thesis):  Download here.
  Date of talk: Fr., March 24, 2006 at Rice.
  
  
• Talk by Alexandre Caboussat about Dynamic Optimization in Air Quality Modeling:  Download here.
  Date of talk: Fr., March 30, 2007 at Rice.
  
  
• Talk by Sean Hardesty about Finite Elements for Elastic Shell Models in Violin Optimization:  Download here.
  Date of talk: Fr., April 13, 2007 at Rice.