Publications of Karen Willcox

Journal Publications

• Bui-Thanh, T., Willcox, K., and Ghattas, O., 'Model reduction for large-scale systems with high-dimensional parametric input space', accepted, SIAM J. Sci Comp, 2008.
  
  
• Bashir, O., Willcox, K., Ghattas, O., van Bloemen Waanders, B., and Hill, J., 'Hessian-Based Model Reduction for Large-Scale Systems with Initial Condition Inputs,' International Journal for Numerical Methods in Engineering, Vol. 73, Issue 6, pp. 844-868, 2008.
  
  
• Gugercin, S. and Willcox, K., 'Krylov Projection Framework for Fourier Model Reduction,' Automatica, Vol. 44, No. 1, pp. 209-215, 2008.
  
  
• Bui-Thanh, T., Willcox, K., Ghattas, O. & Bloemen Waanders, B., 'Goal-Oriented, Model-Constrained Optimization for Reduction of Large-Scale Systems', Journal of Computational Physics, Vol. 224, No. 2, pp. 880-896, June 2007.
  
  
• Astrid, P., Weiland, S., Willcox, K., and Backx, T., 'Missing Point Estimation in Models Described by Proper Orthogonal Decomposition,' accepted, IEEE Transactions on Automatic Control, 2007.
  
  
• Hovland, S., Gravdahl, J., and Willcox, K., 'Explicit Model predictive Control for Large-Scale Systems via Model Reduction,' accepted, AIAA Journal for Guidance, Control, and dynamics, 2007.
  
  
• Peoples, R. and Willcox, K., 'Value-Based Multidisciplinary Optimization for Commercial Aircraft Design and Business Risk Assessment,' Journal of Aircraft , Vol. 43, No. 4, July-August, 2006, pp. 913-921.
  
  
• My-Ha, D., Lim, K.M., Khoo, B.C. and Willcox, K., 'Real-Time Optimization Using Proper Orthogonal Decomposition: Free Surface Shape Prediction due to Underwater Bubble Dynamics,' accepted for publication, Computers and Fluids, 2006.
  
  
• Willcox, K., 'Unsteady Flow Sensing and Estimation via the Gappy Proper Orthogonal Decomposition', Computers and Fluids, Volume 35, Issue 2, February 2006, Pages 208-226.
  
  
• Willcox, K. and Megretski, A., 'Fourier Series for Accurate, Stable, Reduced-Order Models in Large-Scale Applications', SIAM Journal for Scientific Computing, Vol. 26, No. 3, 2005, pp. 944-962.
  
  
• Bui-Thanh, T., Damodaran, M. and Willcox, K., 'Aerodynamic Data Reconstruction and Inverse Design using Proper Orthogonal Decomposition', AIAA Journal, Vol. 42, No. 8, August 2004, pp. 1505-16.
  
  
• Markish, J. and Willcox, K., 'Value-based multidisciplinary techniques for commercial aircraft system design', AIAA Journal, Vol. 41, No. 9.
  
  
• Willcox, K., and Wakayama, S., 'Simultaneous optimization of a multiple-aircraft family', Journal of Aircraft, Vol. 41, No. 4.
  
  
• Willcox, K. and Peraire J., 'Balanced Model Reduction via the Proper Orthogonal Decomposition', AIAA Journal, Vol. 40, No. 11, p. 2323, 2002.
  
  
• Willcox, K., Peraire J. and White, J., 'An Arnoldi Approach for Generation of Reduced-Order Models for Turbomachinery', Computers and Fluids, Vol. 31, No. 3, pp 369-389, March 2002.
  
  
• Willcox, K., Peraire J. and Paduano, J., 'Application of Model Order Reduction to Compressor Aeroelastic Models', Journal of Engineering for Gas Turbines and Power, Vol. 124, No. 2, pp. 332-39, April 2002.
  
  
• Willcox, K. and Peraire J., 'Aeroelastic computations in the time domain using unstructured meshes,' International Journal for Numerical Methods in Engineering, Vol. 40, No. 13, July 1997.
  

Other Publications

• H Bui-Thanh, T., Willcox, K., and Ghattas, O., 'Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space,' AIAA Paper 2007-2049, presented at the 48th AIAA Structures, Structural Dynamics and Materials Conference, Waikiki, HI, April 2007.
  
  
• Hovland, S., Willcox, K., and Gravdahl, J., 'MPC for large-scale systems via model reduction and multiparametric quadratic programming,' 45th IEEE Conference on Decision and Control, San Diego, CA, December 2006.
  
  
• Robinson, T., Willcox, K., Eldred, M., and Haimes, R. 'Multifidelity Optimization for Variable-Complexity Design,' AIAA paper 2006-7114, presented at the 11th AIAA Multidisciplinary Analysis and Optimization Conference, September 2006, Portsmouth, VA.
  
  
• Robinson, T., Eldred, M., Willcox, K. and Haimes, R. ' Strategies for Multi-fidelity Optimization with Variable Dimensional Hierarchical Models,' AIAA paper 2006-1819, presented at the 1 st Multidisciplinary Design Optimization Specialist Conference, April 2006, Newport, RI.
  
  
• Willcox, K., Ghattas, O., van Bloemen Waanders, B., Bader, B., 'An Optimization Framework for Goal-Oriented, Model-Based Reduction of Large-Scale Systems', Paper presented at 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, December, 2005.
  
  
• Astrid, P., Weiland, S., Willcox, K., and Backx, T., 'Missing Point Estimation in models described by proper orthogonal decomposition', 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, December 2004.
  
  
• Lassaux, G., and Willcox, K., 'Model reduction for active control design using multiple-point Arnoldi methods', AIAA Paper 2003-0616, presented at 41st Aerospace Sciences Meeting & Exhibit, Reno, NV, January 2003.
  
  
• Bui-Thanh, T., Damodaran, M. and Willcox, K., 'Proper orthogonal decomposition extensions for parametric applications in transonic aerodynamics', AIAA Paper 2003-4213, presented at 15th Computational Fluid Dynamic Conference, Orlando, FL, June 2003.
  
  
• Willcox, K., and Megretski, A., 'Fourier series for accurate, stable, reduced-order models for linear CFD applications', AIAA Paper 2003-4235, presented at 15th Computational Fluid Dynamic Conference, Orlando, FL, June 2003.
  
  
• Deremaux, Y., Willcox, K., and Haimes, R., 'Physically-based, real-time visualization and constraint analysis in multidisciplinary design optimization', AIAA Paper 2003-3876, presented at 15th Computational Fluid Dynamic Conference, Orlando, FL, June 2003.
  
  
• Willcox, K., 'Controllability and Observability Subspaces in Computational Fluid Dynamics,' in Proceedings of the 2nd International Conference on Computational Fluid Dynamics, Sydney, Australia, July 2002.
  
  
• Markish, J. and Willcox, K., 'A Value-Based Approach for Commercial Aircraft Conceptual Design', in Proceedings of the ICAS2002 Congress, Toronto, September 2002.
  
  
• Markish, J. and Willcox, K., 'Multidisciplinary Techniques for Commercial Aircraft System Design', AIAA Paper 2002-5612, presented at the 9th AIAA Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, September 2002.
  
  
• Willcox, K. and Peraire J., 'Application of Reduced-Order Aerodynamic Modeling to the Analysis of Structural Uncertainty in Bladed Disks', ASME Paper GT-30680, presented at the ASME International Gas Turbine and Aeroengine Technical Conference, Amsterdam, June 2002.
  
  
• Willcox, K., 'Reduced-Order Aerodynamic Models for Aeroelastic Control of Turbomachines'. PhD Thesis, Department of Aeronautics and Astronautics, M.I.T., 2000.
  
  

Presentations

• Willcox, K., 'Model Reduction for Large-Scale Systems', Plenary Lecture, SIAM Conference on Computational Science and Engineering, Costa Mesa, CA, February 2007.

Research : People : Publications : Seminars