Computational Design, Optimization, and Control

This theme encompasses the many computational tasks and tools required to translate “forward” analyses into real engineering answers — from feasible and optimal designs to robust performance under uncertainty to real-time control. Optimization techniques play an essential role in many of these computational tools.

 

Related Publications

Non-linear model reduction for uncertainty quantification in large-scale inverse problems
D Galbally, K Fidkowski, K Willcox, & O Ghattas. International Journal for Numerical Methods in Engineering, 81(12):1581-1608, 2010.
doi:10.1002/nme.2746

Acoustically focused adaptive sampling and on-board routing for marine rapid environmental assessment
D Wang, PFJ Lermusiaux, PJ Haley, D Eickstedt, WG Leslie, and H Schmidt. Journal of Marine Systems, 78, Supplement:S393-S407, 2009.
doi:10.1016/j.jmarsys.2009.01.037

Path planning of autonomous underwater vehicles for adaptive sampling using mixed integer linear programming
NK Yilmaz, C Evangelinos, PFJ Lermusiaux, and N Patrikalakis. IEEE Journal of Oceanic Engineering, 33(4):522-537, 2009.
doi: 10.1109/JOE.2008.2002105

Model reduction for large-scale systems with high-dimensional parametric input space
T Bui-Thanh, K Willcox, & O Ghattas. SIAM Journal on Scientific Computing, 30(6):3270-3288, 2008.
doi:10.1137/070694855

Missing point estimation in models described by proper orthogonal decomposition
P Astrid, S Weiland, K Willcox, & T Backx. IEEE Transactions Automatic Control, 53(10):2237-2251, 2008.
doi:10.1109/TAC.2008.2006102

Parametric reduced-order models for probabilistic analysis of unsteady aerodynamic applications
T Bui-Thanh, K Willcox, & O Ghattas. AIAA Journal, 46(10):2520-2529, 2008.
doi:10.2514/1.35850

Hessian-based model reduction for large-scale systems with initial-condition inputs
O Bashir, K Willcox, O Ghattas, B van Bloemen Waanders, and J Hill. International Journal for Numerical Methods in Engineering, 73(6):844-868, 2008.
doi:10.1002/nme.2100

Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations
IB Oliveira & AT Patera. Optimization and Engineering, 8(1):43-65, 2007.
doi:10.1007/s11081-007-9002-6

Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition
T Bui-Thanh, M Damodaran, & K Willcox. AIAA Journal, 42(8):1505-1516, 2004.

Balanced model reduction via the proper orthogonal decomposition
K Willcox and J Peraire. AIAA Journal, 40(11):2323-2330, 2002.