| Collaborative Research: Model Reduction for Probabilistic Analysis and Design Under Uncertainty |
13 Feb 2012 |
14 pages |
| Authors:
Matthias Heinkenschloss; Danny C Sorensen; Karen Willcox; RICE UNIV HOUSTON TX
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 | Effective computational tools to support decision-making under uncertainty are becoming essential in the design and operation of aerospace systems. The accurate and efficient propagation of uncertainties in parameters through complex, high fidelity computational models is a significant challenge. Since analytical characterizations of uncertainties in the system outputs are typically not available, numerical methods must be used that require repeated evaluations of models at suitably sampled parameters. Model reduction is a ... |
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| Collaborative Research: Model Reduction For Probabilistic Analysis And Design Under Uncertainty |
13 Feb 2012 |
14 pages |
| Authors:
Karen E Willcox; Matthias Heinkenschloss; Danny C Sorensen; MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF AERONAUTICS AND ASTRONAUTICS
|
| Effective computational tools to support decision-making under uncertainty are becoming essential in the design and operation of aerospace systems. The accurate and efficient propagation of uncertainties in parameters through complex, high fidelity computational models is a significant challenge. Since analytical characterizations of uncertainties in the system outputs are typically not available, numerical methods must be used that require repeated evaluations of models at suitably sampled parameters. Model reduction is a ... |
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| An Optimization Framework Based on Domain Decomposition and Model Reduction |
27-Feb-2009 |
21 pages |
| Authors:
Matthias Heinkenschloss; Danny C Sorensen; RICE UNIV HOUSTON TX DEPT OF COMPUTATIONAL AND APPLIED MATHEMATICS
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| This collaborative research has developed rigorous mathematical and computational frameworks for reduced order model (ROM) generation and the use of ROMs in real-time, design, control, and probabilistic applications of relevance to the Air Force. This research has provided theoretical analyses and numerical studies for several new/extensions of existing ROM approaches, such as goal-oriented, model-constrained approach, balanced truncation model reduction (BTMR) of descriptor systems, and the integration of domain decomposition and ... |
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| Collaboration Research: An Optimization Framework based on Domain Decomposition and Model Reduction |
Feb 2009 |
|
| Authors:
Karen Wilcox; Matthias Heinkenschloss; Danny C Sorensen; MASSACHUSETTS INST OF TECH CAMBRIDGE
|
 | This collaborative research has developed rigorous mathematical and computational frameworks for ROM generation and the use of ROMs in real-time, design, control, and probabilistic applications of relevance to the Air Force. This research has provided theoretical analyses and numerical studies for several new/extensions of existing ROM approaches, such as a goal-oriented, model-constrained approach, balanced truncation model reduction (BTMR) of descriptor systems, and the integration, of domain decomposition and BTMR for ... |
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| Airfoil Design by an All-At-Once Method |
05 NOV 1997 |
35 pages |
| Authors:
Ajit Shenoy; Matthias Heinkenschloss; Eugene M. Cliff; VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG INTERDISCIPLINARY CENTER FOR APPLIED MATHEMATICS
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| The all-at-once approach is implemented to solve an optimum airfoil design problem. The airfoil design problem is formulated as a constrained optimization problem in which flow variables and design variables are viewed as independent and the coupling steady state Euler equation is included as a constraint, along with geometry and other constraints. In this formulation, the optimizer computes a sequence of points which tend toward feasiblility and optimality at the ... |
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