| dc.creator |
Oliveira, I.B. |
|
| dc.creator |
Patera, Anthony T. |
|
| dc.date |
2003-11-19T20:52:21Z |
|
| dc.date |
2003-11-19T20:52:21Z |
|
| dc.date |
2003-01 |
|
| dc.date.accessioned |
2013-10-09T02:32:07Z |
|
| dc.date.available |
2013-10-09T02:32:07Z |
|
| dc.date.issued |
2013-10-09 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/3707 |
|
| dc.identifier.uri |
http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
|
| dc.description |
The solution of a single optimization problem often requires computationally-demanding evaluations; this is especially true in optimal design of engineering components and systems described by partial differential equations. We present a technique for the rapid and reliable optimization of systems characterized by linear-functional outputs of partial differential equations with affine parameter dependence. The critical ingredients of the method are: (i) reduced-basis techniques for dimension reduction in computational requirements; (ii) an "off-line/on-line" computational decomposition for the rapid calculation of outputs of interest and respective sensitivities in the limit of many queries; (iii) a posteriori error bounds for rigorous uncertainty and feasibility control; (iv) Interior Point Methods (IPMs) for efficient solution of the optimization problem; and (v) a trust-region Sequential Quadratic Programming (SQP) interpretation of IPMs for treatment of possibly non-convex costs and constraints. |
|
| dc.description |
Singapore-MIT Alliance (SMA) |
|
| dc.format |
334725 bytes |
|
| dc.format |
application/pdf |
|
| dc.language |
en_US |
|
| dc.relation |
High Performance Computation for Engineered Systems (HPCES); |
|
| dc.subject |
parametrized partial differential equations |
|
| dc.subject |
reduced-basis |
|
| dc.subject |
computational decomposition |
|
| dc.subject |
a posteriori error bounds |
|
| dc.subject |
Interior Point Methods |
|
| dc.subject |
Sequential Quadratic Programming |
|
| dc.title |
Reliable Real-Time Optimization of Nonconvex Systems Described by Parametrized Partial Differential Equations |
|
| dc.type |
Article |
|