| dc.creator |
Prud'homme, C. |
|
| dc.creator |
Rovas, D.V. |
|
| dc.creator |
Veroy, K. |
|
| dc.creator |
Machiels, L. |
|
| dc.creator |
Maday, Y. |
|
| dc.creator |
Patera, Anthony T. |
|
| dc.creator |
Turinici, G. |
|
| dc.date |
2003-12-23T02:47:54Z |
|
| dc.date |
2003-12-23T02:47:54Z |
|
| dc.date |
2002-01 |
|
| dc.date.accessioned |
2013-10-09T02:33:44Z |
|
| dc.date.available |
2013-10-09T02:33:44Z |
|
| dc.date.issued |
2013-10-09 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/4008 |
|
| dc.identifier.uri |
http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
|
| dc.description |
We present a technique for the rapid and reliable prediction of linear-functional outputs of elliptic (and parabolic) partial differential equations with affine parameter dependence. The essential components are (i) (provably) rapidly convergent global reduced-basis approximations -- Galerkin projection onto a space WN spanned by solutions of the governing partial differential equation at N selected points in parameter space; (ii) a posteriori error estimation -- relaxations of the error-residual equation that provide inexpensive yet sharp and rigorous bounds for the error in the outputs of interest; and (iii) off-line/on-line computational procedures -- methods which decouple the generation and projection stages of the approximation process. The operation count for the on-line stage -- in which, given a new parameter value, we calculate the output of interest and associated error bound -- depends only on N (typically very small) and the parametric complexity of the problem; the method is thus ideally suited for the repeated and rapid evaluations required in the context of parameter estimation, design, optimization, and real-time control. |
|
| dc.description |
Singapore-MIT Alliance (SMA) |
|
| dc.format |
554202 bytes |
|
| dc.format |
application/pdf |
|
| dc.language |
en_US |
|
| dc.relation |
High Performance Computation for Engineered Systems (HPCES); |
|
| dc.subject |
reduced-basis |
|
| dc.subject |
a posteriori error estimation |
|
| dc.subject |
output bounds |
|
| dc.subject |
partial differential equations |
|
| dc.title |
Reduced-Basis Output Bound Methods for Parametrized Partial Differential Equations |
|
| dc.type |
Article |
|