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http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/4009| Title: | Reliable Real-Time Solution of Parametrized Elliptic Partial Differential Equations: Application to Elasticity |
| Keywords: | reduced-basis a posteriori error estimation output bounds elliptic partial differential equations distributed simulations real-time computing |
| Issue Date: | 9-Oct-2013 |
| Description: | The optimization, control, and characterization of engineering components or systems require fast, repeated, and accurate evaluation of a partial-differential-equation-induced input-output relationship. We present a technique for the rapid and reliable prediction of linear-functional outputs of elliptic partial differential equations with affine parameter dependence. The method has three components: (i) rapidly convergent reduced{basis approximations; (ii) a posteriori error estimation; and (iii) off-line/on-line computational procedures. These components -- integrated within a special network architecture -- render partial differential equation solutions truly "useful": essentially real{time as regards operation count; "blackbox" as regards reliability; and directly relevant as regards the (limited) input-output data required. Singapore-MIT Alliance (SMA) |
| URI: | http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
| Other Identifiers: | http://hdl.handle.net/1721.1/4009 |
| Appears in Collections: | MIT Items |
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