Multi-element stochastic reduced basis methods
Surya Mohan, P., Nair, Prasanth B. and Keane, Andy J. (2008) Multi-element stochastic reduced basis methods. Computer Methods in Applied Mechanics and Engineering, 197, (17-18), 1495-1506. (doi:10.1016/j.cma.2007.11.021).
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Description/Abstract
This paper presents mutli-element Stochastic Reduced Basis Methods (ME-SRBMs) for solving linear stochastic partial differential equations. In ME-SRBMs, the domain of definition of the random inputs is decomposed into smaller subdomains or random elements. Stochastic Reduced Basis Methods (SRBMs) are employed in each random element to evaluated the response statistics. These elemental statistics are assimilated to compute the overall statistics. The effectiveness of the method is demonstrated by solving the stochastic steady state heat transfer equation on two geometries involving different types of boundary conditions. Numerical studies are conducted to investigate the h-convergence rates of global and local preconditioning strategies.
| Item Type: | Article |
|---|---|
| ISSNs: | 0045-7825 (print) |
| Keywords: | stochastic reduced basis methods, stochastic partial differential equations, uncertainty quantification, heat transfer, preconditioning |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) Q Science > QA Mathematics > QA76 Computer software |
| Divisions: | University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design |
| Item ID: | 50118 |
| Date Deposited: | 28 Jan 2008 |
| Last Modified: | 08 Jun 2012 12:20 |
| Contributors: | Surya Mohan, P. (Author) Nair, Prasanth B. (Author) Keane, Andy J. (Author) |
| Date: | 1 March 2008 |
| Status: | Published |
| Contact Email Address: | surya@soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/50118 |
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