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research article

Reliability of computational science

Babuska, I.
•
Nobile, F.  
•
Tempone, R.
2007
Numerical Methods For Partial Differential Equations

Today's computers allow us to simulate large, complex physical problems. Many times the mathematical models describing such problems are based on a relatively small amount of available information such as experimental measurements. The question arises whether the computed data could be used as the basis for decision in critical engineering, economic, and medicine applications. The representative list of engineering accidents occurred in the past years and their reasons illustrate the question. The paper describes a general framework for verification and validation (V&V) which deals with this question. The framework is then applied to an illustrative engineering problem, in which the basis for decision is a specific quantity of interest, namely the probability that the quantity does not exceed a given value. The V&V framework is applied and explained in detail. The result of the analysis is the computation of the failure probability as well as a quantification of the confidence in the computation, depending on the amount of available experimental data. (c) 2007 Wiley Periodicals, Inc.

  • Details
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Type
research article
DOI
10.1002/num.20263
Author(s)
Babuska, I.
Nobile, F.  
Tempone, R.
Date Issued

2007

Publisher

Wiley-Blackwell

Published in
Numerical Methods For Partial Differential Equations
Volume

23

Issue

4

Start page

753

End page

784

Subjects

model validation

•

uncertainty quantification

•

Bayesian update

•

failure probability

•

Partial-Differential-Equations

•

Validation

•

Verification

Editorial or Peer reviewed

NON-REVIEWED

Written at

OTHER

EPFL units
CSQI  
Available on Infoscience
April 23, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/79565
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