Codice | MOX 95 |
Titolo | Reliability of Computational Science |
Data | 2006-12-12 |
Autore/i | Babuška, Ivo; Nobile, Fabio; Tempone Raul |
Link | Download full text | Pubblicato | I. Babuska, F. Nobile and R. Tempone, Reliability of Computational Science, Num. Methods for PDEs, 2007, vol. 23/4, pp. 753--784 |
Abstract | 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,
medicine applications. The representative list of engineering accidents occurred
in the past years and their reasons illustrates the question. The
paper describes a general framework for Verification and Validation 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.
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