Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty
2005 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 194, no 05-feb, 195-204 p.Article in journal (Refereed) Published
The reliability of computer predictions of physical events depends on several factors: the mathematical model of the event, the numerical approximation of the model, and the random nature of data characterizing the model. This paper addresses the mathematical theories, algorithms, and results aimed at estimating and controlling modeling error, numerical approximation error, and error due to randomness in material coefficients and loads. A posteriori error estimates are derived and applications to problems in solid mechanics are presented.
Place, publisher, year, edition, pages
2005. Vol. 194, no 05-feb, 195-204 p.
modeling error estimation, stochastic partial differential equations, adaptive modeling
IdentifiersURN: urn:nbn:se:kth:diva-14440ISI: 000225893700006OAI: oai:DiVA.org:kth-14440DiVA: diva2:332481
QC 201005252010-08-052010-08-05Bibliographically approved