Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty

J. Tinsley Oden; Ivo Babuška; Fabio Nobile; Yusheng Feng; Raul Tempone

doi:10.1016/j.cma.2003.06.003

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Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty

Journal article

Peer reviewed

Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty

J. Tinsley Oden, Ivo Babuška, Fabio Nobile, Yusheng Feng and Raul Tempone

Computer methods in applied mechanics and engineering, Vol.194(2-5), pp.195-204

04/02/2005

DOI: https://doi.org/10.1016/j.cma.2003.06.003

Abstract

Adaptive modeling

Modeling error estimation

Stochastic partial differential equations

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.

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Title: Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty
Creators - without role: J. Tinsley Oden - The University of Texas at Austin
Ivo Babuška - The University of Texas at Austin
Fabio Nobile - The University of Texas at Austin
Yusheng Feng - The University of Texas at Austin
Raul Tempone - The University of Texas at Austin
Publication Details: Computer methods in applied mechanics and engineering, Vol.194(2-5), pp.195-204
Publisher: Elsevier B.V
Identifiers: 9944768608331
Academic Unit: King Abdullah University of Science & Technology
Language: English
Resource Type: Journal article