Modeling error and adaptivity in nonlinear continuum mechanics
| Autor: | J. Tinsley Oden, Serge Prudhomme, Daniel C. Hammerand, Mieczysław Kuczma |
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| Rok vydání: | 2001 |
| Předmět: |
Continuum mechanics
Mathematical model Mechanical Engineering Numerical analysis Computational Mechanics General Physics and Astronomy Geodetic datum Residual Finite element method Computer Science Applications Nonlinear system Mechanics of Materials Bounded function Algorithm Computer Science::Databases Mathematics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 190:6663-6684 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/s0045-7825(01)00256-0 |
| Popis: | In this paper, computable global bounds on errors due to the use of various mathematical models of physical phenomena are derived. The procedure involves identifying a so-called fine model among a class of models of certain events and then using that model as a datum with respect to which coarser models can be compared. The error inherent in a coarse model, compared to the fine datum, can be bounded by residual functionals unambiguously defined by solutions of the coarse model. Whenever there exist hierarchical classes of models in which levels of sophistication of various coarse models can be defined, an adaptive modeling strategy can be implemented to control modeling error. In the present work, the class of models is within those embodied in nonlinear continuum mechanics. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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