Abstract
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.
Original language | English (US) |
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Pages (from-to) | 195-204 |
Number of pages | 10 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 194 |
Issue number | 2-5 SPEC. ISS. |
DOIs | |
State | Published - Feb 4 2005 |
Keywords
- Adaptive modeling
- Modeling error estimation
- Stochastic partial differential equations
ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics