| タイトル | Control of the errors of discretization and idealization in finite element analysis |
| 本文（外部サイト） | http://hdl.handle.net/2060/19890020427 |
| 著者（英） | Szabo, Barna A. |
| 著者所属（英） | Washington Univ. |
| 発行日 | 1989-02-01 |
| 言語 | eng |
| 内容記述 | Understanding of the basic principles which control errors of discretization in finite element analysis has increased very substantially since 1980. The main milestones were: (1) development of the theoretical basis of p-extensions (1981); (2) understanding of the proper interplay between mesh design and assignment of polynomial degree to elements. Practical realization of exponential convergence rates, independently of the smoothness of the exact solution (1984); and (3) industrial experience with the new finite element technology known as the p- or hp-version of the finite element method: General Dynamics reported thirty- to forty-fold savings in terms of human time and large savings in computer time (1986). Lockheed reported favorably on their evaluation of error estimation and quality control capabilities of the p-version in industrial settings (1987). The gains in our understanding of how to control the errors of discretization represent only half of the control necessary to ensure that a numerical model is in fact an accurate representation of the corresponding physical system. Control of the errors of idealization is equally important. A brief overview of the main ideas of how to ensure the quality and reliability of mathematical models of structural systems is presented. |
| NASA分類 | STRUCTURAL MECHANICS |
| レポートNO | 89N29798 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/140579 |
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