Proceedings of Workshop on Reliability in Computational Mechanics Held in Austin, Texas on October 26-28, 1989 PDF Download

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Languages : en
Pages : 536

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Book Description
Much of what engineers and scientists do is to model natural phenomena. They develop mathematical models of nature so as to study and predict the behavior of physical systems. The remarkable advances in technology over the last half century attest to the success of this approach. Mathematical models do indeed work. Their use represents a proven approach toward scientific discovery and engineering analyses and design, and one can safely predict that the confidence in results of mathematical modeling will grow as further proof and experience accumulates as to their utility and their reliability. Indeed, it is this latter quality, reliability, that emerges as the key to further progress in computational mechanics. There has been growing concern about the issue of reliability in computational modeling in recent years. The papers presented at the Workshop fell into four broad categories: (1) Mathematical modeling; (2) A priori analysis, including principles of convergence, robustness and their reliability; (3) A posteriori analysis, including adaptive methods; and (4) Computer aspects of modeling such as mesh generation, solid modeling and their reliability. In addition, papers on parallel computing, applications to practical problems, selection of benchmark problems for code verification, and related issues were discussed. The majority of the paper focused on finite element methods and their applications, but a number of papers also dealt with boundary element methods, finite difference methods, and spectral methods as well.