Reliability in computational mechanics : proceedings of the Workshop on Reliability in Computational Mechanics, Lakeway, Austin, Texas, U.S.A., 26-28 October 1989

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書誌事項

Reliability in computational mechanics : proceedings of the Workshop on Reliability in Computational Mechanics, Lakeway, Austin, Texas, U.S.A., 26-28 October 1989

edited by J. Tinsley Oden

North-Holland , Elsevier Science Publishers, c1990

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Much of what engineers and scientists do is modeling natural phenomena, by developing mathematical models of nature they can study and predict the behaviour of physical systems. The remarkable advances in technology over the last half century attest to the success of this approach. However, there has been growing concern about the issue of reliability in computational modeling in recent years. The success of computational modeling in certain classes of linear problems may have lulled many into a false sense of confidence in computed results. The papers in this volume discuss topics such as: Exactly how reliable are contemporary computational modeling procedures? How can this reliability be assessed? What factors affect it? How can reliability be improved? What direction must future research in computational modeling take to increase reliability of the more sophisticated models needed to simulate phenomena of importance in engineering? The work covers the application of existing methods to issues of reliability as well as studies of new methods that touch upon or depend upon the reliability of computational techniques in mechanics.

目次

On the use of hierarchical models in engineering analysis (K.J. Bathe et al.). A discourse on the stability conditions for mixed finite element formulations (F. Brezzi, K.J. Bathe). A posteriori error estimation (R.E. Ewing). Parallel computation with adaptive methods for elliptic and hyperbolic systems (M. Benantar et al.). The three R's of engineering analysis and error estimation and adaptivity (O.C. Zienkiewicz, J.Z. Zhu). Factors affecting reliability of computer solutions with hierarchical single surface constitutive models (C.S. Desai et al.). The use of a priori estimates in engineering computations (B.A. Szabo). The problem of modeling the elastomechanics in engineering (I. Babuska). A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with applications to compressible euler and Navier-Stokes equations (J.T. Oden et al.). A priori estimates for mixed finite element methods for the wave equation (L.C. Cowsar et al.). Accuracy and adaptivity in the numerical analysis of thin-walled structures (L. Plank et al.). Framework for the reliable generation and control of analysis idealizations (M.S. Shepard et al.). Mixed finite element methods for elliptic problems (D. Arnold). Adaptive finite element methods for diffusion and convection problems (C. Johnson). A posteriori error estimates for the Stokes equations: A comparison (R. Bank, B.D. Welfert). Predictor-corrector procedures for stress and free vibration analyses of multilayered composite plates and shells (A.K. Noor et al.). Adaptive grids for coupled viscous flow and transport (K.C. Wang, G.F. Carey). Author index. Subject index.

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