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Estimation of elastic parameters in beams and certain plates:H 1 regularization

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Abstract

The estimation of elastic parameters in beams and certain types of plates is discussed using anH 1-regularization technique that easily accommodates pointwise constraints. The optimal coefficient is shown to enjoy more regularity than that assumed in the formulation of the problem. This additional smoothness is useful for analyzing the limit behavior of finite-dimensional problems. Numerical results are presented.

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Authors and Affiliations

  1. Department of Mathematics, University of Oklahoma, Norman, Oklahoma

    L. W. White (Professor)

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  1. L. W. White
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Communicated by L. D. Berkovitz

This work was supported in part by the Air Force Office of Scientific Research, Grant AFOSR-84-0271.

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White, L.W. Estimation of elastic parameters in beams and certain plates:H 1 regularization. J Optim Theory Appl 60, 305–326 (1989). https://doi.org/10.1007/BF00940010

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