Bending of Elastic Plates: Generalized Fourier Series Method

C. Constanda () and D. Doty ()
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C. Constanda: The University of Tulsa, Department of Mathematics
D. Doty: The University of Tulsa, Department of Mathematics

Chapter Chapter 7 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 71-81 from Springer

Abstract: Abstract A convenient way to approximate the solutions of boundary value problems for this mathematical model is to expand them in a complete set of functions that are intrinsically tied to the structure of the appropriate layer potentials. Computation based on such expansions, however, is hampered by the fact that the Gram–Schmidt process used to orthonormalize the set is numerically unstable. This paper aims to indicate a procedure that circumvents this obstacle and leads to good numerical results to within a prescribed accuracy. The technique is illustrated in application to the interior Dirichlet problem.

Date: 2017
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DOI: 10.1007/978-3-319-59384-5_7

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