Hermitian splines as basis functions of the finite-element method for plotting stress trajectories

Author: Marchuk M.   Khomyak M.  

Publisher: Springer Publishing Company

ISSN: 1072-3374

Source: Journal of Mathematical Sciences, Vol.168, Iss.5, 2010-08, pp. : 673-687

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Abstract

We propose a finite-element approach with the use of Hermitian splines for reducing the problem of plotting of stress trajectories for finding two potential functions that satisfy conditions of interpolation of first derivatives at nodes of a regular mesh. The efficiency of this approach is demonstrated on test problems, and features of computational relations are determined.