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Information × Registration Number 0217U001827, 0111U007951 , R & D reports Title The development of computer research methods for studying the mathematical models of physical fields popup.stage_title Head Tuluchenko Galina Yakivna, Доктор технічних наук Registration Date 03-07-2017 Organization Kherson national technical university popup.description2 The use of the finite element method (FEM) basis, which consisting of a harmonic functions, can significantly improve the accuracy of solutions for the boundary problems of elliptic type. But harmonic are basis functions only of the Serendipity bilinear finite elements (SFE). First the library of a harmonic basis for these elements were added by the bases, which built in the form of the infinite series, obtained from the solution of the Dirichlet problem using the Fourier method. Practical testing of these bases not only confirmed their positive qualities, but also revealed some shortcomings. Thus, in particular when using the partial sums of a trigonometric series greatly increases the run time of calculations according to FEM, compared with using conventional polynomial bases for the FE of the same order. So important is the construction and study of the properties of the basic functions for SFE which found using these methods for the approximate solution of the Dirichlet problem, which lead to the solutions with polynomial structure. Product Description popup.authors popup.nrat_date 2020-04-02 Close