Construction of Multivariate Interpolation Hermite Polynomials for Finite Element Method.

Autor: Adam, Gh., Buša, J., Hnatič, M., Chuluunbaatar, Galmandakh, Gusev, Alexander A., Chuluunbaatar, Ochbadrakh, Gerdt, Vladimir P., Vinitsky, Sergue I., Derbov, Vladimir L., Góźdź, Andrzej, Krassovitskiy, Pavel M., Le Hai, Luong
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Zdroj: EPJ Web of Conferences; 1/10/2020, Vol. 226, p1-4, 4p
Abstrakt: A new algorithm for constructing multivariate interpolation Hermite polynomials in analytical form in a multidimensional hypercube is presented. These polynomials are determined from a specially constructed set of values of the polynomials themselves and their partial derivatives with continuous derivatives up to a given order on the boundaries of the finite elements. The effciency of the finite element schemes, algor thms and programs is demonstrated by solving the Helmholtz problem for a cube. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index