Hermitian finite element complementing the Bogner–Fox–Schmit rectangle near curvilinear boundary


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Abstract

We discuss the Hermitian finite elements of high-order accuracy for solving boundary value problems for partial differential equations in domains with curvilinear boundaries. New elements are constructed in such a way that they can be used in conjunction with the Bogner–Fox–Schmit rectangular elements.

About the authors

B. Dobronets

Siberian Federal University

Author for correspondence.
Email: BDobronets@yandex.ru
Russian Federation, Svobodnyi pr. 79, Krasnoyarsk, 660041

V. Shaydurov

Institute of Computational Modeling; Beihang University

Email: BDobronets@yandex.ru
Russian Federation, Akademgorodok 40/55, Krasnoyarsk, 660036; Xueyuan Road 37, Beijing, 100191


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