Email this article Bicubic Hermite Elements in a Domain with the Curved Boundary
- Authors: Gileva L.1, Shaydurov V.1,2
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Affiliations:
- Institute of Computational Modeling
- Tianjin University of Finance and Economics
- Issue: Vol 39, No 7 (2018)
- Pages: 893-903
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202623
- DOI: https://doi.org/10.1134/S1995080218070119
- ID: 202623
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Abstract
A family of bicubic Hermite elements is considered which involves a rectangular element and two triangular ones including a triangular element with a curved side. The triangular elements are used in combination with the rectangular ones only near the boundary of a domain and provide interelement continuity of an approximate solution. Special attention is paid to the triangular element with a curved side since it is nonconforming in the sense of the Dirichlet boundary condition. For the Poisson equation the convergence estimate in the energy norm is proved.
About the authors
L. Gileva
Institute of Computational Modeling
Email: shaidurov04@mail.ru
Russian Federation, Akademgorodok 40/55, Krasnoyarsk, 660036
V. Shaydurov
Institute of Computational Modeling; Tianjin University of Finance and Economics
Author for correspondence.
Email: shaidurov04@mail.ru
Russian Federation, Akademgorodok 40/55, Krasnoyarsk, 660036; Zhujiang Road 25, Hexi District, Tianjin, 300222
