电邮这篇文章 Solving the Pure Neumann Problem by a Finite Element Method
- 作者: Ivanov M.1, Kremer I.1,2, Urev M.1,2
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隶属关系:
- Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
- Novosibirsk State University
- 期: 卷 12, 编号 4 (2019)
- 页面: 359-371
- 栏目: Article
- URL: https://journals.rcsi.science/1995-4239/article/view/198608
- DOI: https://doi.org/10.1134/S1995423919040049
- ID: 198608
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详细
This paper deals with the solution of the pure Neumann problem for the diffusion equation by a finite element method. First, an extended generalized formulation of the Neumann problem in the Sobolev space H1(Ω) is derived and investigated. Then a discrete analog of this problem is formulated by using standard finite element approximations of the space H1(Ω). An iterative method for solving the corresponding SLAE is proposed. Some examples of solving model problems are used to discuss the numerical properties of the algorithm proposed.
作者简介
M. Ivanov
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
编辑信件的主要联系方式.
Email: ivanov@sscc.ru
俄罗斯联邦, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090
I. Kremer
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch; Novosibirsk State University
编辑信件的主要联系方式.
Email: kremer@sscc.ru
俄罗斯联邦, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
M. Urev
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch; Novosibirsk State University
编辑信件的主要联系方式.
Email: mih.urev2010@yandex.ru
俄罗斯联邦, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
