Solving the Pure Neumann Problem by a Finite Element Method

M. I. Ivanov; I. A. Kremer; M. V. Urev

doi:10.1134/S1995423919040049

Solving the Pure Neumann Problem by a Finite Element Method

M. I. Ivanov, I. A. Kremer, M. V. Urev

Кафедра вычислительной математики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	359-371
Число страниц	13
Журнал	Numerical Analysis and Applications
Том	12
Номер выпуска	4
DOI	https://doi.org/10.1134/S1995423919040049
Состояние	Опубликовано - 1 окт 2019

Доступ к документу

10.1134/S1995423919040049

Link to publication in Scopus

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Цитировать

Ivanov, M. I., Kremer, I. A., & Urev, M. V. (2019). Solving the Pure Neumann Problem by a Finite Element Method. Numerical Analysis and Applications, 12(4), 359-371. https://doi.org/10.1134/S1995423919040049

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