Numerical solution of the axisymmetric dirichlet-neumann problem for laplace's equation (algorithms without saturation) Научная публикация
| Сборник | Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov Монография, Springer Nature. Cham, Switzerland.2020. 398 c. ISBN 9783030388690. Scopus РИНЦ |
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| Вых. Данные | Год: 2020, Страницы: 13-20 Страниц : 8 DOI: 10.1007/978-3-030-38870-6_3 | ||
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Реферат:
We construct a fundamentally new, unsaturated numerical algorithm for solving the Dirichlet-Neumann problem for Laplace's equation in smooth axisymmetric domains of a rather general shape. The distinctive feature of this algorithm is the absence of the leading error term, which, as a result, enables us to automatically adjust to arbitrary extra (extraordinary) supplies of smoothness of the sought solutions. In the case of C∞-smoothness, the solutions are constructed with exponential estimate for error. © Springer Nature Switzerland AG 2020.
Библиографическая ссылка:
Belykh V.N.
Numerical solution of the axisymmetric dirichlet-neumann problem for laplace's equation (algorithms without saturation)
Глава монографии Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. – Springer Nature., 2020. – C.13-20. – ISBN 9783030388690. DOI: 10.1007/978-3-030-38870-6_3 Scopus OpenAlex
Numerical solution of the axisymmetric dirichlet-neumann problem for laplace's equation (algorithms without saturation)
Глава монографии Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. – Springer Nature., 2020. – C.13-20. – ISBN 9783030388690. DOI: 10.1007/978-3-030-38870-6_3 Scopus OpenAlex
Идентификаторы БД:
| Scopus: | 2-s2.0-85114658824 |
| OpenAlex: | W3014715431 |