Numerical solution of the axisymmetric dirichlet-neumann problem for laplace's equation (algorithms without saturation) Full article
| Source | Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov Monography, Springer Nature. Cham, Switzerland.2020. 398 c. ISBN 9783030388690. Scopus РИНЦ |
||
|---|---|---|---|
| Output data | Year: 2020, Pages: 13-20 Pages count : 8 DOI: 10.1007/978-3-030-38870-6_3 | ||
| Authors |
|
||
| Affiliations |
|
Abstract:
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.
Cite:
Belykh V.N.
Numerical solution of the axisymmetric dirichlet-neumann problem for laplace's equation (algorithms without saturation)
Monography chapter 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)
Monography chapter 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
Identifiers:
| Scopus: | 2-s2.0-85114658824 |
| OpenAlex: | W3014715431 |