Email this article An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation
- Authors: Sorokin S.B.1,2
-
Affiliations:
- Novosibirsk State University
- Institute of Computational Mathematics and Mathematical Geophysics
- Issue: Vol 12, No 2 (2018)
- Pages: 362-368
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213067
- DOI: https://doi.org/10.1134/S1990478918020163
- ID: 213067
Cite item
Open Access
Access granted
Subscription Access
Abstract
We propose two economical algorithms for numerical solution of the problem of identifying the right-hand side of the Poisson equation from information on the solution on the boundary of the domain. Both algorithms are based on the method of separation of variables. The method is presented on a discrete level. We use the nonuniform grids along one of the coordinates. There are possible applications for operators with variable coefficients of a special kind.
About the authors
S. B. Sorokin
Novosibirsk State University; Institute of Computational Mathematics and Mathematical Geophysics
Author for correspondence.
Email: sorokin@sscc.ru
Russian Federation, ul. Pirogova 2, Novosibirsk, 630090; pr. Akad. Labret’eva 6, Novosibirsk, 630090
Supplementary files
