An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation-Reference-Cited by-同舟云学术

An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation

Published:2018-04 Issue:2 Volume:12 Page:362-368
ISSN:1990-4789
Container-title:Journal of Applied and Industrial Mathematics
language:en
Short-container-title:J. Appl. Ind. Math.

Author:

Sorokin S. B.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Link

http://link.springer.com/content/pdf/10.1134/S1990478918020163.pdf

Reference9 articles.

1. A. N. Tikhonov and V. Ya. Arsenin, Methods for Solving Ill-Posed Problems (Nauka, Moscow, 1979) [in Russian].

2. P. N. Vabishchevich, “An Inverse Problem of Reconstructing the Right-Hand Side of an Elliptic Equation and Its Numerical Solution,” Differentsial’nyeUravneniya 21 (2), 277–284 (1985).

3. A. A. Samarskii and P. N. Vabishchevich, NumericalMethods for Solving Inverse Problems ofMathematical Physics (Izd. LKI, Moscow, 2009) [in Russian].

4. A. L. Karchevsky, “Reformulation of an Inverse Problem Statement That Reduces Computational Costs,” Eurasian J. Math. Comp. Appl. 1 (2), 4–20 (2013).

5. V. V. Solov’ev, “Source and Coefficient Inverse Problems for an Elliptic Equation in a Rectangle,” Zh. Vychisl. Mat. Mat. Fiz. 47 (8), 1365–1377 (2007) [Comput. Math. and Math. Phys. 47 (8), 1310–1322 (2007)].

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