General numerical methods
Choice of finite-difference schemes in solving coefficient inverse problems
A. F. Albu, Yu. G. Evtushenko, V. I. Zubov
Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia
Various choices of a finite-difference scheme for approximating the heat diffusion equation in solving a three-dimensional coefficient inverse problem were studied. A comparative analysis was conducted for several alternating direction schemes, such as locally one-dimensional,
Douglas–Rachford, and Peaceman–Rachford schemes, as applied to nonlinear problems for the three-dimensional heat equation with temperature-dependent coefficients. Each numerical method was used to compute the temperature distribution inside a parallelepiped. The methods were compared in terms of the accuracy of the resulting solution and the computation time required for achieving the prescribed accuracy on a computer.
nonlinear problems, three-dimensional heat equation, numerical methods, alternating direction schemes.
Computational Mathematics and Mathematical Physics, 2020, 60:10, 1589–1600
A. F. Albu, Yu. G. Evtushenko, V. I. Zubov, “Choice of finite-difference schemes in solving coefficient inverse problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1643–1655; Comput. Math. Math. Phys., 60:10 (2020), 1589–1600
Citation in format AMSBIB
\by A.~F.~Albu, Yu.~G.~Evtushenko, V.~I.~Zubov
\paper Choice of finite-difference schemes in solving coefficient inverse problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|