Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data

S. I. Kabanikhin; M. A. Shishlenin

doi:10.1134/S1995423918010056

Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data

S. I. Kabanikhin, M. A. Shishlenin

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In this paper, an inverse problem of recovering a leading time-dependent coefficient from nonlocal additional information is investigated. To approximately solve the nonlinear inverse problems, we propose a gradient method of minimizing an objective functional. A comparative analysis with a method based on a linearized approximation scheme with respect to time is performed. The results of numerical calculations are presented.

Original language	English
Pages (from-to)	38-44
Number of pages	7
Journal	Numerical Analysis and Applications
Volume	11
Issue number	1
DOIs	https://doi.org/10.1134/S1995423918010056
Publication status	Published - 1 Jan 2018

Keywords

nonlocal condition
numerical methods
parabolic equation
time-dependent coefficient inverse problem

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10.1134/S1995423918010056

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abstract = "In this paper, an inverse problem of recovering a leading time-dependent coefficient from nonlocal additional information is investigated. To approximately solve the nonlinear inverse problems, we propose a gradient method of minimizing an objective functional. A comparative analysis with a method based on a linearized approximation scheme with respect to time is performed. The results of numerical calculations are presented.",

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N2 - In this paper, an inverse problem of recovering a leading time-dependent coefficient from nonlocal additional information is investigated. To approximately solve the nonlinear inverse problems, we propose a gradient method of minimizing an objective functional. A comparative analysis with a method based on a linearized approximation scheme with respect to time is performed. The results of numerical calculations are presented.

AB - In this paper, an inverse problem of recovering a leading time-dependent coefficient from nonlocal additional information is investigated. To approximately solve the nonlinear inverse problems, we propose a gradient method of minimizing an objective functional. A comparative analysis with a method based on a linearized approximation scheme with respect to time is performed. The results of numerical calculations are presented.

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KW - numerical methods

KW - parabolic equation

KW - time-dependent coefficient inverse problem

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Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data

Abstract

Keywords

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