Choice of finite-difference schemes in solving coefficient inverse problems

DOI10.1134/S0965542520100048zbMath1453.65288OpenAlexW3109433869MaRDI QIDQ2214158

V. I. Zubov, Alla F. Albu, Yuri G. Evtushenko

Publication date: 6 December 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520100048

zbMATH Keywords

numerical methodsnonlinear problemsthree-dimensional heat equationalternating direction schemes

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (5)

Adaptive Gradient-Free Method for Stochastic Optimization ⋮ Inverse coefficient problems and fast automatic differentiation ⋮ Determination of the thermal conductivity from the heat flux on the surface of a three-dimensional body ⋮ Identification of the thermal conductivity coefficient in the three-dimensional case by solving a corresponding optimization problem ⋮ On one approach to the numerical solution of a coefficient inverse problem

Cites Work

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• Stability theory of difference schemes and iterative methods

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