Discrete-analytic schemes for solving an inverse coefficient heat conduction problem in a layered medium with gradient methods

被引：0
|
作者：
A. V. Penenko
机构：
[1] Russian Academy of Sciences,Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
来源：
Numerical Analysis and Applications | 2012年 / 5卷 / 4期
关键词：
inverse problem; gradient algorithm; numerical schemes; locally-adjoint problems;
D O I：
10.1134/S1995423912040052
中图分类号：
学科分类号：
摘要：
A method for constructing numerical schemes for an inverse coefficient heat conduction problem with boundary measurement data and piecewise-constant coefficients is considered. Some numerical schemes for a gradient optimization algorithm to solve the inverse problem are presented. The method is based on locally-adjoint problems in combination with approximation methods in Hilbert spaces.
引用
收藏
页码：326 / 341
页数：15
相关论文
共 50 条
  • [1] Discrete-Analytic Schemes for Solving an Inverse Coefficient Heat Conduction Problem in a Layered Medium with Gradient Methods
    Penenko, A. V.
    NUMERICAL ANALYSIS AND APPLICATIONS, 2012, 5 (04) : 326 - 341
  • [2] A gradient descent method for solving an inverse coefficient heat conduction problem
    S. I. Kabanikhin
    A. Hasanov
    A. V. Penenko
    Numerical Analysis and Applications, 2008, 1 (1) : 34 - 45
  • [3] A Gradient Descent Method for Solving an Inverse Coefficient Heat Conduction Problem
    Kabanikhin, S. I.
    Hasanov, A.
    Penenko, A. V.
    NUMERICAL ANALYSIS AND APPLICATIONS, 2008, 1 (01) : 34 - 45
  • [4] Solving inverse heat conduction problem with discrete wavelet transform
    Candau, Y
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2005, 13 (04) : 329 - 339
  • [5] Application of Meshless Methods for Solving an Inverse Heat Conduction Problem
    Rostamian, Malihe
    Shahrezaee, Alimardan
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, 9 (01): : 64 - 83
  • [6] Spectral and wavelet methods for solving an inverse heat conduction problem
    Eldén, L
    Berntsson, F
    INVERSE PROBLEMS IN ENGINEERING MECHANICS, 1998, : 3 - 10
  • [7] Discrete-analytic solution of unsteady-state heat conduction transfer problem based on a theory of matrix function
    Sidorov, Vladimir N.
    Matskevich, Sergey M.
    XXIV R-S-P SEMINAR, THEORETICAL FOUNDATION OF CIVIL ENGINEERING (24RSP) (TFOCE 2015), 2015, 111 : 726 - 733
  • [8] INTEGRO-DIFFERENTIAL METHOD OF SOLVING THE INVERSE COEFFICIENT HEAT CONDUCTION PROBLEM
    Baranov, V. L.
    Zasyad'ko, A. A.
    Frolov, G. A.
    JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2010, 83 (01) : 60 - 71
  • [9] On the Peculiarities of Solving the Coefficient Inverse Problem of Heat Conduction for a Two-Part Layer
    Vatulyan, A. O.
    Nesterov, S. A.
    IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2019, 19 (04): : 409 - 423
  • [10] Methods for Solving of Inverse Heat Conduction Problems
    Kobilskaya, E.
    Lyashenko, V.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS'16), 2016, 1773
12345