Numerical methods for solving a boundary-value inverse heat conduction problem

DOI10.1080/17415977.2013.830614zbMath1329.65215OpenAlexW2012197722MaRDI QIDQ3465074

Natalia M. Yaparova

Publication date: 28 January 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.830614

zbMATH Keywords

Fourier transformLaplace transformregularization methodheat conduction equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (max. 100)

Solving of two-dimensional unsteady inverse heat conduction problems based on boundary element method and sequential function specification method ⋮ Application of numerical methods for the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Inversion of thermal conductivity in two-dimensional unsteady-state heat transfer system based on boundary element method and decentralized fuzzy inference ⋮ Regularization method for the radially symmetric inverse heat conduction problem ⋮ Inverse heat conduction problem with a nonlinear source term by a local strong form of meshless technique based on radial point interpolation method ⋮ Solution to two-dimensional steady inverse heat transfer problems with interior heat source based on the conjugate gradient method

Cites Work

• On quasioptimum selection of the regularization parameter in M. M. Lavrent'ev's method
• An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform
• Fourier analysis of conjugate gradient method applied to inverse heat conduction problems
• Inverse and ill-posed problems. Theory and applications.
• Numerical solution of a 2D inverse heat conduction problem
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• The a posteriori Fourier method for solving ill-posed problems
• Approximate inverse for a one-dimensional inverse heat conduction problem

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