Landweber–Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction

DOI10.1177/1081286520921437zbMath1482.74065OpenAlexW3036732952MaRDI QIDQ5133809

Liviu Marin

Publication date: 11 November 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286520921437

zbMATH Keywords

inverse problemboundary element methodvariational formulationanisotropic heat conductiongradient methodregularisation

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Boundary element methods applied to problems in solid mechanics (74S15) Thermal effects in solid mechanics (74F05) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (8)

A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction ⋮ BEM-fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction ⋮ Fading regularization MFS algorithm for the Cauchy problem in anisotropic heat conduction ⋮ Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients ⋮ Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction ⋮ A Tikhonov regularization method for Cauchy problem based on a new relaxation model ⋮ A CCBM-based generalized GKB iterative regularization algorithm for inverse Cauchy problems ⋮ Solving stationary inverse heat conduction in a thin plate

Cites Work

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• An iterative method for solving the Cauchy problem for elliptic equations
• The method of fundamental solutions for elliptic boundary value problems
• Regularization methods for large-scale problems
• Introduction to Finite Element Analysis
• The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
• Boundary element-Landweber method for the Cauchy problem in linear elasticity
• An Iteration Formula for Fredholm Integral Equations of the First Kind
• A comparison of boundary element method formulations for steady state anisotropic heat conduction problems

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