Source strength identification problem for the three-dimensional inverse heat conduction equations

DOI10.1080/17415977.2019.1665663zbMath1475.65110OpenAlexW2973342058MaRDI QIDQ4991491

Tao Min, Shunquan Zang, Shengnan Chen

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1080/17415977.2019.1665663

zbMATH Keywords

integral equationregularizationinverse heat conduction problemsource strength

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical optimization and variational techniques (65K10) Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Eigenvalues, singular values, and eigenvectors (15A18) Numerical quadrature and cubature formulas (65D32) Volterra integral equations (45D05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80) Regularization by noise (60H50)

Related Items (1)

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Cites Work

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• Conditional stability in determining a heat source
• INVERSE ESTIMATION OF THE INITIAL CONDITION FOR THE HEAT EQUATION

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