Determining surface heat flux in the steady state for the Cauchy problem for the Laplace equation

DOI10.1016/j.amc.2009.01.046zbMath1162.65400OpenAlexW2084613878MaRDI QIDQ1021659

Hao Cheng, Xiao-Li Feng, Chu-Li Fu

Publication date: 9 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.046

zbMATH Keywords

regularizationCauchy problemerror estimateLaplace equationill-posed problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (4)

Group preserving scheme for the Cauchy problem of the Laplace equation ⋮ Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time ⋮ Determining surface heat flux for noncharacteristic Cauchy problem for Laplace equation ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation

Cites Work

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• Numerical solution of a Cauchy problem for the Laplace equation
• Numerical Computation of a Cauchy Problem for Laplace's Equation
• Stable determination of a crack from boundary measurements
• Stability results for the Cauchy problem for the Laplace equation in a strip
• Fourier regularization method for solving a Cauchy problem for the Laplace equation

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