Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation

DOI10.1007/s10665-006-9073-yzbMath1122.80010OpenAlexW2062324038MaRDI QIDQ873176

Jay I. Frankel

Publication date: 28 March 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-006-9073-y

zbMATH Keywords

Inverse problemsParabolic equationsDigital filtering

Mathematics Subject Classification ID

Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (9)

Response function formulation for inverse heat conduction: concept ⋮ A new three-dimensional heat flux-temperature integral relationship for half-space transient diffusion ⋮ A new flux integral relationship for half-space transient heat conduction with arbitrary initial condition ⋮ Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method ⋮ Local sensitivity analysis for the heat flux-temperature integral relationship in the half-space ⋮ Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM) ⋮ Definitions, properties and applications of finite-part integrals ⋮ Using derivative regularization to solve inverse heat conduction problems ⋮ Global time method for inverse heat conduction problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact solution of a simple hypersingular integral equation
• Numerical evaluation of hypersingular integrals
• Inverse Problems Light: Numerical Differentiation
• Inferring convective and radiative heating loads from transient surface temperature measurements in the half-space
• On the solution of integral equations with strongly singular kernels
• Differentiation of Approximately Specified Functions
• Linear integral equations

This page was built for publication: Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation