A boundary element method of inverse non-linear heat conduction analysis with point and line heat sources

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-0887(200003)16:3<191::AID-CNM321>3.0.CO;2-N" /><191::AID-CNM321>3.0.CO;2-N 10.1002/(SICI)1099-0887(200003)16:3<191::AID-CNM321>3.0.CO;2-NzbMath0951.65091OpenAlexW2001310674MaRDI QIDQ4956162

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Publication date: 19 December 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(200003)16:3<191::aid-cnm321>3.0.co;2-n

zbMATH Keywords

numerical examplesboundary element methodinverse nonlinear heat conductionKirchhoff transportationpoint and line heat sources

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

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A novel method for estimation of intensity and location of multiple point heat sources based on strain measurement ⋮ Application of the restrained optimal perturbation method to study the backward heat conduction problem ⋮ Analysis of transient uncoupled thermoelastic problems involving moving point heat sources using the method of fundamental solutions ⋮ A Two-Constraint Method for Appropriate Determination of the Configuration of Source and Collocation Points in the Method of Fundamental Solutions for 2D Laplace Equation ⋮ Filter digital form of two future temperature methods for the inverse heat conduction: A spectral comparison ⋮ A computational method for identifying a spacewise-dependent heat source ⋮ Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem ⋮ Flaw identification for Laplace equation using the linear sampling method ⋮ The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions

Cites Work

• Unnamed Item
• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
• Solving the two-dimensional inverse heat source problem through the linear least-squares error method
• Application of the boundary element method to inverse heat conduction problems
• Elements of structural optimization.

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