Numerical solution of inverse heat conduction problems in two spatial dimensions

DOI10.1515/JIIP.2007.010zbMath1126.35105OpenAlexW1996553345MaRDI QIDQ5427266

Jörg Frohne, Dinh Nho Hào, Hans-Juergen Reinhardt, Franz-Theo Suttmeier

Publication date: 19 November 2007

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2007.010

zbMATH Keywords

finite element methodregularizationnoncharacteristic Cauchy problem for parabolic equations

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

Numerical solution of parabolic Cauchy problems in planar corner domains ⋮ Leak identification in a saturated unsteady flow via a Cauchy problem ⋮ A numerical solution of a two-dimensional IHCP ⋮ Inverse solutions of temperature, heat flux and heat source by the Green element method ⋮ Solution of the Cauchy problem for the wave equation using iterative regularization

Uses Software

• deal.ii

Cites Work

• Unnamed Item
• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
• On concepts of PDE-Software: The cellwise oriented approach in DEAL
• A noncharacteristic cauchy problem for linear parabolic equations II: a variational method
• Fast CG-Based Methods for Tikhonov--Phillips Regularization
• The regularizing properties of the adjoint gradient method in ill-posed problems
• Stable numerical solution to linear inverse heat conduction problems by the conjugate gradient method
• An iterative method for a Cauchy problem for the heat equation

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