An iterative method for a Cauchy problem for the heat equation

DOI10.1093/imamat/hxh093zbMath1129.65063OpenAlexW2028145019MaRDI QIDQ5424252

B. Tomas Johansson

Publication date: 5 November 2007

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxh093

zbMATH Keywords

convergenceinverse problemiterative methodreconstructionparabolic initial-boundary value problem

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions ⋮ Regularization of the noisy Cauchy problem solution approximated by an energy-like method ⋮ A depth-dependent stability estimate in an iterative method for solving a Cauchy problem for the Laplace equation ⋮ Numerical solution of parabolic Cauchy problems in planar corner domains ⋮ Numerical solution of inverse heat conduction problems in two spatial dimensions ⋮ An iterative algorithm for a Cauchy problem in eddy-current modelling ⋮ Leak identification in a saturated unsteady flow via a Cauchy problem

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