Combined energy method and regularization to solve the Cauchy problem for the heat equation

DOI10.1080/17415977.2013.836191zbMath1304.65212OpenAlexW2008040438MaRDI QIDQ5496496

Stéphane Andrieux, R. Rischette, Thouraya Nouri Baranger

Publication date: 2 February 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.836191

zbMATH Keywords

total variationheat equationenergy methodregularizationCauchy problemstopping criterion

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

Solution of nonlinear Cauchy problem for hyperelastic solids ⋮ Nonlinear Cauchy problem and identification in contact mechanics: a solving method based on Bregman-gap ⋮ An inverse problem of finding the time-dependent diffusion coefficient from an integral condition ⋮ Data Recovery from Cauchy Measurements in Transient Heat Transfer

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