Conjugate Gradient Method for Identification of a Spacewise Heat Source

DOI10.1007/978-3-319-73441-5_66zbMath1476.65220OpenAlexW2782468212MaRDI QIDQ3297467

A. M. Kardashevsky, V. V. Popov, Vasiliy I. Vasil'ev

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-73441-5_66

zbMATH Keywords

inverse problemconjugate gradient methodparabolic partial differential equationimplicit difference schemeidentification of spacewise heat source

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• Identification of a spacewise dependent heat source
• Inverse and ill-posed problems. Theory and applications.
• Determination of a spacewise dependent heat source
• Numerical methods for solving inverse problems of mathematical physics.
• Inverse parabolic problems with the final overdetermination
• Iterative Solution of the Retrospective Inverse Problem for a Parabolic Equation Using the Conjugate Gradient Method
• Iterative computational identification of a space-wise dependent source in parabolic equation
• Reconstruction of a spacewise-dependent heat source in a time-dependent heat diffusion process
• A variational method for identifying a spacewise-dependent heat source
• Determination of an Unknown Heat Source from Overspecified Boundary Data
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