Determination of the ambient temperature in transient heat conduction

DOI10.1093/IMAMAT/HXT012zbMath1309.35171OpenAlexW2032669303WikidataQ59898128 ScholiaQ59898128MaRDI QIDQ5176553

Dinh Nho Hào, Phan Xuan Thanh, Daniel Lesnic

Publication date: 26 February 2015

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

Full work available at URL: http://eprints.whiterose.ac.uk/83756/7/lesnicpaper.pdf

zbMATH Keywords

heat equationinverse problemboundary element methodconjugate gradient methodambient temperature

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Inverse problems for PDEs (35R30) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15) Inverse problems in thermodynamics and heat transfer (80A23) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Variational methods applied to problems in thermodynamics and heat transfer (80M30)

Related Items (3)

Reconstruction of the heat transfer coefficients and heat fluxes in heat conduction problems ⋮ An analytical solution of the Laplace equation with Robin conditions by applying Legendre transform ⋮ Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems

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