Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times

DOI10.1016/j.camwa.2019.04.034zbMath1443.35051OpenAlexW2978121962WikidataQ127188570 ScholiaQ127188570MaRDI QIDQ2203650

Kai Cao, Daniel Lesnic

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/145116/1/kaya.pdf

zbMATH Keywords

inverse problemparabolic equationheat sourceinitial temperaturereaction coefficientconjugated gradient method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems ⋮ Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term

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