Conditional stability and numerical reconstruction of initial temperature

DOI10.3934/cpaa.2009.8.361zbMath1181.65121OpenAlexW2120399991MaRDI QIDQ2518240

Masahiro Yamamoto, Jingzhi Li, Jun Zou

Publication date: 15 January 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.361

zbMATH Keywords

finite element methodconditional stabilityTikhonov regularizationCarleman estimatebackward heat problemoutput least-squares

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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