The general \textit{a posteriori} truncation method and its application to radiogenic source identification for the helium production-diffusion equation

DOI10.1016/j.apm.2016.10.065zbMath1446.65099OpenAlexW2556360011MaRDI QIDQ2284833

Liang Yan, Yuan-Xiang Zhang

Publication date: 15 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2016.10.065

zbMATH Keywords

truncation methodsource identification\textit{a posteriori} parameter choice ruleproduction-diffusion equation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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 methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (4)

Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain ⋮ The truncation regularization method for identifying the initial value of heat equation on a spherical symmetric domain ⋮ Two fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equation ⋮ The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation

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