Splitting-based conjugate gradient method for a multi-dimensional linear inverse heat conduction problem

DOI10.1016/j.cam.2009.06.037zbMath1173.65058OpenAlexW2020644052MaRDI QIDQ843143

Nguyen Trung Thành, Dinh Nho Hào, Hichem Sahli

Publication date: 29 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.037

zbMATH Keywords

stabilitynumerical resultsregularizationconjugate gradient methodvariational methodill-posed problemssplitting methodinverse heat conduction problems

Mathematics Subject Classification ID

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) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

Determination of a time-dependent term in the right-hand side of linear parabolic equations ⋮ Determination of the initial condition in parabolic equations from integral observations ⋮ A boundary element method for a multi-dimensional inverse heat conduction problem ⋮ A time-space spectral tau method for the time fractional cable equation and its inverse problem ⋮ Solution of the Cauchy problem for the wave equation using iterative regularization

Cites Work

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• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Estimation of piecewise constant coefficients of parabolic equations: applications to the detection of buried objects
• A noncharacteristic cauchy problem for linear parabolic equations II: a variational method
• The regularizing properties of the adjoint gradient method in ill-posed problems
• Inverse problems for partial differential equations

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