Residual-minimization least-squares method for inverse heat conduction

DOI10.1016/0898-1221(96)00130-7zbMath0858.65098OpenAlexW2086951829MaRDI QIDQ1816698

Jay I. Frankel

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00130-7

zbMATH Keywords

symbolic computationradial basis functionsspline approximationleast squaresinverse heat conduction problemVolterra integral equation of the first kindnoisy discrete dataresidual-minimization

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Heat equation (35K05) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Volterra integral equations (45D05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (17)

Boundary condition limitation in an inverse source problem and its overcoming ⋮ Efficient numerical methods for boundary data and right‐hand side reconstructions in elliptic partial differential equations ⋮ A stable numerical algorithm for identifying the solution of an inverse problem ⋮ Identification of time-dependent source terms and control parameters in parabolic equations from overspecified boundary data ⋮ Finite volume method for solving a one-dimensional parabolic inverse problem ⋮ Inverse source identification by Green's function ⋮ A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation ⋮ The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems ⋮ A numerical study of inverse heat conduction problems ⋮ Identifying an unknown source in the Poisson equation by a wavelet dual least square method ⋮ Inverse source identification for Poisson equation ⋮ An inverse heat conduction problem with a nonlinear source term ⋮ Two-dimensional inverse heat conduction problem in a quarter plane: integral approach ⋮ A boundary integral method for solving inverse heat conduction problem ⋮ Numerical solution of inverse heat conduction problem with nonstationary measurements ⋮ A modified Tikhonov regularization for unknown source in space fractional diffusion equation ⋮ OPTIMAL ERROR BOUND AND A GENERALIZED TIKHONOV REGULARIZATION METHOD FOR IDENTIFYING AN UNKNOWN SOURCE IN THE POISSON EQUATION

Cites Work

• Periodic B-spline basis for quasi-steady periodic inverse heat conduction
• Some new characterizations of the Chebyshev polynomials
• A Volterra integral equation of the first kind
• The numerical solution from measurement data of linear integral equations of the first kind
• A Galerkin solution to a regularized Cauchy singular integro-differential equation
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• Linear integral equations
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