Sinc-Galerkin estimation of diffusivity in parabolic problems

DOI10.1088/0266-5611/9/1/007zbMath0767.65093OpenAlexW2053907292MaRDI QIDQ4036044

Ralph C. Smith, Kenneth L. Bowers

Publication date: 16 May 1993

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2060/19910015519

zbMATH Keywords

inverse problemnumerical examplesTikhonov regularizationill-posed problemsinc-Galerkin methodexponential convergence ratediffusion coefficientsundetermined coefficientparameter recovery problems\(L\)-curve techniquequasi-Newton/trust region algorithm

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Initial value problems for second-order parabolic equations (35K15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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