Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method

DOI10.1023/A:1023012328209zbMath0902.65036OpenAlexW341109468MaRDI QIDQ1265628

Tommi Kärkkäinen

Publication date: 28 September 1998

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32981

zbMATH Keywords

heat equationinverse problemfinite element methodparameter identificationerror boundsCrank-Nicolson schemeleast squares method

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Cites Work

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• Identification of a nonlinear parameter in a parabolic equation from a linear equation
• Galerkin methods for parabolic equations with nonlinear boundary conditions
• Error Estimates for the Numerical Identification of a Variable Coefficient
• On the Smoothing Property of the Galerkin Method for Parabolic Equations
• Interpolated Boundary Conditions in the Finite Element Method
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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