A linearization technique and error estimates for distributed parameter identification in quasilinear problems

DOI10.1080/01630569608816698zbMath0858.65127OpenAlexW2042968186MaRDI QIDQ4714543

Tommi Kärkkäinen

Publication date: 25 March 1997

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816698

zbMATH Keywords

convergenceinverse problemerror estimatesfinite element methodnumerical experimentsdistributed parameter identificationquasilinear elliptic and parabolic equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Applications to the sciences (65Z05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (3)

A priori error estimates for elliptic optimal control problems with a bilinear state equation ⋮ Error estimates and adaptive finite element methods ⋮ Identification of the topology of inhomogeneous dynamical systems

Cites Work

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• Estimation techniques for distributed parameter systems
• Interpolated Boundary Conditions in the Finite Element Method

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