A \(C^0\) finite element method for an inverse problem

DOI10.1016/S0096-3003(97)00401-3zbMath0905.65091OpenAlexW1976000784MaRDI QIDQ1126698

Tao Lin

Publication date: 2 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)00401-3

zbMATH Keywords

inverse problemerror estimatesfinite element methodnumerical examplesboundary value problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces
• A review of some recent results on the output least squares formulation of parameter estimation problems
• Inherent identifiability of parameters in elliptic differential equations
• Estimation techniques for distributed parameter systems
• Error Estimates for the Numerical Identification of a Variable Coefficient
• A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems
• The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems
• A variational method for parameter identification
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