Gauss-Newton and inverse Gauss-Newton methods for coefficient identification in linear elastic systems

DOI10.1007/S10440-012-9686-2zbMath1241.65065OpenAlexW2043650605MaRDI QIDQ411464

David L. Russell

Publication date: 4 April 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9686-2

zbMATH Keywords

convergenceinverse problemsnonlinear least squares problemsidentification of parametersinverse Gauss-Newton iterative methodlinear elastic systemslinear second order boundary value problemoverdetermined systems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of solutions to systems of equations (65H10) Classical linear elasticity (74B05) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Cites Work

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• Structural parameter optimization of linear elastic systems
• Coefficient identification and fault detection in linear elastic systems; one dimensional problems
• Adaptive finite element methods for the identification of distributed parameters in elliptic equation
• A fast iterative method for solving regularized parameter identification problems in elliptic boundary value problems
• Estimation techniques for distributed parameter systems
• A comparison of some algorithms for the nonlinear least squares problem
• Large-Scale Scientific Computing

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