Publication: A generic approach for the solution of nonlinear residual equations. Part III: Sensitivity computations
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A generic approach for the solution of nonlinear residual equations. Part III: Sensitivity computations

- Article in a journal -
 

Author(s)
Komlanvi Lampoh , Isabelle Charpentier , El Mostafa Daya

Published in
Computer Methods in Applied Mechanics and Engineering

Year
2011

Abstract
Sensitivity analysis provides qualitative and quantitative information on the behaviour of the model under study, and offers an access to gradients that may be used for identification purposes. Such precious information may be obtained at a low development cost applying a generic automatic differentiation (ad) tool to the computer code implementing this model. Nonlinear residual problems solved through a path following method may be addressed too. In this paper, ad techniques are adapted to the Taylor-based asymptotic numerical method. A sensitivity study of a laminated glass beam to the perturbation of some material and geometric parameters, and the perturbation of elementary stiffness matrices illustrates the method.

AD Tools
Diamant, ADiMat

BibTeX
@ARTICLE{
         Lampoh2011Aga,
       title = "A generic approach for the solution of nonlinear residual equations. {Part III}:
         {S}ensitivity computations",
       journal = "Computer Methods in Applied Mechanics and Engineering",
       volume = "200",
       number = "45--46",
       pages = "2983--2990",
       year = "2011",
       issn = "0045-7825",
       url = "http://www.sciencedirect.com/science/article/pii/S0045782511002271",
       doi = "10.1016/j.cma.2011.06.009",
       author = "Komlanvi Lampoh and Isabelle Charpentier and El Mostafa Daya",
       keywords = "Sensitivity analysis; Asymptotic numerical method; Automatic differentiation;
         Diamant; ADiMat; Laminated glasses",
       abstract = "Sensitivity analysis provides qualitative and quantitative information on the
         behaviour of the model under study, and offers an access to gradients that may be used for
         identification purposes. Such precious information may be obtained at a low development cost
         applying a generic automatic differentiation (AD) tool to the computer code implementing this model.
         Nonlinear residual problems solved through a path following method may be addressed too. In this
         paper, AD techniques are adapted to the Taylor-based asymptotic numerical method. A sensitivity
         study of a laminated glass beam to the perturbation of some material and geometric parameters, and
         the perturbation of elementary stiffness matrices illustrates the method.",
       ad_tools = "Diamant, ADiMat"
}


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