BibTeX
@ARTICLE{
Koutsawa2008Aga,
title = "A generic approach for the solution of nonlinear residual equations. {Part I}: The
{D}iamant toolbox",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "198",
number = "3--4",
pages = "572--577",
year = "2008",
issn = "0045-7825",
doi = "DOI: 10.1016/j.cma.2008.09.003",
url =
"http://www.sciencedirect.com/science/article/B6V29-4TFW973-1/2/0c02e0c05f296b632dbe9150485e8b01",
author = "Yao Koutsawa and Isabelle Charpentier and El Mostafa Daya and Mohammed Cherkaoui",
keywords = "Geometrical nonlinearities",
abstract = "Sufficiently smooth nonlinear PDE problems may be addressed through the higher
order derivative computations of the so-called Asymptotic Numerical Method (ANM). In this paper, we
theoretically discuss the generic solution of nonlinear residual equations. We then propose a Matlab
implementation of the ANM based on Automatic Differentiation which allows for significant
improvements in genericity and ease of use. The Diamant toolbox we construct is applied to the study
of the geometrical nonlinear behavior of a laminated glass beam. Numerical results and experimental
performances demonstrate the efficiency of the Diamant tool.",
ad_tools = "Diamant"
}
|