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From: | Yves Renard |
Subject: | Re: [Getfem-users] Curvilinear structures in Getfem |
Date: | Mon, 20 Nov 2017 14:10:42 +0100 |
User-agent: | Mozilla/5.0 (X11; Linux x86_64; rv:52.0) Gecko/20100101 Thunderbird/52.4.0 |
Dear Jean-François, For a vector variable 'u', each line of 'Grad_u' is the gradient of the ith component of 'u', each of them is tangent to the curve and length being the derivative with respect to the curvilinear abscissa. The linearized deformation is a priori Normalized(element_K).(Grad_u * Normalized(element_K)) The formulas used to compute the gradient and the Hessian can be found here: http://getfem.org/project/femdesc.html#geometric-transformations http://getfem.org/project/appendixA.html#derivative-computation The hessian of a vector valued variable is also the hessian of each component. Best regards, Yves. Le 20/11/2017 à 02:10, Jean-François Barthélémy a écrit :
-- Yves Renard (address@hidden) tel : (33) 04.72.43.87.08 Pole de Mathematiques, INSA-Lyon fax : (33) 04.72.43.85.29 20, rue Albert Einstein 69621 Villeurbanne Cedex, FRANCE http://math.univ-lyon1.fr/~renard --------- |
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