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From: | Yves Renard |
Subject: | Re: [Getfem-users] question about nitsche |
Date: | Wed, 14 Oct 2015 12:49:50 +0200 |
User-agent: | Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.2.0 |
Dear Wen, Yes, the term D_u G[v] is the directional derivative of "G" in the direction "v". Of course it is simply G(v) if the problem to be solved is linear. The term (Hu-g).(Hv)/ \gamma prescribe the condition itself, The term HG.Hv cancel the Neumann term in the corresponding direction in order to be consistent (without this term, the formulation is simply a non-consistent penalization of the Dirichlet condition). It is simply obtained by the integration by part when passing from the strong formulation of the problem to the weak one. Finally, the term \theta(Hu-g)H D_u G[v] is added such that the formulation derive from a potential energy for \theta = 1 (and variational problems). Yves. On 13/10/2015 17:00, Wen Jiang wrote:
-- 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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