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[Getfem-users] Boundary condition assembling procedure question


From: Véronique Pham
Subject: [Getfem-users] Boundary condition assembling procedure question
Date: Thu, 13 Aug 2009 21:02:23 +0200

Hi everyone,

I have a question about boundary condition assembling procedure.
I would like to impose a boundary condition like that : du/dn + a.u + b.d²u/dt² = 0 to implement BGT radiation condition (or similar) where
u is the unknow solution
du/dn define the normal derivative
d²u/dt² the tangential second derivative
and a and b are constants.

For the weak formulation, in 2d, the tangential derivative of u is needed.
To impose the normal derivative and the linear part, I use that kind of assembling :
getfem::generic_assembly assem;
assem.push_mi(mim);
assem.push_mf(mf_u);
std::vector<T> tmp(1, m_a); //m_a is a constant
assem.push_data(tmp);
assem.push_mat(F);
assem.set("F=data(1);"
"M(#1,#1)+=-sym(comp(Base(#1).Base(#1))(:,:).F(p))");
assem.assembly(Robin_region);

What is the best way to introduce the tangente part?

Thanks for your help.

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