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[Getfem-users] Define a scalar variable computed over a surface


From: David Danan
Subject: [Getfem-users] Define a scalar variable computed over a surface
Date: Thu, 26 Apr 2018 10:03:59 +0200

Dear GetFEM++ users,

i was wondering whether it was possible to define a scalar variable computed over a surface, namely in my case a volume bounded by surfaces.

That is to say, something along the lines of
Volume= (1/3) int_{Gamma} Det(Grad_u+Id(3)) Normal.Inv(Grad_u+Id(3)).(X+u) dGamma
where we denote by:
-Gamma, the surfaces in the undeformed configuration
-u, the displacement field
-X, the position in the undeformed configuration

Also, out of curiosity, is it possible to compute such a thing in post-processing?

Thanks in advance,
David.

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