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Re: [Getfem-users] Test- and Trial space on different meshes


From: julien pommier
Subject: Re: [Getfem-users] Test- and Trial space on different meshes
Date: Tue, 06 Jun 2006 11:56:38 +0200
User-agent: Thunderbird 1.5.0.2 (X11/20060516)

Hello Klaus,

is it possible to assemble a mass matrix where Trial and Test Functions
are defined on different meshes?

For instance the Test Function is defined on a fine, the Trial Function
on a coarse mesh \Omega_H, which may be a subset of the fine one
\Omega_h. Integration is performed over the fine mesh: \int_{\Omega_h}
\partial\phi \partial\psi* where \partial\psi* is the restriction of
\psi defined on \Omega_H to \Omega_h.

I know that with asm_mass_matrix it is possible to define two different
functions mf_u1 and mf_u2 to integrate, but what if they are defined on
different meshes?
The asm_mass_matrix function will not allow you to use directly two mesh_fem with different meshes, you have to go through an "interpolated_fem". What you are looking for is explained in the chapter "Interpolation of a finite element method on non-matching meshes":
http://www-gmm.insa-toulouse.fr/getfem/getfemuser/getfemuser_15.html

--
Julien



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