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Multiscale FEM

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4 years 9 months ago - 4 years 9 months ago #1706 by P. Sh
Multiscale FEM was created by P. Sh
Hi,

Does Netgen/NGsolve support multiscale FEM problems (multiscale models based on the theory of homogenization )? Has anyone had any experience in this regard?
I am grateful for any response. Thanks.

Best,
Danial
Last edit: 4 years 9 months ago by P. Sh.
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4 years 9 months ago #1708 by joachim
Replied by joachim on topic Multiscale FEM
Hi Daniel,

there are many different versions of homogenization. Typically, you calculate the coefficients for the homogenized equation either by pencil and paper, or by solving a pde on a unit cell numerically. This is your job.

Then you can directly specify the homogenized equation in NGSolve.

You can have a look into our papers with Karl on multi-scale finite elements for Maxwell equations:
www.asc.tuwien.ac.at/~schoeberl/wiki/index.php/Karl_Hollaus

best, Joachim
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4 years 9 months ago #1731 by P. Sh
Replied by P. Sh on topic Multiscale FEM
Hi Joachim,
Thanks for your explanation. It was helpful.

Best,
Danial
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