Multiscale FEM


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.


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:

best, Joachim

Hi Joachim,
Thanks for your explanation. It was helpful.