More CutFEM examples

[Shailesh K]

Hi,

Step-85 shows example of CutFEM for Poisson's equation. Is there a similar tutorial for solving linear static analysis using CutFEM, especially with illustration of how to setup boundary conditions. 

Also, is it possible adopt CutFEM for topology optimization? How would one go about it?

Appreciate any comments on this.

Regards

SK

[simon...@gmail.com]

Hi,

> Is there a similar tutorial for solving linear static analysis using CutFEM, especially with illustration of how to setup boundary conditions.

There is no tutorial for this. You would set the boundary conditions weakly at the immersed boundaries. Here are two papers on linear elasticity with cutfem

dx.doi.org/10.1007/978-3-319-71431-8_2

dx.doi.org/10.1007/s10444-020-09785-z

This does not cover all possible boundary conditions one can have in linear elasticity, but it is a starting point.

> Also, is it possible adopt CutFEM for topology optimization? How would one go about it?

Yes. There have been several papers written on this. Here are two:

dx.doi.org/10.1016/j.cma.2019.03.016

dx.doi.org/10.1002/nme.5621

I'm sure one could find more with some searching.

Compared to for example SIMP (as in step 79), the benefit is that the discretization of the PDE is more accurate. The price is that the implementation is much more complicated.

Best,
Simon