The projection error constant estimation for Crouzeix-Raviart FEM.



  • DEMO

Estimation of the Crouzeix-Raviart constant over triangle element

Given a triangle domain $K$ with vertices $(0,0), (1,0), (\cos \theta, \sin\theta)$, denote the edges of $K$ by $e_1$, $e_2$, $e_3$.

Let $\Pi_h$ be the Crouzeix-Raviart interpolation such that $$ \int_{e_i} \Pi_h u -u ds = 0\quad (i=1,2,3)\:. $$

We consider the estimation of the following constant $C$:

$$ |\Pi_h u -u |{L^2(K)} \le C | \nabla(\Pi_h u -u) | $$

The constant is evaluated by solving the corresponding eigenvalue problem of Laplace operator.

About the directory

Folders or files beginning with a dot are not displayed by default.

Virtual Machine Setting

(Please login first to start the virtual machine.)

About file revision at virtual machine

For owner of the project, the file revised on the virtual machine will be saved after shutting down the server. As a visitor user, one can revise files in the booted virtual machine, but the revision will be aborted once the server is shut down.

About Machine Type

The Google app compute engine provides a detailed guide of the machine type. For more detailed information, please refer to More detail.
If you need a high-spec machine type, please contact the site manager.