8. Summary of results

This test makes it possible to validate the functioning of the preconditioning of Heaviside ddls for quadratic elements XFEM.

It is observed that this pre-conditioning strategy gives better results than the readjustment of the level-set with linear elements, as well as the elimination of ddls by the stiffness criterion.

For quadratic elements, the pre-conditioner is essential to obtain a robust solution.