FEM Programming -Adaptive Remeshing Problem Because of Penetration(Figure was attached to illustrate the problem)

Hello,everyone!

I'm programming by myself to do the simulation of forming process. I met the problem below. [img_assist|nid=8910|title=probelm|desc=penetration in adaptive remeshing|link=none|align=left|width=60|height=100]

I used second order triangular elements and h-refinement method in the simulation. When the workpiece(bottom) is remeshed, the new node is inside of the tool(upper). How can i solve the problem?

Any help will be appreciated!

Thanks!