Dear all,

I am trying to solve a problem from structural mechanics involving two (finite) elastic domains with different elastic constants.

In order for this problem to be well posed I have to specify internal boundary conditions, in my case a vanishing "jump" of a function of the solution at the boundary.

As a consequence the variational formulation of my problem contains terms that involve objects on different sides of the internal boundary:

more precisely boundary integrals of functions assembled in a cell on one side multiplied by test functions on the other side.

The best way to solve this problem I can think of is to figure out the test/shape function in the same cell that corresponds to the one I really want - which should be possible since

both cells are images of the same unit cell .

Has anybody experiences with something like this or maybe an idea that solves the problem more elegantly?

Thanks in advance,
tariq
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