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Questions tagged [nitsche-method]

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5
votes
3answers
240 views

How to impose boundary condition with mixed derivatives?

I have the biharmonic equation on a 2D rectangular domain $\Omega$ with the following boundary conditions: $\Delta^2 u = f$ on $\Omega$ $\nabla u \bullet \mathbf{n}=0$ on $\partial \Omega$ (1) $u_{...
1
vote
0answers
111 views

Nitsche' method coercivity again

I know that for a dependent-mesh norm Nitsche' method for boundary conditions is coercive. But how to prove this for the usual norms for $H^1$?
15
votes
1answer
5k views

What is the general idea of Nitsche's method in numerical analysis?

I know that the Nitsche's method is a very attractive methods since it allows to take into account Dirichlet type boundary conditions or contact with friction boundary conditions in a weak way without ...