Questions tagged [nitsche-method]
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5 questions
2
votes
1
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FEM for Poisson equation using C1 continuous element
When utilizing the standard Bubnov-Galerkin method and $C^1$ continuous element (such as Argyris, Bell, and HCT) on the Poisson equation \begin{align} \nabla^2u=-f \text{ in } \Omega \\ u=g \text{ on }...
- 21
3
votes
2
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509
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Nitsche's method for imposition of Dirichlet boundary conditions: implementation standpoint
I'm trying to understand how Nitsche's method works in practice. I understood the theoretical principle behind it, but what I can't understand is its implementation. More precisely, I'd like to solve ...
- 435
6
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3
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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_{...
- 97
1
vote
0
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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 $H^1$?
- 281
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1
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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 ...
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