All Questions
Tagged with deal.ii weak-solution
3 questions
3
votes
2
answers
509
views
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
2
votes
1
answer
374
views
SIPG method for $-\nabla \cdot (\nu \nabla u)=f$
Consider the diffusion equation with a coefficient $\nu$: $$-\nabla \cdot (\nu \nabla u)=f$$ with Dirichlet boundary conditions $u = g_D$ in $\partial \Omega$.
If the coefficient would be constant, ...
- 435
2
votes
2
answers
192
views
Manufactured solution for $-\operatorname{div}(a(x) \nabla{u}) = f$ when $\alpha(x)$ is discontinuous
I'm studying the dealii tutorial number 4,5 and I understand the workflow. I've also been able to find the EOC by using manufactured solution where $f$ is a smooth r.h.s. and $\alpha(x)$ smooth too.
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- 435