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Results tagged with mixed-formulation
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user 42123
2
votes
1
answer
302
views
Solving Poisson equations as mixed Laplace using $RT_0-P_0$ pair
I'm trying to solve \begin{cases} - \Delta p=f \text{ in } \Omega\\ p=0 \text{ on } \partial \Omega \end{cases} with in $\Omega = [-1,1]^2$ by writing it as
\begin{cases} u + \nabla p=0 \\ -\operator …
- 67
3
votes
1
answer
449
views
Distributed Lagrange multiplier approach to impose constraint in Poisson equation
I'm trying to understand how Lagrange multipliers are applied in order to impose constraints in PDEs. Consider $B \subset \Omega$. For instance, a square inside another square domain $\Omega$. Let's …
- 67