Dear Community members! I started to learn FEniCS using the book by Langtangen and Logg. When solving the Poisson-equation, it is suggested, to reformulate the equation \Delta u = -f to the variational formulation, i.e. multiply by v \in H^1_0 and integrate by parts to get \int \nabla u \cdot…

Hello, Higher order Lagrange elements are still not C^2 continuous, as it is only enforced that their value is the same on mesh entities shared between two cells. In order to have C^2 continuity, you need to have DOFs that endure that the derivative is continuous between cells. For example, Hermit…

Solve PDEs without transforming to variational formulation

variational formulation

kamensky April 29, 2022, 2:11pm 6

I’ll also mention an old post here, where I answered a similar question in some more detail.

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Solve PDEs without transforming to variational formulation

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