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Is it possible to increase the order of the finite element space locally?

+2 votes

Exampe:

Let $\Omega$ be a disc of radius 1 centered in the origin,
and let $D$ be a disc of radius 0.5 centered in the origin as well.

Is it possible to solve
$$-\Delta u = 1 \quad \text{in } \Omega\,, \quad u = 0 \quad\text{on } \partial\Omega\,,$$
using first order continuous Lagrangian finite elements in $\Omega\setminus D$ and
second order continuous Lagrangian finite elements in $D$?

asked Sep 23, 2016 by aldapa FEniCS Novice (380 points)
edited Sep 23, 2016 by aldapa

1 Answer

0 votes
 
Best answer

FEniCS does not support this (in a straightforward manner).

answered Sep 26, 2016 by Kent-Andre Mardal FEniCS Expert (14,380 points)
selected Sep 27, 2016 by aldapa

It would be great if this may be possible in general! But now, is there any non-straigthforward way to do this or a suggestion i could try?

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