Can anybody recommend me a good introduction to Crouzeix-Raviart Finite Elements? Their motivation is not obvious and the body of literature is hard to overlook.

| cite | improve this question | | | | |

I'd take a look at Chapter 3 of the FEniCS book. They cover common and unusual finite elements

In short, a Crouziex-Raviart element is a non-conforming finite element used typically for $H^1$ or $C_0$ discretizations. The nonconformity comes from the fact that continuity is only enforced on a CR element's midpoint as opposed to vertices. For scalar $P_1$ Crouziex-Raviart elements, this reduces down to the condition that the average of the solution is continuous, i.e. over an element edge $e$, $\int_{e}[[u]] = 0$.

| cite | improve this answer | | | | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.