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I'm a mechanical engineer who's just gotten into FE analysis. The more I read about FE methods for Navier-Stokes, the more I run into the "LBB condition". I understand that it talks about the order of the interpolation fields for the pressure and velocity fields and how the velocity field must be of a higher order than the pressure field. I see that its an "inf-sup" condition and all that jazz. What I don't understand is all the notation and background that is assumed when people talk about this stuff i.e. all the prerequisites.

I was hoping some one here can recommend a textbook that caters to someone who is on the sophomore-junior level that can thoroughly understand what the LBB condition is. Thanks!

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  • $\begingroup$ I would mention Brezzi-Fortin book "mixed finite element methods: theory and applications". In addition to the theory behind lbb, they also have a section on practical aspects (at linear algebra level) $\endgroup$ – VorKir Aug 20 '18 at 0:51

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