[petsc-users] Modified Taylor-Hood elements with piece-wise constant pressure for Stokes equation

Jed Brown jed at jedbrown.org
Mon Jun 1 09:38:07 CDT 2015


Justin Chang <jychang48 at gmail.com> writes:

> There are a few papers that discuss this modified/augmented Taylor-Hood
> elements for Stokes equations in detail (e.g.,
> http://link.springer.com/article/10.1007%2Fs10915-011-9549-4). 

This analysis does not state a finite element.

> From what I have seem, it seems people primarily use this to ensure
> local mass conservation while attaining the desirable qualities of the
> TH element.  Lately I have seen this element used in many FEniCS and
> Deal.II applications (and it's also very easy to implement, just a few
> additional lines of code), 

Could you point to a specific example?  How are they handling
linear dependence of the "basis"?
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