Taylor Hood elements

[Ondrej Certik]

Hi,

in some older email Pavel wrote:

On Mon, Jan 19, 2009 at 11:24 AM, Pavel Solin <so...@unr.edu> wrote:
[...]
> we need to do some things for plain Navier-Stokes equations: Implement
> the Newton's method for the implicit nonlinear iteration, extend

This is already done.

> the elements for flow to arbitrary-order Taylor-Hood, etc. The first
> one might be very difficult for a newcomer, but perhaps he could test
> the higher-order Taylor-Hood elements - first polynomially uniform mesh
> without adaptivity for p = 2, 3, ..., 10, then with h-adaptivity, and
> last with hp-adaptivity. Do you think that this is feasible?

What are the Taylor Hood elements? I tried to google it, but cannot
find some explanation, only that the pressure is supposed to be
continuous in Taylor Hood elements?

Ondrej

[Pavel Solin]

Taylor-Hood elements are those everyone uses -- both pressure
and velocity are continuous, velocity is one order higher polynomial
than pressure. First is T-H 2/1, which means velocity quadratic and
pressure linear. These we use in examples 08, 35, 36.

Pavel

--
Pavel Solin
University of Nevada, Reno
http://hpfem.math.unr.edu/people/pavel
Visit Hermes project at http://hpfem.org

[Ondrej Certik]

On Fri, May 29, 2009 at 5:21 PM, Pavel Solin <so...@unr.edu> wrote:
> Taylor-Hood elements are those everyone uses -- both pressure
> and velocity are continuous, velocity is one order higher polynomial
> than pressure. First is T-H 2/1, which means velocity quadratic and
> pressure linear. These we use in examples 08, 35, 36.

Ah, so Taylor Hood is just a special combination of polynomial orders.

Thanks,
Ondrej

[Ondrej Certik]

And also H_1 elements.

Ondrej