[Nek5000-users] Spectral coefficients for velocity

[nek5000-users at lists.mcs.anl.gov]

Hi Neks,

Priviously, the parameters p101 and p103 have been discussed:

"In each direction, on each element, the solution is represented as a
polynomial of degree N in the reference element (i.e., on the interval
[-1,1]).

For any Nth-order polynomial there is a modal expansion of the form:

   u(x) = \sum_k=0^N   uh_k phi_k(x)

where   phi_0 = 1, phi_1 = x, and phi_k(x)=L_k(x) - L_{k-1} (x) for k > 1,
where L_k(x)=kth Legendre polynomial."

How can I obtain these coefficients "uh_k" on the several elements?

Thanks in advance for any suggestion,

Andrey
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