NodalBasisFunctions1D

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diana.carlson
Posts: 24
Joined: 21 Oct 2009, 09:49

NodalBasisFunctions1D

Post by diana.carlson »

Hi there
I’m studying the ElementDefinitions module and I have problems interpreting the following formula from the subroutines NodalBasisFunctions1D:
s = s + coeff(i) * u ** p(i)
Especially I can’t understand the meaning of coeff(i) and p(i).
Furthermore, I don’t know if ‘u’ is the point’s coordinate in global, serendipity or length coordinates.
Thanks,
Juha
Site Admin
Posts: 357
Joined: 21 Aug 2009, 15:11

Re: NodalBasisFunctions1D

Post by Juha »

Hi Diana,

this is just the evaluation of the 1d-element basis polynomials
in normal form:

Basis_i(u) = c_0 + c_1*u + c_2*u^2 + ...

the coordinate u is in element local coordinates -1 <= u <= 1,
most usually the element integration point.

Juha
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