On 6/23/24 04:53, 陈敏 wrote:
ψ_n is the Legendre polynomial basis on polynomial space, and /l_i ^k is the
/lagrangian polynomial basis on physical space. There will be a transform
between the two spaces by projection.
/
I see, yes. This basis transform is facilitated by a simple matrix on each
cell for which there are functions that can compute it (either in FETools or
in the finite element itself) if you want to use a *local* projection. If you
want to transform globally, it requires the inversion of a mass matrix, which
is also not difficult.
Anyway, if I want to implement a spectral method in dealii, I just need to
use Legendre polynomial basis and do quadrature on Legendre-Gauss-Lobatto
(LGL) quadrature points?
Yes, more or less.
Best
W.
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