> So my question is, can I use LEGENDRE basis at all for non-infinite
> elements ? Would it require a lot of work to add this support ? Or is
> there a deeper reason why this was intentionally left out of the
> implementation and was written only for infinite elements alone ?

The enum LEGENDRE right now is for the radial direction in the infinite
elements, as you point out.  There is not a deeper reason other than no one
has implemented them for finite elements yet.

Adding Legendre polynomials would be pretty straightforward, though,
especially for the tensor-product elements.  See for example the QUAD and
HEX sections of the case statements in src/fe/fe_lagrange_* to get a feel
for what would be involved.

-Ben


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