[petsc-users] mathematics formula of DMPlexProjectFunction

[Jed Brown]

Fande Kong <fdkong.jd at gmail.com> writes:

> Jed, Thanks.
>
> It means that the inner product against basis "n_i" is just the function
> value at the point "x_i" if the function is sufficiently regular, e.g.,
> sin(x) or cos(x).

Yes.

> The basis function at x_i is "x-x_i" which is not the one we use
> to discretize the equations?

The *dual basis* function in that case is \delta(x-x_i), the Dirac delta
function.
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