From d31904eaada30fd2322de1ee24bf84f6ed4e604d Mon Sep 17 00:00:00 2001 From: Jesse Chan <1156048+jlchan@users.noreply.github.com> Date: Thu, 25 Apr 2024 17:14:17 -0500 Subject: [PATCH] Update RefElemData.md with VDM def --- docs/src/RefElemData.md | 1 + 1 file changed, 1 insertion(+) diff --git a/docs/src/RefElemData.md b/docs/src/RefElemData.md index ab997da2..f18dd09e 100644 --- a/docs/src/RefElemData.md +++ b/docs/src/RefElemData.md @@ -6,6 +6,7 @@ * `Nfaces`: number of faces on a given type of reference element. * `fv`: list of vertices defining faces, e.g., `[1,2], [2,3], [3,1]` for a triangle * `Fmask`: indices of interpolation nodes which lie on the faces +* `VDM`: the generalized Vandermonde matrix, a square matrix whose columns are ``V_{ij} = \phi_{j}(x_i}``, where ``\phi_j`` are orthonormal basis functions and ``x_i`` are interpolation points. * `rst::NTuple{Dim, ...}`: tuple of vectors of length `N_p`, each of which contains coordinates of degree ``N`` optimized polynomial interpolation points. * `rstq::NTuple{Dim, ...}`,`wq`, `Vq`: tuple of volume quadrature points, vector of weights, and quadrature interpolation matrix. Each element of `rstq` and `wq` are vectors of length ``N_q``, and `Vq` is a matrix of size ``N_q \times N_p``. * `N_{\rm plot}`: the degree which determines the number of plotting points ``N_{p,{\rm plot}}``.