NodesAndModes.Tri

equi_nodes(N)

Computes equally spaced nodes of degree N.

grad_vandermonde(N,r)

Computes the generalized Vandermonde derivative matrix V of degree N at points r. Specialized for the 1D case

grad_vandermonde(N,rst...)

Computes the generalized Vandermonde derivative matrix V of degree N at points (r,s,t).

nodes(N)

Computes interpolation nodes of degree N. Edge nodes coincide with (N+1)-point Lobatto points.

rstoab(r, s)

Converts from reference bi-unit right triangle coordinate (r,s) to polynomial basis evaluation coordinates (a,b) on the domain [-1,1]^2

simplex_2D(a, b, i, j)

Evaluate 2D PKDO basis phi_ij at points (a,b) on the Duffy domain [-1,1]^2

stroud_quad_nodes(N)

Returns Stroud-type quadrature nodes constructed from the tensor product of (N+1)-point Gauss-Jacobi rules. Exact for degree 2N polynomials

vandermonde(N,r)

Computes the generalized Vandermonde matrix V of degree N at point r. Specialized for the 1D case

vandermonde(N,rst...)

Computes the generalized Vandermonde matrix V of degree N at points (r,s,t).