Skip to main content

Table 3 Number of rules, \(N_r\), discovered at each polynomial order, \(\wp \), and the associated quadrature strengths, \(\varphi \)

From: An Analysis of Solution Point Coordinates for Flux Reconstruction Schemes on Triangular Elements

\(\wp \) 3 4 5 5 6 6 7
\(\varphi \) 5 7 8 9 10 11 12
\(\varphi ^{+}\) 6 9 10 10 12 12 14
\(N_r\) 95 66 722 473 412 12 136
\(N_r(\det \mathcal {V} \ne 0)\) 24 64 452 2 236 0 100
  1. The basis order used for computing the truncation error is indicated by \(\varphi ^{+}\). Only rules with \(\det \mathcal {V} \ne 0\) are viable solution point candidates