One Fewer Quadrature Point and the Solution Blew Up — DG's Integration Floor and the Taylor Basis
·8 min read
The minimum number of Gauss points in a DG cell integral is set by the degree of the integrand, not by the mesh. Going from three points to two changes nothing; going to one destroys the scheme.
Discontinuous Galerkin Method (DGM): High-Precision Discretization for Unstructured Grid Compressible Flow Analysis
·4 min read
Step-by-step summary from DGM weak form derivation to Gauss quadrature and unstructured grid implementation.