One Fewer Quadrature Point and the Solution Blew Up — DG's Integration Floor and the Taylor Basis
·9 min read
For DG-P2 the volume integrand has degree 3, so two Gauss points match three points at 5.989e-3. One point leaves L2 error near 11.7 and order 0.13.
[Paper Review] When WENO Smears Small Eddies — Fu (2019) Low-Dissipation TENO Finite-Volume Scheme
·6 min read
A 10 percent bump in one smoothness indicator already shifts WENO-JS weights. TENO's 0/1 cutoff does not flip, so the fifth-order linear stencil stays on.
Discontinuous Galerkin Method (DGM): High-Precision Discretization for Unstructured Grid Compressible Flow Analysis
·4 min read
In 3D the degrees of freedom at K = 1, 2, 3 are 4, 10, and 20. Halving the mesh spacing should cut the error by 4, 8, and 16, not by 2.