2 papers
math.NA2026
A Space-time Approach to Entropy-Stable Discontinuous Galerkin and Flux Reconstruction
Carolyn M. V. Pethrick, Siva Nadarajah
We present a high-order space-time discretization equipped with fully-discrete entropy stability properties for general choices of volume and surface quadrature rules. The formulat…
math.NA2024
Fully-Discretely Nonlinearly-Stable Flux Reconstruction Methods for Compressible Flows
Carolyn M V Pethrick, Siva Nadarajah
A fully-discrete, nonlinearly-stable flux reconstruction (FD-NSFR) scheme is developed, which ensures robustness through entropy stability in both space and time for high-order flu…