Space-time FR-DG discretization delivers fully-discrete entropy stability for arbitrary quadrature, recovers DG/FR/SD schemes through correction parameter c, and shows p+1 or p convergence with up to 70% cost reduction.
Pethrick, spacetimeDG,https://github.com/cpethrick/spacetimeDG, version v0.1-alpha (2025)
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A Space-time Approach to Entropy-Stable Discontinuous Galerkin and Flux Reconstruction
Space-time FR-DG discretization delivers fully-discrete entropy stability for arbitrary quadrature, recovers DG/FR/SD schemes through correction parameter c, and shows p+1 or p convergence with up to 70% cost reduction.