A cP_n P_m scheme for DGSEM-LGL achieves m+1 convergence order via projected high-order components and a compact reconstruction operator that corrects the highest Legendre mode.
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2026 4representative citing papers
GALÆXI is a new architecture-agnostic high-order discontinuous Galerkin framework for compressible turbulent flows on multi-vendor GPU systems.
Develops energy-stable asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation via SBP operators and IMEX Runge-Kutta methods guided by relative-energy error estimates.
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
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An Architecture-Agnostic High-Order Discontinuous Galerkin Framework for Compressible Flows
GALÆXI is a new architecture-agnostic high-order discontinuous Galerkin framework for compressible turbulent flows on multi-vendor GPU systems.