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math.NA2026
An energy-based discontinuous Galerkin method for wave equations on complex geometric domains
Yangxin Fu, Yan Jiang, Siyang Wang +1
This paper develops a high-order cut energy-based discontinuous Galerkin (CutEDG) method for second-order acoustic wave equations on complex domains and across stationary material…
math.NA2026
A Fully Discrete Energy-Based Discontinuous Galerkin Method for Variable-Order Time-Fractional Wave Equations
Lu Zhang
Variable-order time-fractional wave equations provide a flexible model for wave phenomena with evolving memory effects and anomalous temporal dynamics. Their numerical approximatio…