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adaptive mesh refinement 1convex limiting 1discontinuous galerkin 1hyperbolic conservation laws 1invariant domain preserving 1spectral element methods 1

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math.NA2026

Invariant-domain-preserving limiting with Adaptive Mesh Refinement for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods

Benjamin Bolm, Andrés M. Rueda-Ramírez, Dmitri Kuzmin +1

The paper introduces an invariant‑domain‑preserving limiting technique for high‑order Legendre‑Gauss‑Lobatto discontinuous Galerkin spectral element methods with adaptive mesh refi…