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math.NA2026
Transport Polynomial Exactness for Direct ALE-DG Methods with Nonsmooth mesh motion: A Conservative Coefficient-Evolution Framework
Qiqin Cheng, Chaoyi Cai, Jianxian Qiu
High-order direct arbitrary Lagrangian--Eulerian discontinuous Galerkin (ALE-DG) methods can suffer severe order reduction under nonsmooth mesh motion despite satisfying the geomet…
math.NA2026
Beyond Free-Stream Preservation: Transport Polynomial Exactness for Moving-Mesh Methods under Arbitrary Mesh Motion
Chaoyi Cai, Qiqin Cheng, Di Wu +1
High-order moving-mesh methods can effectively reduce numerical diffusion, but their formal accuracy typically relies on the regularity of the mesh velocity. This dependency create…