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math.NA2026
Architecture-aware -to- optimisation: spectral/ element operators for mixed-element meshes
Jacques Y. Xing, Boyang Xia, Diego Renner +4
We extend earlier international efforts to optimise hexahedral-based spectral element methods on GPUs and vectorised CPUs to mixed element meshes additionally involving prismatic,…
math.NA2025
A geometrically informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
Songzhe Xu, Majid Rasouli, Robert M. Kirby +2
Algebraic multigrid (AMG) is conventionally applied in a black-box fashion, agnostic to the underlying geometry. In this work, we propose that using geometric information -- when a…