145 citations · 247 across the 18 of their papers we have counts for
5 papers · 1 filter
Low-Order Refined Preconditioning for Spectral/hp Element Method for Complex, 3D Geometries
Parv Khurana, Henrik Wüstenberg, Spencer J. Sherwin +3
Low-order refined (LOR) preconditioning replaces a high-order operator with a low-order discretisation on a refined nodal mesh. For tensor-product elements, the two operators are s…
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,…
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…
Fast Barycentric-Based Evaluation Over Spectral/hp Elements
Edward Laughton, Vidhi Zala, Akil Narayan +2
As the use of spectral/ element methods, and high-order finite element methods in general, continues to spread, community efforts to create efficient, optimized algorithms asso…
A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods
Edward Laughton, Gavin Tabor, David Moxey
The capability to incorporate moving geometric features within models for complex simulations is a common requirement in many fields. Fluid mechanics within aeronautical applicatio…