2 papers
math.NA2024
Mixed-precision finite element kernels and assembly: Rounding error analysis and hardware acceleration
M. Croci, G. N. Wells
In this paper we develop the first fine-grained rounding error analysis of finite element (FE) cell kernels and assembly. The theory includes mixed-precision implementations and ac…
cs.CE2024
Multigrid on unstructured meshes with regions of low quality cells
Yuxuan Chen, Garth N. Wells
The convergence of multigrid methods degrades significantly if a small number of low quality cells are present in a finite element mesh, and this can be a barrier to the efficient…