3 papers
cs.MS2026
JetSCI: A Hybrid JAX-PETSc Framework for Scalable Differentiable Simulation
Alberto Cattaneo, M Keith Ballard, Robert M. Kirby +1
The rapid rise of scientific machine learning (SciML) has expanded the role of differentiable modeling, surrogate modeling, and data-driven constitutive laws in large-scale simulat…
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…