4 papers
Fast adaptive discontinuous basis sets for electronic structure
Yulong Pan, Michael Lindsey
We develop a discontinuous Galerkin (DG) framework for automatically constructing adaptive basis sets for electronic structure calculations. By allowing basis functions to be disco…
Geometric adaptive smoothed aggregation multigrid for discontinuous Galerkin discretisations
Yulong Pan, Michael Lindsey, Per-Olof Persson
We present a geometric multigrid solver based on adaptive smoothed aggregation suitable for Discontinuous Galerkin (DG) discretisations. Mesh hierarchies are formed via domain deco…
Optimization of a Triangular Delaunay Mesh Generator using Reinforcement Learning
Will Thacher, Per-Olof Persson, Yulong Pan
In this work we introduce a triangular Delaunay mesh generator that can be trained using reinforcement learning to maximize a given mesh quality metric. Our mesh generator consists…
Half-closed discontinuous Galerkin discretisations
Yulong Pan, Per-Olof Persson
We introduce the concept of half-closed nodes for nodal discontinuous Galerkin (DG) discretisations. Unlike more commonly used closed nodes in DG, where on every element nodes are…