2 citations · 3 across the 8 of their papers we have counts for
8 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…
Gravitational Wave with Domain Wall Dominance
Sungwoo Hong, Sung Mook Lee, Qiuyue Liang
Domain walls (DWs) can be produced when a discrete symmetry is spontaneously broken, and long-lived DWs can dominate the energy density of the universe. In this work, we explore th…
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…
Learning topological operations on meshes with application to block decomposition of polygons
Arjun Narayanan, Yulong Pan, Per-Olof Persson
We present a learning based framework for mesh quality improvement on unstructured triangular and quadrilateral meshes. Our model learns to improve mesh quality according to a pres…
A Face-Upwinded Spectral Element Method
Yulong Pan, Per-Olof Persson
We present a new high-order accurate discretisation on unstructured meshes of quadrilateral elements. Our Face Upwinded Spectral Element (FUSE) method uses the same node distributi…
High-order accurate finite difference discretisations on fully unstructured dual quadrilateral meshes
Yulong Pan, Per-Olof Persson
We present a novel approach for high-order accurate numerical differentiation on unstructured meshes of quadrilateral elements. To differentiate a given function, an auxiliary func…
Agglomeration-Based Geometric Multigrid Solvers for Compact Discontinuous Galerkin Discretizations on Unstructured Meshes
Yulong Pan, Per-Olof Persson
We present a geometric multigrid solver for the Compact Discontinuous Galerkin method through building a hierarchy of coarser meshes using a simple agglomeration method which handl…