2 citations · 3 across the 8 of their papers we have counts for
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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…
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…
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…