88 citations · 470 across the 21 of their papers we have counts for
22 papers
Local Element Operations for Curved Simplex Meshes
Andrew Shi, Per-Olof Persson
Mesh optimization procedures are generally a combination of node smoothing and discrete operations which affect a small number of elements to improve the quality of the overall mes…
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…
Bidiagonal Decompositions of Vandermonde-Type Matrices of Arbitrary Rank
Jorge Delgado, Plamen Koev, Ana Marco +4
We present a method to derive new explicit expressions for bidiagonal decompositions of Vandermonde and related matrices such as the (q-, h-) Bernstein-Vandermonde ones, among othe…
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…
Implicit shock tracking for unsteady flows by the method of lines
Andrew Shi, Per-Olof Persson, Matthew Zahr
A recently developed high-order implicit shock tracking (HOIST) framework for resolving discontinuous solutions of inviscid, steady conservation laws [41, 43] is extended to the un…
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…