Smoothing by Savitzky-Golay and Legendre Filters. - Per-Olof Persson; Gilbert Strang (Mathematical Systems Theory in Biology, Communications, Computation, and Finance, 2003)

PDE-Based Gradient Limiting for Mesh Size Functions. - Per-Olof Persson (IMR, 2004)

A Simple Mesh Generator in MATLAB. - Per-Olof Persson; Gilbert Strang (SIAM Rev., 2004)

On the Use of Loop Subdivision Surfaces for Surrogate Geometry. - Per-Olof Persson; Michael J. Aftosmis; Robert Haimes (IMR, 2006)

Mesh size functions for implicit geometries and PDE-based gradient limiting. - Per-Olof Persson (Eng. Comput., 2006)

The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems. - Jaime Peraire; Per-Olof Persson (SIAM J. Sci. Comput., 2008)

Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations. - Per-Olof Persson; Jaime Peraire (SIAM J. Sci. Comput., 2008)

A time-domain Discontinuous Galerkin method for mechanical resonator quality factor computations. - Sanjay Govindjee; Per-Olof Persson (J. Comput. Phys., 2012)

A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes. - Per-Olof Persson (J. Comput. Phys., 2013)

A high-order discontinuous Galerkin method for fluid-structure interaction with efficient implicit-explicit time stepping. - Bradley Froehle; Per-Olof Persson (J. Comput. Phys., 2014)

Implicit Geometry Meshing for the simulation of Rotary Friction Welding. - David Schmicker; Per-Olof Persson; Jens Strackeljan (J. Comput. Phys., 2014)

23rd International Meshing Roundtable - Mesh modeling for simulations and visualization. - Matthew L. Staten; Per-Olof Persson; Nikos Chrisochoides; Franck Ledoux; David Martineau; Katherine Lewis; Scott A. Canann; Jean-François Remacle; Xiaohua Wu; Kathy Loeppky (Comput. Aided Des., 2016)

High-order unstructured curved mesh generation using the Winslow equations. - Meire Fortunato; Per-Olof Persson (J. Comput. Phys., 2016)

An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems. - Matthew J. Zahr; Per-Olof Persson (J. Comput. Phys., 2016)

Stage-parallel fully implicit Runge-Kutta solvers for discontinuous Galerkin fluid simulations. - Will Pazner; Per-Olof Persson (J. Comput. Phys., 2017)

Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods. - Will Pazner; Per-Olof Persson (J. Comput. Phys., 2018)

An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions. - Matthew J. Zahr; Per-Olof Persson (J. Comput. Phys., 2018)

Implicit shock tracking using an optimization-based, r-adaptive, high-order discontinuous Galerkin method. - Matthew J. Zahr; Andrew Shi; Per-Olof Persson (CoRR, 2019)

Analysis and Entropy Stability of the Line-Based Discontinuous Galerkin Method. - Will Pazner; Per-Olof Persson (J. Sci. Comput., 2019)

High-order partitioned spectral deferred correction solvers for multiphysics problems. - Daniel Zhengyu Huang; Will Pazner; Per-Olof Persson; Matthew J. Zahr (J. Comput. Phys., 2020)

Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method. - Matthew J. Zahr; Andrew Shi; Per-Olof Persson (J. Comput. Phys., 2020)

Agglomeration-based geometric multigrid solvers for compact discontinuous Galerkin discretizations on unstructured meshes. - Yulong Pan; Per-Olof Persson (J. Comput. Phys., 2022)

High-order accurate finite difference discretisations on fully unstructured dual quadrilateral meshes. - Yulong Pan; Per-Olof Persson (J. Comput. Phys., 2022)

A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space. - Per-Olof Persson; Benjamin Stamm (J. Comput. Phys., 2022)

Implicit shock tracking for unsteady flows by the method of lines. - Andrew Shi; Per-Olof Persson; Matthew J. Zahr (J. Comput. Phys., 2022)

Local Element Operations for Curved Simplex Meshes. - Andrew Shi; Per-Olof Persson (CoRR, 2023)

Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank. - Jorge Delgado 001; Plamen Koev; Ana Marco; José-Javier Martínez 001; Juan Manuel Peña 001; Per-Olof Persson; Steven Spasov (J. Comput. Appl. Math., 2023)

Learning Topological Operations on Meshes with Application to Block Decomposition of Polygons. - Arjun Narayanan; Yulong Pan; Per-Olof Persson (Comput. Aided Des., 2024)

Half-closed Discontinuous Galerkin discretisations. - Yulong Pan; Per-Olof Persson (CoRR, 2024)

Differentiable Programming for Differential Equations: A Review. - Facundo Sapienza; Jordi Bolibar; Frank Schäfer; Brian Groenke; Avik Pal; Victor Boussange; Patrick Heimbach; Giles Hooker; Fernando Pérez; Per-Olof Persson; Christopher Rackauckas (CoRR, 2024)

A face-upwinded spectral element method. - Yulong Pan; Per-Olof Persson (J. Comput. Phys., 2024)

Accurate bidiagonal decompositions of Cauchy-Vandermonde matrices of any rank. - Jorge Delgado 001; Plamen Koev; Ana Marco; José-Javier Martínez 001; Juan Manuel Peña 001; Per-Olof Persson; Steven Spasov (Numer. Linear Algebra Appl., 2024)

Half-closed discontinuous Galerkin discretisations. - Y. Pan; Per-Olof Persson (J. Comput. Phys., 2025)

Optimization of a Triangular Delaunay Mesh Generator using Reinforcement Learning. - Will Thacher; Per-Olof Persson; Yulong Pan (CoRR, 2025)

Geometric adaptive smoothed aggregation multigrid for discontinuous Galerkin discretisations. - Yulong Pan; Michael Lindsey; Per-Olof Persson (CoRR, 2025)