Teaching
Seminars
Software
Research
Publications
2024
 Y. Pan and P.O. Persson,
Halfclosed Discontinuous Galerkin discretisations.
In review.
 F. Sapienza, J. Bolibar, F. Schäfer, B. Groenke, A. Pal, V. Boussange, P. Heimbach, G. Hooker, F. Pérez, P.O. Persson, C. Rackauckas,
Differentiable Programming for Differential Equations: A Review.
In review.
 J. Delgado, P. Koev, A. Marco, J.J. Martínez, J. M. Peña, P.O. Persson, and S. Spasov,
Accurate bidiagonal decompositions of CauchyVandermonde matrices of any rank.
Numer. Linear Algebr., accepted.
 A. Narayanan, Y. Pan and P.O. Persson,
Learning topological operations on meshes with application to block decomposition of polygons.
CAD Journal, accepted.
 Y. Pan and P.O. Persson,
A FaceUpwinded Spectral Element Method.
J. Comp. Phys., Vol. 503, 112825, 2024.
 A. Shi and P.O. Persson,
Local Element Operations for Curved Simplex Meshes.
Int. J. Numer. Methods. Eng., 125(2):e7379, 2024.
2023
 C. Traylor, M. Inalpolat, D. Willis, and P.O. Persson,
Aeroacousticsbased Structural Health Monitoring of Airfoils with Surface Damage and Acoustic DomainCoupling.
AIAA Journal, 61:11, pp. 51875190, 2023.
 M. Franco, P.O. Persson, and W. Pazner,
Iterative subregion correction preconditioners
with adaptive tolerance for problems with
geometrically localized stiffness.
Commun. Appl. Math. Comput., 2023.
 J. Delgado, P. Koev, A. Marco, J.J. Martínez, J. M. Peña, P.O. Persson, and S. Spasov,
Bidiagonal decompositions of Vandermondetype matrices of arbitrary rank.
J. Comput. Appl. Math., Vol. 426, July 2023, 115064.
 N. Wukie, K. Fidkowski, and P.O. Persson,
HighFidelity CFD Verification Workshop 2024: Mesh Motion.
Proc. of the 2023 AIAA Aerospace Sciences Meeting, January
2023. AIAA 20231243.
2022
 A. Shi, P.O. Persson, and M. Zahr,
HighOrder Implicit Shock Tracking (HOIST).
In Mesh Generation and Adaptation, SEMA SIMAI Springer Series, Vol. 30. Springer, pp. 233259.
 Y. Pan and P.O. Persson,
Highorder accurate finite difference discretisations on fully unstructured dual quadrilateral meshes.
J. Comp. Phys., Vol. 461, 111201, July 2022.
 A. Shi, P.O. Persson, and M. Zahr,
Implicit shock tracking for unsteady flows by the method of lines.
J. Comp. Phys., Vol. 454, 110906, April 2022.
 Y. Pan and P.O. Persson,
AgglomerationBased Geometric Multigrid Solvers for Compact Discontinuous Galerkin Discretizations on Unstructured Meshes.
J. Comp. Phys., Vol. 449, 110775, January 2022.
 P.O. Persson and B. Stamm,
A Discontinuous
Galerkin method for Shock Capturing using a mixed highorder and
subgrid loworder approximation space.
J. Comp. Phys., Vol. 449, 110765, January 2022.
2021
 D. Willis, A. Monteiro, P.O. Persson,
A Computational Study of LEV
development on Compliant 2D Wings using a LowFidelity FSI
model.
Proc. of 2021 AIAA AVIATION, June 2021. AIAA 20212614.
 P.O. Persson, K. Fidkowski, and N. Wukie,
HighFidelity CFD Workshop 2022: Mesh Motion.
Proc. of the 2021 AIAA Aerospace Sciences Meeting, January
2021. AIAA 20211551.
 P.O. Persson,
HighOrder Accurate Time Integration and Efficient Implicit Solvers.
In M. Kronbichler and P.O. Persson, editors, Efficient HighOrder Discretizations for Computational Fluid Dynamics, chapter 5, pages 239259. Springer, 2021.
2020
 J. Töger, M. J. Zahr, N. Aristokleous, K. Markenroth Bloch,
M. Carlsson, and P.O. Persson,
Blood flow imaging by optimal matching of computational fluid dynamics to 4Dflow data.
Magn. Reson. Med., Vol. 84, pp. 22312245, 2020.
 A. Monteiro, K. Vail, P.O. Persson, A. Jones, and D. Willis,
A Computational Study of the Impact of Fluid
Structure Interaction on the Development and
Persistence of 2D LEVs in Low Reynolds Number
Flow Applications.
Proc. of 2020 AIAA AVIATION, June 2020. AIAA 20202689.
 M. Zahr, A. Shi, and P.O. Persson,
Implicit shock tracking using an optimizationbased highorder discontinuous Galerkin method.
J. Comp. Phys., Vol. 410, 109385, June 2020.
 D. Z. Huang, W. Pazner, P.O. Persson, and M. Zahr,
Highorder partitioned spectral deferred correction solvers for multiphysics problems.
J. Comp. Phys., Vol. 412, 109441, July 2020.
 M. Zahr and P.O. Persson,
An radaptive, highorder discontinuous Galerkin method for
flows with attached shocks.
Proc. of the 2020 AIAA Aerospace Sciences Meeting, January
2020. AIAA 20200537.
2019
 D. Hermes and P.O. Persson,
Highorder Solution
Transfer between Curved Triangular Meshes.
In review.
 W. Pazner and P.O. Persson,
Analysis and entropy stability of the linebased discontinuous
Galerkin method.
J. Sci. Comput., Vol. 80, pp. 376402, 2019.
 D. Z. Huang, P.O. Persson and M. Zahr,
A highorder partitioned solver for general multiphysics
problems and its applications in optimization.
Proc. of the 2019 AIAA Aerospace Sciences Meeting, January
2019.
 W. Pazner, M. Franco and P.O. Persson
Highorder wallresolved large eddy simulation of
transonic buffet on the OAT15A airfoil.
Proc. of the 2019 AIAA Aerospace Sciences Meeting, January
2019.
 M. Franco, P.O. Persson, W. Pazner and M. Zahr,
An Adjoint Method using Fully Implicit RungeKutta
Schemes for Optimization of Flow Problems.
Proc. of the 2019 AIAA Aerospace Sciences Meeting, January
2019.
 A. Shi, P.O. Persson and M. Zahr,
An OptimizationBased Discontinuous Galerkin Approach for
HighOrder Accurate Shock Tracking with Guaranteed Mesh
Quality.
Proc. of the 2019 AIAA Aerospace Sciences Meeting, January
2019.
2018
 D. Z. Huang, P.O. Persson and M. Zahr
Highorder, linearly
stable, partitioned solvers for general multiphysics problems based
on implicitexplicit RungeKutta schemes.
Comput. Methods Appl. Mech. Engrg., Vol. 346, pp.
674706, 2019.
 M. Zahr and P.O. Persson,
An optimizationbased
approach for highorder accurate discretization of conservation laws
with discontinuous solutions.
J. Comp. Phys., Vol. 365, pp. 105134, July 2018.
 W. Pazner and P.O. Persson,
On the convergence
of iterative solvers for polygonal discontinuous Galerkin
discretizations.
Comm. App. Math. Com. Sc., Vol. 13 (1), pp. 2751, 2018.
 W. Pazner and P.O. Persson,
Approximate
tensorproduct preconditioners for very high order discontinuous
Galerkin methods.
J. Comp. Phys., Vol. 354, pp. 344369, February 2018.
 M. Zahr and P.O. Persson,
An Optimization
Based Discontinuous Galerkin Approach for HighOrder Accurate Shock
Tracking.
Proc. of the 2018 AIAA Aerospace Sciences Meeting, January
2018.
 W. Pazner and P.O. Persson,
Interior penalty
tensorproduct preconditioners for highorder discontinuous Galerkin
discretizations.
Proc. of the 2018 AIAA Aerospace Sciences Meeting, January
2018.
 S. Kanner and P.O. Persson,
Validation of HighOrder
WallResolved LargeEddy Simulation of VerticalAxis Wind
Turbines.
Proc. of the 2018 AIAA SciTech Wind Energy Symposium,
January 2018.
2017
2016
 J. Suckale, T. Keller, K. V. Cashman and P.O. Persson,
Flowtofracture
transition in a volcanic mush plug may govern normal eruptions at
Stromboli.
Geophys. Res. Lett., Vol. 43, Issue 23, pp. 12,07112,081,
December 2016.
 M. Zahr and P.O. Persson,
An Adjoint Method for
a HighOrder Discretization of Deforming Domain Conservation Laws for
Optimization of Flow Problems.
J. Comp. Phys., Vol. 326, pp. 516543, December 2016.
 M. Zahr, P.O. Persson, and J. Wilkening,
A fully discrete
adjoint method for optimization of flow problems on deforming domains
with timeperiodicity constraints.
Comput. & Fluids, Vol. 139, pp. 130147, November 2016.
 M. Fortunato and P.O. Persson,
Highorder unstructured
curved mesh generation using the Winslow equations.
J. Comp. Phys., Vol. 307, pp. 114, 2016.
 S. Kanner and P.O. Persson,
Validation of a HighOrder
LargeEddy Simulation Solver Using a VerticalAxis Wind
Turbine.
AIAA J., Vol. 54, No. 1, pp. 101112, 2016.
 M. Zahr and P.O. Persson,
HighOrder,
TimeDependent Aerodynamic Optimization using a Discontinuous
Galerkin Discretization of the NavierStokes Equations.
Proc. of the 54th AIAA Aerospace Sciences Meeting, January
2016. AIAA20160064.
 S. Kanner, L. Wang and P.O. Persson,
Implicit LargeEddy
Simulations of 2D CounterRotating VerticalAxis Wind
Turbines.
Proc. of the AIAA SciTech 34th Wind Energy Symposium,
January 2016. AIAA20161731.
2015
 L. Wang and P.O. Persson,
A highorder discontinuous
Galerkin method with unstructured spacetime meshes for
twodimensional compressible flows on domains with large
deformations.
Comput. & Fluids, Vol. 118, pp. 5368, September 2015.
 B. Froehle and P.O. Persson,
Nonlinear Elasticity for
Mesh Deformation with HighOrder Discontinuous Galerkin Methods for
the NavierStokes Equations on Deforming Domains.
In Spectral and High Order Methods for Partial Differential
Equations ICOSAHOM 2014, Vol. 106, pp. 7385, 2015.
 L. Wang and P.O. Persson,
Highorder Discontinuous
Galerkin Simulations on Moving Domains using an ALE Formulation and
Local Remeshing with Projections.
Proc. of the 53rd AIAA Aerospace Sciences Meeting, January
2015. AIAA20150820.
 S. Kanner and P.O. Persson,
Magnitude and Frequency of
Forces on a LowReynolds VAWT Airfoil Using HighOrder
LES.
Proc. of the AIAA SciTech 33rd Wind Energy Symposium,
January 2015. AIAA20150218.
2014
 B. Froehle and P.O. Persson,
A highorder discontinuous
Galerkin method for fluidstructure interaction with efficient
implicitexplicit time stepping.
J. Comp. Phys., Vol. 272, pp. 455470, September 2014.
 D. Schmicker, P.O. Persson, J. Strackeljan,
Implicit
Geometry Meshing for the simulation of Rotary Friction
Welding.
J. Comp. Phys., Vol. 270, pp. 478489, August 2014.
 B. Froehle and P.O. Persson,
HighOrder Accurate
FluidStructure Simulation of a Tuning Fork.
Comput. & Fluids, Vol. 98, pp. 230238, July 2014.
 D. Willis and P.O. Persson,
A Multiple
Fidelity Computational Framework for the Design of Efficient Flapping
Wings.
AIAA Journal, Vol. 52, No. 12, pp. 28402854, July 2014.
 K. Sagiyama, S. Govindjee, P.O. Persson,
An efficient timedomain perfectly
matched layers formulation for elastodynamics on spherical
domains.
Int. J. Num. Meth. Engrg., Vol. 100, No. 6, pp. 419441,
July 2014.
 A. Edelman, P.O. Persson, B. D. Sutton,
Lowtemperature
random matrix theory at the soft edge.
J. of Math. Phys., Vol. 55 (6), 063302, June 2014.
2013
 Z.J. Wang et al,
HighOrder CFD Methods:
Current Status and Perspective.
Int. J. Num. Meth. Fluids, Vol. 72 (8), pp. 811845, July
2013.
 P.O. Persson,
A Sparse and HighOrder Accurate
LineBased Discontinuous Galerkin Method for Unstructured
Meshes.
J. Comp. Phys., Vol. 233, pp. 414429, Jan 2013.
 B. Froehle and P.O. Persson,
A highorder implicitexplicit
fluidstructure interaction method for flapping flight.
Proc. of the 21th AIAA Computational Fluid Dynamics
Conference, June 2013. AIAA20132690.
 L. Wang and P.O. Persson,
A discontinuous Galerkin method
for the NavierStokes equations on deforming domains using
unstructured moving spacetime meshes.
Proc. of the 21th AIAA Computational Fluid Dynamics
Conference, June 2013. AIAA20132833.
 D. Willis and P.O. Persson,
Generating LEVs on energetically
optimal, flapping wing designs by modulating leading edge
angle.
Proc. of the 31th AIAA Applied Aerodynamics Conference, June
2013. AIAA20132666.
 M. H. Zahr and P.O. Persson,
Performance tuning of NewtonGMRES
methods for discontinuous Galerkin discretizations of the
NavierStokes equations.
Proc. of the 21th AIAA Computational Fluid Dynamics
Conference, June 2013. AIAA20132685.
 P.O. Persson,
Shock capturing for
highorder discontinuous Galerkin simulation of transient flow
problems.
Proc. of the 21th AIAA Computational Fluid Dynamics
Conference, June 2013. AIAA20133061.
2012
2011
 P.O. Persson, D. Willis, and J. Peraire,
Numerical Simulation of
Flapping Wings using a Panel Method and a HighOrder NavierStokes
Solver.
Int. J. Num. Meth. Engrg., Vol. 89, No. 10, pp. 12961316,
2011.
 A. Uranga, P.O. Persson, M. Drela, and J. Peraire,
Implicit
Large Eddy Simulation of transition to turbulence at low Reynolds
numbers using a Discontinuous Galerkin method.
Int. J. Num. Meth. Engrg., Vol. 87, No. 15, pp. 232261,
2011.
 J. Peraire and P.O. Persson,
HighOrder
Discontinuous Galerkin Methods for CFD.
In Adaptive HighOrder Methods in Computational Fluid
Dynamics, World Scientific series in Advances in Computational
Fluid Dynamics, Vol. 2, pp. 119152.
 A. Uranga, P.O. Persson, M. Drela, and J. Peraire,
Preliminary Investigation Into
the Effects of CrossFlow on Low Reynolds Number
Transition.
Proc. of the 20th AIAA Computational Fluid Dynamics
Conference, June 2011.
 P.O. Persson,
HighOrder LES Simulations using
ImplicitExplicit RungeKutta Schemes.
Proc. of the 49th AIAA Aerospace Sciences Meeting and
Exhibit, January 2011. AIAA2011684.
 P.O. Persson and D. J. Willis,
High Fidelity Simulations of
Flapping Wings Designed for Energetically Optimal Flight.
Proc. of the 49th AIAA Aerospace Sciences Meeting and
Exhibit, January 2011. AIAA2011568.
2010
 A. Bassa et al,
Partitioning a Planar Graph of Girth 10 into a Forest and a
Matching.
Studies in Appl. Math., Vol. 124 (3), pp. 213228, Apr 2010.
 V.T. Nguyen, J. Peraire, K. B. Cheong, P.O. Persson,
A Discontinuous Galerkin Front
Tracking Method for TwoPhase Flows with Surface Tension.
Comput. & Fluids, Vol. 39, No. 1, pp. 114, 2010.
 P.O. Persson, D. J. Willis, J. Peraire,
The Numerical Simulation of
Flapping Wings at Low Reynolds Numbers.
Proc. of the 48th AIAA Aerospace Sciences Meeting and
Exhibit, January 2010. AIAA2010724.
2009
 P.O. Persson, J. Bonet, and J. Peraire,
Discontinuous Galerkin Solution of
the NavierStokes Equations on Deformable Domains.
Comput. Methods Appl. Mech. Engrg., Vol. 198, No. 1720, pp.
15851595, 2009.
 A. Uranga, P.O. Persson, M. Drela, and J. Peraire,
Implicit Large Eddy Simulation of
Transitional Flows Over Airfoils and Wings.
Proc. of the 19th AIAA Computational Fluid Dynamics
Conference, June 2009. AIAA20094131.
 P.O. Persson, J. Peraire,
Curved Mesh Generation and Mesh
Refinement using Lagrangian Solid Mechanics.
Proc. of the 47th AIAA Aerospace Sciences Meeting and
Exhibit, January 2009. AIAA2009949.
 P.O. Persson,
Scalable Parallel
NewtonKrylov Solvers for Discontinuous Galerkin
Discretizations.
Proc. of the 47th AIAA Aerospace Sciences Meeting and
Exhibit, January 2009. AIAA2009606.
2008
 P.O. Persson and J. Peraire,
NewtonGMRES preconditioning
for Discontinuous Galerkin Discretizations of the NavierStokes
Equations.
SIAM J. Sci. Comput., Vol. 30, No. 6, pp. 27092733,
2008.
 J. Peraire and P.O. Persson,
The Compact Discontinuous Galerkin
(CDG) Method for Elliptic Problems.
SIAM J. Sci. Comput., Vol. 30, No. 4, pp. 18061824,
2008.
 D. Willis, E. Israeli, P.O. Persson, M. Drela, and J. Peraire,
Multifidelity Approaches
for the Computational Analysis and Design of Effective Flapping Wing
Vehicles.
Proc. of the 46th AIAA Aerospace Sciences Meeting and
Exhibit, January 2008. AIAA2008518.
2007
 P.O. Persson, J. Peraire, J. Bonet,
A High Order Discontinuous
Galerkin Method for FluidStructure Interaction.
Proc. of the 18th AIAA Computational Fluid Dynamics
Conference, June 2007. AIAA20074327.
 D. Willis, E. Israeli, P.O. Persson, M. Drela, J. Peraire, K.
Breuer,
A Computational Framework for
Fluid Structure Interaction in BiologicallyInspired Flapping
Flight.
Proc. of the 25th AIAA Applied Aerodynamics Conference, June
2007. AIAA20073803.
 P.O. Persson, J. Peraire, J. Bonet,
Discontinuous Galerkin
Solution of the NavierStokes Equations on Deformable
Domains.
Proc. of the 45th AIAA Aerospace Sciences Meeting and
Exhibit, January 2007. AIAA2007513.
 N.C. Nguyen, P.O. Persson, J. Peraire,
RANS Solutions Using High Order
Discontinuous Galerkin Methods.
Proc. of the 45th AIAA Aerospace Sciences Meeting and
Exhibit, January 2007. AIAA2007914.
2006
 P.O. Persson,
Mesh Size Functions for
Implicit Geometries and PDEBased Gradient Limiting.
Engineering with Computers, Vol. 22 (2), pp. 95109,
2006.
 P.O. Persson, M. J. Aftosmis, R. Haimes,
On The Use of Loop Subdivision
Surfaces for Surrogate Geometry.
Proc. of the 15th Int. Meshing Roundtable, pp. 375392,
Sandia Nat. Lab., 2006.
 P.O. Persson, J. Peraire,
SubCell Shock Capturing for
Discontinuous Galerkin Methods.
Proc. of the 44th AIAA Aerospace Sciences Meeting and
Exhibit, January 2006. AIAA2006112.
 P.O. Persson, J. Peraire,
An Efficient Low Memory
Implicit DG Algorithm for Time Dependent Problems.
Proc. of the 44th AIAA Aerospace Sciences Meeting and
Exhibit, January 2006. AIAA2006113.
2005 and earlier
 E. D. Demaine, M. L. Demaine, A. Edelman, C. E. Leiserson, P.O.
Persson,
Building Blocks and Excluded
Sums.
SIAM News, Vol. 38 (1), January 2005.
 P.O. Persson,
Size Functions and Mesh
Generation for HighQuality Adaptive Remeshing.
Proc. of the 3rd MIT Conference on Computational Fluid and Solid
Mechanics, June 2005.
 M. Grinfeld, P. Grinfeld, H. Kojima, J. Little, R. Masutomi, P.O.
Persson, T. Zheleva,
The Stress Driven
Rearrangement Instabilities in Electronic Materials and in Helium
Crystals.
Proc. of the 2004 MRS Fall Meeting, November 2004.
 G. Strang, P.O. Persson,
Circuit Simulation and Moving
Mesh Generation.
Proc. of Int. Symp. on Comm. and Inform. Tech. 2004 (ISCIT
2004), October 2004.
 P.O. Persson,
PDEBased Gradient Limiting for
Mesh Size Functions.
Proc. of the 13th Int. Meshing Roundtable, pp. 377387,
Sandia Nat. Lab., August 2004.
 P.O. Persson, G. Strang,
A Simple Mesh Generator in
MATLAB.
SIAM Review, Vol. 46 (2), pp. 329345, June 2004.
 P.O. Persson, G. Strang,
Smoothing by SavitzkyGolay
and Legendre filters.
In IMA Volume on Math. Systems Theory in Biology, Comm., Comp.,
and Finance, Vol. 134, pp. 301316, 2003.
 P.O. Persson, O. Runborg,
Simulation of a Waveguide
Filter Using WaveletBased Numerical Homogenization.
J. Comp. Phys., 166, pp. 361382, 2001.
Theses:
