Per-Olof Persson Professor Department of Mathematics University of California, Berkeley Mathematician Faculty Senior Scientist Lawrence Berkeley National Laboratory E-mail: persson@berkeley.edu Office: 1081 Evans Hall (map) Fax: (510) 642-8204

Teaching

• Fall 2024 - No teaching

Seminars

• Here is a recent talk on Performance Study of High-Level Programming Languages for Scientific Computing.
• The Applied Mathematics Seminar, UC Berkeley / Lawrence Berkeley National Laboratory.

Software

• DistMesh - A Simple Mesh Generator in MATLAB
• Educational MATLAB codes

Research

• Recent overview presentation: High-Order Methods for Turbulent Flow Simulations on Deforming Domains, RWTH Aachen, December 2016
• Some movies from my research
• Short descriptions of some previous research projects (-2011)

Publications

2024

• Y. Pan and P.-O. Persson,
  Half-closed 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.
• D. Hermes and P.-O. Persson,
  High-order Solution Transfer between Curved Triangular Meshes.
  Comm. App. Math. Com. Sc., accepted.
  
• J. Delgado, P. Koev, A. Marco, J.-J. Martínez, J. M. Peña, P.-O. Persson, and S. Spasov,
  Accurate bidiagonal decompositions of Cauchy-Vandermonde matrices of any rank.
  Numer. Linear Algebra Appl., 2024; 31(6):e2579.
  
• A. Narayanan, Y. Pan and P.-O. Persson,
  Learning topological operations on meshes with application to block decomposition of polygons.
  Computer-Aided Design, Vol. 175, pp. 103744, 2024.
• Y. Pan and P.-O. Persson,
  A Face-Upwinded 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,
  Aeroacoustics-based Structural Health Monitoring of Airfoils with Surface Damage and Acoustic Domain-Coupling.
  AIAA Journal, 61:11, pp. 5187-5190, 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 Vandermonde-type matrices of arbitrary rank.
  J. Comput. Appl. Math., Vol. 426, July 2023, 115064.
  
• N. Wukie, K. Fidkowski, and P.-O. Persson,
  High-Fidelity CFD Verification Workshop 2024: Mesh Motion.
  Proc. of the 2023 AIAA Aerospace Sciences Meeting, January 2023. AIAA 2023-1243.
  

2022

• A. Shi, P.-O. Persson, and M. Zahr,
  High-Order Implicit Shock Tracking (HOIST).
  In Mesh Generation and Adaptation, SEMA SIMAI Springer Series, Vol. 30. Springer, pp. 233-259.
  
• Y. Pan and P.-O. Persson,
  High-order 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,
  Agglomeration-Based 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 high-order and sub-grid low-order 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 Low-Fidelity FSI model.
  Proc. of 2021 AIAA AVIATION, June 2021. AIAA 2021-2614.
  
• P.-O. Persson, K. Fidkowski, and N. Wukie,
  High-Fidelity CFD Workshop 2022: Mesh Motion.
  Proc. of the 2021 AIAA Aerospace Sciences Meeting, January 2021. AIAA 2021-1551.
  
• P.-O. Persson,
  High-Order Accurate Time Integration and Efficient Implicit Solvers.
  In M. Kronbichler and P.-O. Persson, editors, Efficient High-Order Discretizations for Computational Fluid Dynamics, chapter 5, pages 239-259. 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 4D-flow data.
  Magn. Reson. Med., Vol. 84, pp. 2231-2245, 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 2020-2689.
  
• M. Zahr, A. Shi, and P.-O. Persson,
  Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method.
  J. Comp. Phys., Vol. 410, 109385, June 2020.
• D. Z. Huang, W. Pazner, P.-O. Persson, and M. Zahr,
  High-order partitioned spectral deferred correction solvers for multiphysics problems.
  J. Comp. Phys., Vol. 412, 109441, July 2020.
• M. Zahr and P.-O. Persson,
  An r-adaptive, high-order discontinuous Galerkin method for flows with attached shocks.
  Proc. of the 2020 AIAA Aerospace Sciences Meeting, January 2020. AIAA 2020-0537.

2019

• W. Pazner and P.-O. Persson,
  Analysis and entropy stability of the line-based discontinuous Galerkin method.
  J. Sci. Comput., Vol. 80, pp. 376-402, 2019.
  
• D. Z. Huang, P.-O. Persson and M. Zahr,
  A high-order 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
  High-order wall-resolved 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 Runge-Kutta 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 Optimization-Based Discontinuous Galerkin Approach for High-Order 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
  High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit-explicit Runge-Kutta schemes.
  Comput. Methods Appl. Mech. Engrg., Vol. 346, pp. 674-706, 2019.
  
• M. Zahr and P.-O. Persson,
  An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions.
  J. Comp. Phys., Vol. 365, pp. 105-134, 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. 27-51, 2018.
• W. Pazner and P.-O. Persson,
  Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods.
  J. Comp. Phys., Vol. 354, pp. 344-369, February 2018.
• M. Zahr and P.-O. Persson,
  An Optimization Based Discontinuous Galerkin Approach for High-Order Accurate Shock Tracking.
  Proc. of the 2018 AIAA Aerospace Sciences Meeting, January 2018.
  
• W. Pazner and P.-O. Persson,
  Interior penalty tensor-product preconditioners for high-order discontinuous Galerkin discretizations.
  Proc. of the 2018 AIAA Aerospace Sciences Meeting, January 2018.
  
• S. Kanner and P.-O. Persson,
  Validation of High-Order Wall-Resolved Large-Eddy Simulation of Vertical-Axis Wind Turbines.
  Proc. of the 2018 AIAA SciTech Wind Energy Symposium, January 2018.
  

2017

• W. Pazner and P.-O. Persson,
  Stage-parallel fully implicit Runge-Kutta solvers for discontinuous Galerkin fluid simulations.
  J. Comp. Phys., Vol. 335, pp. 700-717, April 2017.
• W. Pazner and P.-O. Persson,
  High-Order DNS and LES Simulations Using an Implicit Tensor-Product Discontinuous Galerkin Method.
  Proc. of the 23rd AIAA Computational Fluid Dynamics Conference, June 2017. AIAA-2017-3948.
  First place in Best Student Paper Competition.
• J. Wang, M. Zahr and P.-O. Persson,
  Energetically Optimal Flapping Flight via a Fully Discrete Adjoint Method with Explicit Treatment of Flapping Frequency.
  Proc. of the 23rd AIAA Computational Fluid Dynamics Conference, June 2017. AIAA-2017-4412.
  

2016

• J. Suckale, T. Keller, K. V. Cashman and P.-O. Persson,
  Flow-to-fracture transition in a volcanic mush plug may govern normal eruptions at Stromboli.
  Geophys. Res. Lett., Vol. 43, Issue 23, pp. 12,071-12,081, December 2016.
• M. Zahr and P.-O. Persson,
  An Adjoint Method for a High-Order Discretization of Deforming Domain Conservation Laws for Optimization of Flow Problems.
  J. Comp. Phys., Vol. 326, pp. 516-543, December 2016.
• M. Zahr, P.-O. Persson, and J. Wilkening,
  A fully discrete adjoint method for optimization of flow problems on deforming domains with time-periodicity constraints.
  Comput. & Fluids, Vol. 139, pp. 130-147, November 2016.
• M. Fortunato and P.-O. Persson,
  High-order unstructured curved mesh generation using the Winslow equations.
  J. Comp. Phys., Vol. 307, pp. 1-14, 2016.
• S. Kanner and P.-O. Persson,
  Validation of a High-Order Large-Eddy Simulation Solver Using a Vertical-Axis Wind Turbine.
  AIAA J., Vol. 54, No. 1, pp. 101-112, 2016.
• M. Zahr and P.-O. Persson,
  High-Order, Time-Dependent Aerodynamic Optimization using a Discontinuous Galerkin Discretization of the Navier-Stokes Equations.
  Proc. of the 54th AIAA Aerospace Sciences Meeting, January 2016. AIAA-2016-0064.
  
• S. Kanner, L. Wang and P.-O. Persson,
  Implicit Large-Eddy Simulations of 2D Counter-Rotating Vertical-Axis Wind Turbines.
  Proc. of the AIAA SciTech 34th Wind Energy Symposium, January 2016. AIAA-2016-1731.
  

2015

• L. Wang and P.-O. Persson,
  A high-order discontinuous Galerkin method with unstructured space-time meshes for two-dimensional compressible flows on domains with large deformations.
  Comput. & Fluids, Vol. 118, pp. 53-68, September 2015.
• B. Froehle and P.-O. Persson,
  Nonlinear Elasticity for Mesh Deformation with High-Order Discontinuous Galerkin Methods for the Navier-Stokes Equations on Deforming Domains.
  In Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Vol. 106, pp. 73-85, 2015.
• L. Wang and P.-O. Persson,
  High-order 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. AIAA-2015-0820.
  
• S. Kanner and P.-O. Persson,
  Magnitude and Frequency of Forces on a Low-Reynolds VAWT Airfoil Using High-Order LES.
  Proc. of the AIAA SciTech 33rd Wind Energy Symposium, January 2015. AIAA-2015-0218.
  

2014

• B. Froehle and P.-O. Persson,
  A high-order discontinuous Galerkin method for fluid-structure interaction with efficient implicit-explicit time stepping.
  J. Comp. Phys., Vol. 272, pp. 455-470, 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. 478-489, August 2014.
• B. Froehle and P.-O. Persson,
  High-Order Accurate Fluid-Structure Simulation of a Tuning Fork.
  Comput. & Fluids, Vol. 98, pp. 230-238, 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. 2840-2854, July 2014.
• K. Sagiyama, S. Govindjee, P.-O. Persson,
  An efficient time-domain perfectly matched layers formulation for elastodynamics on spherical domains.
  Int. J. Num. Meth. Engrg., Vol. 100, No. 6, pp. 419-441, July 2014.
• A. Edelman, P.-O. Persson, B. D. Sutton,
  Low-temperature random matrix theory at the soft edge.
  J. of Math. Phys., Vol. 55 (6), 063302, June 2014.

2013

• Z.J. Wang et al,
  High-Order CFD Methods: Current Status and Perspective.
  Int. J. Num. Meth. Fluids, Vol. 72 (8), pp. 811-845, July 2013.
• P.-O. Persson,
  A Sparse and High-Order Accurate Line-Based Discontinuous Galerkin Method for Unstructured Meshes.
  J. Comp. Phys., Vol. 233, pp. 414-429, Jan 2013.
• B. Froehle and P.-O. Persson,
  A high-order implicit-explicit fluid-structure interaction method for flapping flight.
  Proc. of the 21th AIAA Computational Fluid Dynamics Conference, June 2013. AIAA-2013-2690.
  
• L. Wang and P.-O. Persson,
  A discontinuous Galerkin method for the Navier-Stokes equations on deforming domains using unstructured moving space-time meshes.
  Proc. of the 21th AIAA Computational Fluid Dynamics Conference, June 2013. AIAA-2013-2833.
  
• 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. AIAA-2013-2666.
  
• M. H. Zahr and P.-O. Persson,
  Performance tuning of Newton-GMRES methods for discontinuous Galerkin discretizations of the Navier-Stokes equations.
  Proc. of the 21th AIAA Computational Fluid Dynamics Conference, June 2013. AIAA-2013-2685.
  
• P.-O. Persson,
  Shock capturing for high-order discontinuous Galerkin simulation of transient flow problems.
  Proc. of the 21th AIAA Computational Fluid Dynamics Conference, June 2013. AIAA-2013-3061.
  

2012

• S. Govindjee and P.-O. Persson,
  A Time-Domain Discontinuous Galerkin Method for Mechanical Resonator Quality Factor Computations.
  J. Comp. Phys., Vol. 231 (19), pp. 6380-6392, Aug 2012.
• P.-O. Persson,
  High-Order Navier-Stokes Simulations using a Sparse Line-Based Discontinuous Galerkin Method.
  Proc. of the 50th AIAA Aerospace Sciences Meeting and Exhibit, January 2012. AIAA-2012-456.
  

2011

• P.-O. Persson, D. Willis, and J. Peraire,
  Numerical Simulation of Flapping Wings using a Panel Method and a High-Order Navier-Stokes Solver.
  Int. J. Num. Meth. Engrg., Vol. 89, No. 10, pp. 1296-1316, 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. 1-5, pp. 232-261, 2011.
  
• J. Peraire and P.-O. Persson,
  High-Order Discontinuous Galerkin Methods for CFD.
  In Adaptive High-Order Methods in Computational Fluid Dynamics, World Scientific series in Advances in Computational Fluid Dynamics, Vol. 2, pp. 119-152.
  
• A. Uranga, P.-O. Persson, M. Drela, and J. Peraire,
  Preliminary Investigation Into the Effects of Cross-Flow on Low Reynolds Number Transition.
  Proc. of the 20th AIAA Computational Fluid Dynamics Conference, June 2011.
  
• P.-O. Persson,
  High-Order LES Simulations using Implicit-Explicit Runge-Kutta Schemes.
  Proc. of the 49th AIAA Aerospace Sciences Meeting and Exhibit, January 2011. AIAA-2011-684.
  
• 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. AIAA-2011-568.
  

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. 213-228, Apr 2010.
• V.-T. Nguyen, J. Peraire, K. B. Cheong, P.-O. Persson,
  A Discontinuous Galerkin Front Tracking Method for Two-Phase Flows with Surface Tension.
  Comput. & Fluids, Vol. 39, No. 1, pp. 1-14, 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. AIAA-2010-724.
  

2009

• P.-O. Persson, J. Bonet, and J. Peraire,
  Discontinuous Galerkin Solution of the Navier-Stokes Equations on Deformable Domains.
  Comput. Methods Appl. Mech. Engrg., Vol. 198, No. 17-20, pp. 1585-1595, 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. AIAA-2009-4131.
  
• 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. AIAA-2009-949.
  
• P.-O. Persson,
  Scalable Parallel Newton-Krylov Solvers for Discontinuous Galerkin Discretizations.
  Proc. of the 47th AIAA Aerospace Sciences Meeting and Exhibit, January 2009. AIAA-2009-606.
  

2008

• P.-O. Persson and J. Peraire,
  Newton-GMRES preconditioning for Discontinuous Galerkin Discretizations of the Navier-Stokes Equations.
  SIAM J. Sci. Comput., Vol. 30, No. 6, pp. 2709-2733, 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. 1806-1824, 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. AIAA-2008-518.
  

2007

• P.-O. Persson, J. Peraire, J. Bonet,
  A High Order Discontinuous Galerkin Method for Fluid-Structure Interaction.
  Proc. of the 18th AIAA Computational Fluid Dynamics Conference, June 2007. AIAA-2007-4327.
  
• D. Willis, E. Israeli, P.-O. Persson, M. Drela, J. Peraire, K. Breuer,
  A Computational Framework for Fluid Structure Interaction in Biologically-Inspired Flapping Flight.
  Proc. of the 25th AIAA Applied Aerodynamics Conference, June 2007. AIAA-2007-3803.
  
• P.-O. Persson, J. Peraire, J. Bonet,
  Discontinuous Galerkin Solution of the Navier-Stokes Equations on Deformable Domains.
  Proc. of the 45th AIAA Aerospace Sciences Meeting and Exhibit, January 2007. AIAA-2007-513.
  
• 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. AIAA-2007-914.
  

2006

• P.-O. Persson,
  Mesh Size Functions for Implicit Geometries and PDE-Based Gradient Limiting.
  Engineering with Computers, Vol. 22 (2), pp. 95-109, 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. 375-392, Sandia Nat. Lab., 2006.
  
• P.-O. Persson, J. Peraire,
  Sub-Cell Shock Capturing for Discontinuous Galerkin Methods.
  Proc. of the 44th AIAA Aerospace Sciences Meeting and Exhibit, January 2006. AIAA-2006-112.
  
• 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. AIAA-2006-113.
  

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.
• A. Edelman, P.-O. Persson,
  Numerical Methods for Eigenvalue Distributions of Random Matrices.
  arXiv:math-ph/0501068, January 2005.
• P.-O. Persson,
  Size Functions and Mesh Generation for High-Quality 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,
  PDE-Based Gradient Limiting for Mesh Size Functions.
  Proc. of the 13th Int. Meshing Roundtable, pp. 377-387, Sandia Nat. Lab., August 2004.
  
• P.-O. Persson, G. Strang,
  A Simple Mesh Generator in MATLAB.
  SIAM Review, Vol. 46 (2), pp. 329-345, June 2004.
  
• P.-O. Persson, G. Strang,
  Smoothing by Savitzky-Golay and Legendre filters.
  In IMA Volume on Math. Systems Theory in Biology, Comm., Comp., and Finance, Vol. 134, pp. 301-316, 2003.
  
• P.-O. Persson, O. Runborg,
  Simulation of a Waveguide Filter Using Wavelet-Based Numerical Homogenization.
  J. Comp. Phys., 166, pp. 361-382, 2001.
  

Theses:

• Mesh Generation for Implicit Geometries.
  Ph.D. thesis, Department of Mathematics, MIT, Dec 2004.
  
• Simulation of Optical Resonance Filters Using Wavelet Homogenization.
  Master's thesis, NADA, KTH, May 1997.