Center for Computing Research (CCR)

Center for Computing Research

Mauro Perego

Mauro Perego
Computational Mathematics
Email: mperego@sandia.gov
Phone: 505/284-3480
Fax: 505/284-2518

Mailing address:
Sandia National Laboratories
P.O. Box 5800, MS 1320
Albuquerque, NM
87185-1320

I'm interested in mathematical, numerical and computational treatment of Partial Differential Equations (PDE) that arise from various applications, PDE constrained optimization and recently in uncertainty quantification. My favorite numerical  scheme for discretizing PDEs, and the one I'm mostly experienced with, is the Galerkin finite element method. I've been also working on mesh-free methods, in particular on Smoothed Particle Hydrodynamics and Generalized Moving Least Squares.  I'm interested in the design and analysis of numerical methods and the mathematical analysis (existence/uniqueness results) of PDEs. I am the lead of the Trilinos Discretization product.

Recently I have been working on Scientific Machine Learning, with the goal of combining learning techniques with well estabilished numerical methods.

  • Ice sheet dynamics: we develop a finite element multi-physics implementation (FELIX) of equations governing ice dynamics, including nonlinear Stokes-like equations for ice-flow and enthalpy equation for ice temperature . We also solve PDE constrained optimization to invert for unknown/uncertain parameters by minimizing the mismatch with observed data and climate forcings. Code is written in Albany applications and relies on several Trilinos packages.
  • Meshless discretization: We aim at analysing and developing consistent and compatible meshless discretizations using generalized moving least square methods. We mainly target elliptic and transport equations and data-transfer problems.
  • Intrepid2: We develop a finite element library that provides performant and portable high-order finite element discretizations spanning all the De Rham complex. The code is a refactoring and enhancement of the library Intrepid.
  • Physics Informed Learning Machines: We investigate the role of deep learning in modeling (or enhancing current models for) scientific problems. Specifically I'm targeting ice sheet modeling. We are also aim at better understadning the approximation properties of neural networks.

 

Education/Background

PhD in Mathematical Engineering at Politecnico di Milano, Italy, in 2009.

Software

Selected Publications & Presentations

2021
  • Hoffman, Matthew, Xylar Asay-Davis, Stephen Price, Jeremy Fyke, Mauro Perego, "Effect of Subshelf Melt Variability on Sea Level Rise Contribution From Thwaites Glacier, Antarctica," Journal Article, JGR Earth Surface, Accepted/Published February 2021.
  • Levermann, Anders, Ricarda Winkelmann, Torsten Albrecht, Heiko Goelzer, Nicholas Golledge, Ralf Greve, Phillipe Huybrechts, Jim Jordan, Gunter Leguy, Daneil Martin, Mathieu Morlighem, Frank Pattyn, David Pollard, Aurelien Quiquet, Christian Rodehacke, Helene Seroussi, Johannes Sutter, Tong Zhang, Jonas Breedman, Reinhard Calov, Robert DeConto, Christophe Dumas, Julius Garbe, Hilmar Gudmundsson, Matthew Hoffman, Angelika Humbert, Thomas Kleiner, William Lipscomb, Malte Meinshausen, Sophie Nowicki, Mauro Perego, Stephen Price, Fuyuki Saito, Nicole-Jeanne Schlegel, Sainan Sun, Roderik Van de Wal, "Projecting Antarctica's contribution to future sea level rise from basal ice shelf melt using linear response functions of 16 ice sheet models (LARMIP-2)," Journal Article, Earth Systems Dynamics, Accepted/Published February 2021.
  • Perego, Mauro, Sivasankaran Rajamanickam, Alexander Heinlein, "FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica," Report, January 2021.
2020
  • Gulian, Mamikon, Eric Christopher Cyr, Ravi Ghanshyam Patel, Mauro Perego, Nathaniel Albert Trask, "Robust training and initialization of deep neural networks; an adaptive basis viewpoint," Conference Paper, 2020 SIAM-CAIMS AN20 (virtual), July 2020.
  • Perego, Mauro, Tong Zhang, Stephen Price, Matthew Hoffman, Xylar Asay-Davis, "Diagnosing the sensitivity of grounding-line flux to changes in sub-ice-shelf melting," Journal Article, The Cryosphere, Submitted October 2020.
2019
  • Bochev, Pavel B., Nathaniel Albert Trask, Mauro Perego, "A meshfree mimetic divergence operator ," Report, August 2019.
  • Bochev, Pavel B., Nathaniel Albert Trask, Paul Allen Kuberry, Mauro Perego, "Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems," Conference Paper, 12th Int. Conference on Large Scale Scientific Computing, June 2019.
  • Bochev, Pavel B., Denis Ridzal, Marta D'Elia, Mauro Perego, Kara J. Peterson, "Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction," Journal Article, Comp. Meth. Application. Mech. Engrg., Submitted May 2019.
  • Bogle, Ian, Karen D. Devine, Mauro Perego, Sivasankaran Rajamanickam, George M. Slota, "A Parallel Graph Algorithm for Detecting Mesh Singularities in Distributed Memory Ice Sheet Simulations," Conference Paper, International Conference on Parallel Processing in Kyoto, Kyoto Prefecture, Japan, August 2019.
  • Gunzburger, Max Donald, Pavel B. Bochev, Mauro Perego, James Cheung, "An Optimally Convergent Higher-Order Finite Element Coupling Method for Interface and Domain Decomposition Problems," Journal Article, Results in Applied Mathematics (RINAM) , Accepted/Published April 2019.
  • Hoffman, Matthew John, Mauro Perego, Andrew G. Salinger, William H. Lipscomb, Stephen F. Price, Gunter R. Leguy, Andrew R. Bennett, Sarah L. Bradley, Katherine J. Evans, Jeremy G. Fyke, Joseph H. Kennedy, Douglas M. Ranken, William J. Sacks, Lauren J. Vargo, Patrick H. Worley, "Description and evaluation of the Community Ice Sheet Model (CISM) v2.1 ," Journal Article, Geoscientific Model Development, Accepted/Published February 2019.
  • Hoffman, Matthew John, Mauro Perego, Stephen Price, William Lipscomb, Tong Zhang, Andrew G. Salinger, Raymond S. Tuminaro, Luca Bertagna, Irina Kalashnikova Tezaur, Douglas Jacobsen, "MPAS-Albany Land Ice (MALI): A Variable-Resolution Ice Sheet Model for Earth System Modeling Using Voronoi Grids," Journal Article, Geoscientific Model Dev, Accepted/Published February 2019.
  • Lipscomb, William, Stephen Price, Matthew Hoffman, Gunter Leguy, Andrew Bennett, Sarah Bradley, Katherine Evans, Jeremy Fyke, Joseph Kennedy, Mauro Perego, Douglas Rankin, William Sacks, Andrew G. Salinger, Lauren Vargo, Patrick Worley, "Description and evaluation of the Community Ice Sheet Model (CISM) v2.1," Journal Article, Geoscientific Model Development, Vol. 12, pp. 387–424, Accepted/Published January 2019.
  • Perego, Mauro, Andrew G. Salinger, "Description and evaluation of the Community Ice Sheet Model (CISM) v2.1 ," Journal Article, Geoscientific Model Development , Accepted/Published February 2019.
  • Trask, Nathaniel Albert, Pavel B. Bochev, Mauro Perego, "A conservative, consistent, and scalable meshfree mimetic method ," Journal Article, Journal of Computational Physics, Submitted March 2019.
2018
  • Hoffman, Matt, Mauro Perego, Stephen Price, William Lipscomb, Doug Jacobsen, Irina Kalashnikova Tezaur, Andrew G. Salinger, Raymond S. Tuminaro, Tong Zhang, "MPAS-Albany Land Ice (MALI): A variable resolution ice sheet model for Earth system modeling using Voronoi grid," Journal Article, Geosci. Model Develop, Accepted/Published March 2018.
  • Hoffman, Matthew, Mauro Perego, Lauren Andrews, Stephen Price, Thomas Neumann, Jesse Johnson, Ginny Catania, Martin Luthi, "Widespread Moulin Formation During SupraglacialLake Drainages in Greenland," Journal Article, Geophysical Research Letters, Accepted/Published January 2018.
  • Jakeman, John Davis, Mauro Perego, William Mark Severa, "Neural Networks as Surrogates of Nonlinear High-Dimensional Parameter-to-Prediction Maps," SAND Report, September 2018.
2017
2016
  • D'Elia, Marta, Mauro Perego, Pavel B. Bochev, David John Littlewood, "A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions," Journal Article, Computer and Mathematics with Applications, Accepted/Published June 2016.
  • Peterson, Kara J., Diana L Bull, Irina Kalashnikova Tezaur, Mauro Perego, Jennifer M Frederick, Erika Louise Roesler, Ray Bambha, Pavel B. Bochev, Mark Bosloughy, Leo Bynum, Lauren Dennis, Darielle Dexheimer, Benjamin Hillman, Anastasia Gennadyevna Ilgen, Mark D. Ivey, Katherine A. Klise, Hunter Anne Knox, Matthew Mcchesney, Hope A. Michelsen, Mark A. Taylor, "Arctic Climate Science Roadmap," SAND Report, September 2016.
  • Price, S, M Hoffman, J Bonin, I. Howat, T. Neumann, J. Saba, Irina Kalashnikova Tezaur, J. Guerber, D. Chambers, K. Evans, Raymond S. Tuminaro, J. Kennedy, W. Lipscomb, Mauro Perego, Andrew G. Salinger, M. van den Broeke, S. Nowicki, "An ice sheet model validation framework for the Greenland ice sheet ," Journal Article, Geo. Mod. Devel. Disc., pp. 1–29, Accepted/Published January 2016.
  • Salinger, Andrew G., Roscoe Bartlett, Andrew Michael Bradley, Qiushi Chen, Irina Demeshko, Xujiao Gao, Glen Hansen, Alejandro Mota, Richard P. Muller, Erik Nielsen, Jakob Ostien, Roger P. Pawlowski, Mauro Perego, Eric T. Phipps, WaiChing Sun, Irina Kalashnikova Tezaur, "Albany: Using Component-based Design to Develop a Flexible, Generic Multiphysics Analysis Code," Journal Article, International Journal for Multiscale Computational Engineering, Vol. 14, No. 4, pp. 414–438, Accepted/Published July 2016.
  • Trask, Nathaniel, Mauro Perego, Pavel B. Bochev, "A High-order Staggered Meshless Method for Elliptic Problems," Journal Article, SIAM Journal on Scientific Computing, Submitted February 2016.
  • Tuminaro, Ray, Mauro Perego, Irina Tezaur, Andrew Salinger, Stephen Price, "A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling," Journal Article, SIAM J. Sci. Comput., Vol. 38, No. 25, pp. C504–C532, Accepted/Published October 2016.
  • Tuminaro, Raymond, Mauro Perego, Irina Tezaur, Andrew Salinger, Stephen Price, "A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling," Journal Article, SIAM J. Sci. Comput., Vol. 38, No. 5, pp. C504–C532, Accepted/Published October 2016.
2015
2014
  • Bochev, Pavel, Mauro Perego, Kara Peterson, "FORMULATION AND ANALYSIS OF A PARAMETER-FREE STABILIZED FINITE ELEMENT METHOD," Journal Article, SIAM J. Numerical Analysis, Submitted March 2014.
  • Bochev, Pavel B., Kara J. Peterson, Mauro Perego, "A multi-scale control-volume finite element method for advection-diffusion equations," Journal Article, Int. J. Num. Meth. Fluids, Submitted July 2014.
  • Perego, Mauro, Stephen Price, Georg Stadler, "Optimal Initial Conditions for Coupling Ice Sheet Models to Earth System Models," Journal Article, Journal of Geophysical Research, Submitted April 2014.
  • Tezaur, Irina Kalashnikova, Mauro Perego, Andrew G. Salinger, Raymond S. Tuminaro, ""Albany/FELIX: A Parallel, Scalable and Robust Finite Element Higher-Order Stokes Ice Sheet Solver Built for Advanced Analysis"," Journal Article, Geosci. Model Develop. Discuss, Vol. 7, pp. 8079–8149, Accepted/Published November 2014.
2013
  • Perego, Mauro, Mike Eldred, Max Gunzburger, Matt Hoffman, Lili Ju, Irina Kalashnikova, Weng Leng, Stephen Price, Andrew G. Salinger, Georg Stadler, "FELIX: advances in modeling forward and inverse icesheet problems", has been approved and assigned the following," Presentation, European Geosciences Union General Assembly, April 2013.
  • Perego, Mauro, Max Gunzburger, Matt Hoffman, Stephen Price, Andrew G. Salinger, Georg Stadler, "Modeling ice-sheets dynamics: forward and inverse problems," Presentation, September 2013.