Center for Computing Research (CCR)

Center for Computing Research

Mauro Perego

Mauro Perego
Computational Mathematics
Email: mperego@sandia.gov
Phone: 505 2843480
Fax: 505 2842518

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. Recently I've been working on mesh-free methods, in particular on Smoothed Particle Hydrodynamics and Generalized Moving Least Squares. Also I'm interest in the design and analysis of numerical methods and the mathematical analysis (existence/uniqueness results) of PDEs. I'm currently working on different applications.

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.
Mesoscale Materials: We develop a multifidelity capability for solving electrokinetic phenomena. In particular we work on Poisson-Boltzmann, Poisson-Nernst-Planck and classical density functional theory models to accurately model the distribution of ion at the meso-scale. We also investigate the coupling of model of different fidelities in different regions. In particular we used generalize Schwarz methods and optimization-based methods for coupling.
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.

Education/Background

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

Software

Trilinos

Selected Publications & Presentations

2017	Cheung, James, Amalie Frischknecht, Mauro Perego, Pavel B. Bochev, "A Hybrid, Coupled Approach for Modeling Charged Fluids from the Nano to the Mesoscale," Journal Article, Journal of Computational Physics, Accepted/Published July 2017. D'Elia, Marta, Pavel B. Bochev, David John Littlewood, Mauro Perego, "Optimization-based coupling of local and nonlocal models: Applications to peridynamics," Book, Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Edited by George Z. Voyiadjis, June 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. 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, 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	Trask, Nathaniel, Martin Maxey, Kyungjoo Kim, Mauro Perego, Michael L. Parks, Kai Yang, Jinchao Xu, "A scalable consistent second-order SPH solver for unsteady low Reynolds number flows ," Journal Article, Computer Methods in Applied Mechanics and Engineering, Vol. 289, pp. 155–178, Accepted/Published June 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.
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.