Richard B. Lehoucq

Discrete Math & Optimization

Author profile picture

Discrete Math & Optimization

rblehou@sandia.gov

home page

(505) 845-8929

Sandia National Laboratories, New Mexico
P.O. Box 5800
Albuquerque, NM 87185-1320

Biography

I’ve worked on a myriad of projects over the course of my career. These include

  • analysis of the peridynanmic nonlocal continuum theory, including mechanical and mathematical analyses.
  • nonlocal diffusion equation
  • directed graphs and their statistical analyses
  • the numerical solution of large-scale eigenvalue problems and differential equations. I am a co-author of ARPACK and Anasazi, open source software for computing eigenvalues of large-scale matrices. I have collaborated with scientists to use ARPACK in applications in Quantum physics, CFD, spectral graph theory, structural dynamics and radiation transport.

Education

  • Ph.D. in Computational Science and Engineering, Rice University, 1995.
  • M.S. in Mathematics, Virginia Polytechnic Institute and State University, 1986.
  • B.A. in Mathematics, California University of Pennsylvania, 1984.

Publications

William Mark Severa, John Darby Smith, Richard B. Lehoucq, James Bradley Aimone, (2022). Learning to Parameterize a Stochastic Processing Using Neuromorphic Data Generation International Conference on Neuromorphic Systems Document ID: 1584897

William Mark Severa, John Darby Smith, Richard B. Lehoucq, James Bradley Aimone, (2022). Learning to Parameterize a Stochastic Process Using Neuromorphic Data Generation International Conference on Neuromorphic Systems Document ID: 1574459

Stephen D Bond, Brian C. Franke, Richard B. Lehoucq, Aaron Jeffrey Olson, John Darby Smith, Scott McKinley, Petr Plechac, (2022). Particle approach to inverse problems via gradient-based optimization CIS Research Foundation External Review Document ID: 1551276

Oscar Lopez, Daniel Dunlavy, Richard B. Lehoucq, (2022). Zero-Truncated Poisson Regression for Multiway Count Data Conference on Random Matrix Theory and Numerical Linear Algebra Document ID: 1540237

Daniel Dunlavy, Richard B. Lehoucq, Oscar Lopez, (2022). Low-Rank Tensor Decompositions for Large Sparse Count Data 8th European Seminar on Computing (ESCO 2022) – ONLINE Document ID: 1539971

Aaron Jeffrey Olson, Gianluca Geraci, Richard B. Lehoucq, (2022). Updates on Monte Carlo transport uncertainty quantification and sensitivity analysis methods at SNL CEMeNT PSAAP Center TST Meeting Document ID: 1516097

Richard B. Lehoucq, (2022). Sensitivity Analyses for Monte Carlo transport TSAAP/TST CEMeNT meeting Document ID: 1505952

John Darby Smith, Aaron Jamison Hill, Reeder Leah, Brian C. Franke, Richard B. Lehoucq, Ojas D. Parekh, William Mark Severa, James Bradley Aimone, (2022). Neuromorphic scaling advantages for energy-efficient random walk computations Nature Electronics https://www.osti.gov/search/identifier:1845387 Document ID: 1427616

Oscar Lopez, Richard B. Lehoucq, Daniel Dunlavy, (2022). Zero-Truncated Poisson Tensor Decomposition for Sparse Count Data https://www.osti.gov/search/identifier:1841834 Document ID: 1416222

John Darby Smith, Richard B. Lehoucq, James Bradley Aimone, William Mark Severa, (2021). Assessing a Neuromorphic Platform for use in Scientific Stochastic Sampling International Conference on Rebooting Computing Document ID: 1404118

John Darby Smith, James Bradley Aimone, William Mark Severa, Richard B. Lehoucq, (2021). Assessing a Neuromorphic Platform for use in Scientific Stochastic Sampling International Conference on Rebooting Computing Document ID: 1392326

Richard Frederick Barrett, Omar Raad Aaziz, Jeanine Cook, Richard B. Lehoucq, Stephen Lecler Olivier, Courtenay T. Vaughan, (2021). Developing a Graph Analytics Code : An Analysis of the Chapel Programming Environment CHIUWChapel Implementers and Users Workshop Document ID: 1294252

John Darby Smith, William Mark Severa, Richard B. Lehoucq, James Bradley Aimone, (2021). Learning to Solve an Inverse Problem Using Neuromorphic Data Generation Smoky Mountains Conference Document ID: 1280890

John Darby Smith, Aaron Jamison Hill, Leah Reeder, Brian C. Franke, Richard B. Lehoucq, Ojas D. Parekh, William Mark Severa, James Bradley Aimone, (2020). Neuromorphic scaling advantages for energy-efficient random walk computations https://www.osti.gov/search/identifier:1671377 Document ID: 1207930

Richard B. Lehoucq, Brian C. Franke, Stephen D Bond, Scott McKinley, (2020). Particle Sensitivity Analysis https://www.osti.gov/search/identifier:1669202 Document ID: 1196513

John Darby Smith, William Mark Severa, Aaron Jamison Hill, Leah Reeder, Ojas D. Parekh, Brian C. Franke, Richard B. Lehoucq, James Bradley Aimone, (2020). Solving a steady-state pde using spiking networks and neuromorphic hardware International Conference on Neuromorphic Systems https://www.osti.gov/search/identifier:1813714 Document ID: 1184356

John Darby Smith, William Mark Severa, Aaron Jamison Hill, Leah Evelyn Reeder, Brian C. Franke, Richard B. Lehoucq, Ojas D. Parekh, James Bradley Aimone, (2020). Solving a steady-state pde using spiking networks and neuromorphic hardware International Conference on Neuromorphic Systems https://www.osti.gov/search/identifier:1808426 Document ID: 1161991

Stephen D Bond, Brian C. Franke, Richard B. Lehoucq, John Darby Smith, (2020). Sensitivity analysis for Monte Carlo simulations of integro-partial differential equations Coda2020 https://www.osti.gov/search/identifier:1765803 Document ID: 1091988

Richard B. Lehoucq, Brian C. Franke, Shannon Bond, John Darby Smith, (2020). Sensitivity analysis for Monte Carlo simulations of integro-partial differential equations CoDA 2020 https://www.osti.gov/search/identifier:1764792 Document ID: 1090881

John Darby Smith, James Bradley Aimone, Brian C. Franke, Aaron Jamison Hill, Richard B. Lehoucq, Ojas D. Parekh, Leah Evelyn Reeder, William Mark Severa, (2020). Solving IPDEs on Spiking Neuromorphic Hardware Joint Math Meetings https://www.osti.gov/search/identifier:1761032 Document ID: 1079000

Erik Gunnar Boman, Eric Darve, Richard B. Lehoucq, Sivasankaran Rajamanickam, Raymond S. Tuminaro, Ichitaro Yamazaki, (2019). LDRD Final Report: Fast and Robust Linear Solvers based on Hierarchical Matrices https://www.osti.gov/search/identifier:1574609 Document ID: 1055945

Stephen D Bond, Brian C. Franke, Richard B. Lehoucq, John Darby Smith, (2019). Developing and evaluating Malliavin estimators for intrusive sensitivity analysis of Monte Carlo radiation transport https://www.osti.gov/search/identifier:1568989 Document ID: 1020637

John Darby Smith, Richard B. Lehoucq, (2019). An SDE Representation of Particle Transport for Low Power Implementation Joint Math Meetings Document ID: 1009540

Richard B. Lehoucq, (2019). Subspace projection methods and random linear algebra Shell Lecture Rice University https://www.osti.gov/search/identifier:1644501 Document ID: 936229

Richard B. Lehoucq, Robert Lipton, Prashant Jha, (2018). Complex fracture nucleation and evolution with nonlocal elastodynamics Journal of Peridynamics and Nonlocal Modeling https://www.osti.gov/search/identifier:1529304 Document ID: 900303

Samuel Saiid Fayad, Phillip L. Reu, Richard B. Lehoucq, Daniel Z. Turner, (2018). Pattern-Induced Bias (PIB) a "New" Error term in 2D-DIC Matching Society for Experimental Mechanics Annual Conference and Exposition Document ID: 888161

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Thomas Seidl, Daniel Z. Turner, (2018). High-throughput Material Characterization using the Virtual Fields Method https://www.osti.gov/search/identifier:1474817 Document ID: 854985

James Bradley Aimone, Aaron Jamison Hill, Richard B. Lehoucq, Ojas D. Parekh, Leah Evelyn Reeder, William Mark Severa, (2018). Neural Algorithms for Low Power Implementation of Partial Differential Equations https://www.osti.gov/search/identifier:1474253 Document ID: 865530

Marta D’Elia, Qiang (Columbia) Du, Max (FSU) Gunzburger, Richard B. Lehoucq, (2018). Nonlocal convection-superdiffusion problems on bounded domains and finite-range jump processes Computational Methods In Applied Mathematics. https://www.osti.gov/search/identifier:1469622 Document ID: 853886

James Bradley Aimone, Aaron Jamison Hill, Richard B. Lehoucq, Ojas D. Parekh, William Mark Severa, (2018). Neuromorphic Hardware Implementation of Spiking Algorithms for Markov Random Walks 2018 International Conference on Neuromorphic Systems (ICONS) https://www.osti.gov/search/identifier:1582258 Document ID: 831045

William Mark Severa, Richard B. Lehoucq, Ojas D. Parekh, James Bradley Aimone, (2018). Spiking Neural Algorithms for Markov Process Random Walk International Joint Conference on Neural Networks https://www.osti.gov/search/identifier:1532605 Document ID: 819905

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2018). Parameter Covariance and Non-Uniqueness in Material Model Calibration using the Virtual Fields Method Computational Materials Science https://www.osti.gov/search/identifier:1457518 Document ID: 807241

Daniel Dunlavy, Richard Frederick Barrett, Richard B. Lehoucq, Tamara G. Kolda, Keita Teranishi, (2018). A Performance Portable Sparse Tensor Decomposition for Poisson Regression Problems Cis Erb Document ID: 807952

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2018). Comparison of Material Model Calibration using Tenile Dog Bones versus the Virtual Fields Method Society for Experimental Mechanics https://www.osti.gov/search/identifier:1524825 Document ID: 807953

William Mark Severa, Richard B. Lehoucq, Ojas D. Parekh, James Bradley Aimone, (2018). Spiking Neural Algorithms for Markov Process Random Walk International Joint Conference on Neural Networks 2018 https://www.osti.gov/search/identifier:1525633 Document ID: 795559

Richard B. Lehoucq, (2018). Classical, Graph and Nonlocal Laplacians GraphEx https://www.osti.gov/search/identifier:1510862 Document ID: 785297

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2018). Comparison of Material Model Calibration using Tenile Dog Bones versus the Virtual Fields Method Society for Experimental Mechanics Document ID: 761338

Michael Wolf, Daniel Dunlavy, Richard B. Lehoucq, Jonathan W. Berry, Daniel (Rice) Bourgeois, (2018). TriData: High Performance Linear Algebra-Based Data Analytics Siam Pp18 https://www.osti.gov/search/identifier:1497538 Document ID: 761291

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2017). Identification of Viscoplastic Model Parameters for 304L Stainless Steel using the Virtual Fields Method International Digital Image Correlation Society (iDICs) conference https://www.osti.gov/search/identifier:1510659 Document ID: 725254

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, Sharlotte LorraineBolyard Kramer, (2017). Comparison of Material Model Calibration using Tensile Dog Bones Versus the Virtual Fields Method Society for Experiment Mechanics (SEM) Document ID: 714364

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2017). Calibration of Viscoplastic Material Models for 304L Stainless Steel using DIC and the Virtual Fields Method International Digital Image Correlation Society (iDICs) conference Document ID: 671109

Michael Wolf, Daniel Dunlavy, Richard B. Lehoucq, Daniel Bourgeois (Rice), Alicia Marie Klinvex, (2017). TriData: High Performance Linear Algebra-Based Data Analytics Siam Pp18 Document ID: 670442

Richard B. Lehoucq, Erik Gunnar Boman, Karen D. Devine, Jonathan W. Berry, Daniel Dunlavy, Michael Wolf, Van (LLNL) Henson, Geoff (LLNL) Sanders, (2017). A computational spectral graph theory tutorial Householder Symposium XX https://www.osti.gov/search/identifier:1456850 Document ID: 626244

Elizabeth M. C. Jones, Phillip L. Reu, Sharlotte LorraineBolyard Kramer, Kyle N. Karlson, Richard B. Lehoucq, Jay D. Carroll, Daniel Z. Turner, (2017). Combining Full-Field Measurements and Inverse Techniques for Smart Material Testing Invited seminar https://www.osti.gov/search/identifier:1455344 Document ID: 529460

Daniel Z. Turner, Richard B. Lehoucq, Phillip L. Reu, (2017). The effect of the ill-posed problem on quantitative error assessment in digital image correlation Experimental Mechanics https://www.osti.gov/search/identifier:1421608 Document ID: 624969

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2017). Identification of Viscoplastic Model Parameters for 304L Stainless Steel using the Virtual Fields Method Society for Experiment Mechanics (SEM) Document ID: 599750

Elizabeth M. C. Jones, Phillip L. Reu, Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Daniel Z. Turner, (2016). Identifying and Validating Material Models with Non-Unique Parameter Sets International Digital Image Correlation Society https://www.osti.gov/search/identifier:1410752 Document ID: 553554

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2016). Utilizing Digital Image Correlation for Improved Validation of Material Models Society for Experimental Mechanics Document ID: 532117

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2016). Combining Full-Field Measurements and Inverse Techniques for Smart Material Testing Invited seminar https://www.osti.gov/search/identifier:1394878 Document ID: 529601

Elizabeth M. C. Jones, Phillip L. Reu, Sharlotte LorraineBolyard Kramer, Jay D. Carroll, Daniel Z. Turner, Kyle N. Karlson, Richard B. Lehoucq, (2016). Combining Full-Field Measurements and Inverse Techniques for Smart Material Testing International Digital Image Correlation Society Document ID: 528788

Elizabeth M. C. Jones, Jay D. Carroll, Kyle N. Karlson, Sharlotte LorraineBolyard Kramer, Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2016). Combining Full-Field Measurements and Inverse Techniques for Smart Material Testing European Mechanics of Materials Conference https://www.osti.gov/search/identifier:1378860 Document ID: 528807

Daniel Z. Turner, Richard B. Lehoucq, Phillip L. Reu, (2016). What the ill-posed problem in DIC means for practitioners International DIC Society 2016 Conference and Workshop https://www.osti.gov/search/identifier:1374238 Document ID: 507259

Richard B. Lehoucq, Daniel Z. Turner, (2016). The Ill-posed Problem in DIC iDICs 2016 Conference and Workshop/SEM Fall Conference Document ID: 475254

Richard B. Lehoucq, Daniel Z. Turner, (2016). A Mixed Finite Element Method for Constraining and Regularizing the Optical Flow Constraint SIAM inaging science Document ID: 476866

Richard B. Lehoucq, Daniel Z. Turner, (2016). A Mixed Finite Element Method for Regularizing the Optical Flow Constraint International Conference on Comp. Math. and Inverse Problems Document ID: 442246

Robert (LSU) Lipton, Stewart A. Silling, Richard B. Lehoucq, (2016). Complex fracture nucleation and evolution with nonlocal elastodynamics ASME annual meeting (IMECE2016) Document ID: 431675

Daniel Z. Turner, Richard B. Lehoucq, Phillip L. Reu, (2016). Simplex Digital Image Correlation Optics Express Document ID: 408648

Daniel Z. Turner, Richard B. Lehoucq, Phillip L. Reu, (2016). The ill-posed problem in DIC Society For Experimental Mechanics International Congress and Exposition Document ID: 408703

Robert Lipton, Stewart A. Silling, Richard B. Lehoucq, (2016). Complex fracture nucleation and evolution with nonlocal elastodynamics Proceedings of the National Academy of Science https://www.osti.gov/search/identifier:1248533 Document ID: 376122

Richard B. Lehoucq, Stephen Rowe, Fran (Texas A&M) Narcowich, Joe (Texas A&M) Ward, (2016). A Meshless Galerkin Method For Non-local Diffusion Using Localized Kernel Bases Mathematics of Computation https://www.osti.gov/search/identifier:1247659 Document ID: 376691

Richard B. Lehoucq, Adam Cardinal-Stakenas (DoD), (2015). Hypothesis testing for community detection on the stochastic block model Inference on NetworksAlgorithms, Phase Transitions, New Models and New Data https://www.osti.gov/search/identifier:1336326 Document ID: 365670

Richard B. Lehoucq, DoD Adam Cardinal-Stakenas, (2015). Hypothesis testing for community detection on the stochastic block model Inference on NetworksAlgorithms, Phase Transitions, New Models and New Data Document ID: 365099

Richard B. Lehoucq, Daniel Z. Turner, Carlos (UMN) Garavito, (2015). PDE constrained optimization for digital image correlation Ascam 15 https://www.osti.gov/search/identifier:1576153 Document ID: 342725

Richard B. Lehoucq, Carlos Garavito-Gazon, (2015). Nonlocal Constitutive Relations Nonlocal Models in Mathematics, Computation, Science, Engineering https://www.osti.gov/search/identifier:1530667 Document ID: 353522

Daniel Z. Turner, Richard B. Lehoucq, (2015). The ill-posed problem in DIC Society for Experimental Mechanics Annual Meeting Document ID: 342425

Daniel Z. Turner, Richard B. Lehoucq, Carlos A. Garavito-Garzon, (2015). PDE Constrained Optimization for Digital Image Correlation https://www.osti.gov/search/identifier:1494349 Document ID: 321495

Richard B. Lehoucq, Marta D’Elia, Nate Burch, (2015). The exit-time problem for a Markov jump process Iciam15 https://www.osti.gov/search/identifier:1301968 Document ID: 319345

Richard B. Lehoucq, Daniel Z. Turner, (2015). A Nonlocal Strain Measure for Digital Image Correlation Iciam15 https://www.osti.gov/search/identifier:1327461 Document ID: 319282

Daniel Z. Turner, Richard B. Lehoucq, Phillip L. Reu, (2015). Nonlocal Digital Image Correlation Nonlocal Models in Mathematics, Computation, Science, and Engineering https://www.osti.gov/search/identifier:1268163 Document ID: 318373

Daniel Z. Turner, Richard B. Lehoucq, Phillip L. Reu, (2015). A Nonlocal Strain Measure for Digital Image Correlation Society for Experimental Mechanics Annual Meeting https://www.osti.gov/search/identifier:1257127 Document ID: 286687

Richard B. Lehoucq, (2015). A Nonlocal Strain Measure for Digital Image Correlation Iciam15 Document ID: 275560

Richard B. Lehoucq, (2015). The exit-time problem for a Markov jump process Iciam15 Document ID: 275561

Daniel Z. Turner, Richard B. Lehoucq, (2015). Towards a Generalized Framework for Digital Image Correlation Inter-lab DIC Symposium https://www.osti.gov/search/identifier:1255433 Document ID: 286124

Daniel Z. Turner, Richard B. Lehoucq, (2015). Towards a generalized framework for global and local DIC DIC Symposium Document ID: 254181

Daniel Z. Turner, Richard B. Lehoucq, Phillip L. Reu, (2015). A Nonlocal Strain Measure for DIC Society for Experimental Mechanics 2015 Annual Conference https://www.osti.gov/search/identifier:1240251 Document ID: 221997

N. Burch, Marta D’Elia, Richard B. Lehoucq, (2015). The exit-time problem for a Markov jump process The European Physical Journal https://www.osti.gov/search/identifier:1235248 Document ID: 220392

Qiang Du, Richard B. Lehoucq, A.M. Tartakovsky, (2015). Integral approximations to classical diffusion and smoothed particle hydrodynamics Computer Methods in Applied Mechanics and Engineering https://www.osti.gov/search/identifier:1235919 Document ID: 220393

Richard B. Lehoucq, Stephen (Texas A&M) Rowe, (2015). A Radial Basis Function Galerkin Method for Anisotropic Nonlocal Diffusion Computer Methods in Applied Mechanics and Engineering https://www.osti.gov/search/identifier:1237367 Document ID: 220787

Richard B. Lehoucq, (2014). A modern synthesis of analysis, mechanics and geometry Mathematics in science & society colloqium, department of mathematics https://www.osti.gov/search/identifier:1241757 Document ID: 155137

Richard B. Lehoucq, Qiang (Columbia) Du, Dan (UCFL) Tartakowsky, (2014). Integral approximations to classical diffusion and smoothed particle hydrodynamics CMAME journal https://www.osti.gov/search/identifier:1183107 Document ID: 154650

Richard B. Lehoucq, Marta D’Elia, Ozlem (MSU) Defterli, Qiang (Columbia) Du, Max Donald Gunzburger, (2014). Fractional diffusion on bounded domains Fractional Calculus and Applied Analysis https://www.osti.gov/search/identifier:1183102 Document ID: 154588

Richard B. Lehoucq, Phillip L. Reu, Daniel Z. Turner, (2014). A nonlocal strain measure for digital image correlation Strain, a journal in experimental mechanics https://www.osti.gov/search/identifier:1183101 Document ID: 154573

Richard B. Lehoucq, Erik Gunnar Boman, Karen D. Devine, Heidi K. Thornquist, Nicole Slattengren, (2014). Installing the Anasazi eigensolver package with application to some graph eigenvalue problems https://www.osti.gov/search/identifier:1494630 Document ID: 143264

Richard B. Lehoucq, Stephen Rowe, (2014). A Radial Basis Function Galerkin Method For Anisotropic Nonlocal Diffusion Meshfree Methods for Large-Scale Computational Science and Engineering Document ID: 143438

Richard B. Lehoucq, Marta D’Elia, Nathanial (Gonzaga University) Burch, (2014). The exit-time problem for a Markov jump process What is the event name for a journal submission? https://www.osti.gov/search/identifier:1497664 Document ID: 143245

Richard B. Lehoucq, Daniel Z. Turner, Carlos Garavito, (2014). Nonlocal kinematics for meshfree methods Meshfree Methods for Large-Scale Computational Science and Engineering Document ID: 112223

Richard B. Lehoucq, Marta D’Elia, Qiang (PSU) Du, Max (FSU) Gunzburger, (2014). Nonlocal non?symmetric diffusion, Matthematical Analysis and Stochastic Interpretation International conference on Fractional Differentiation and its Applications https://www.osti.gov/search/identifier:1497521 Document ID: 101541

David John Littlewood, Stewart A. Silling, Richard B. Lehoucq, Michael L. Parks, John A. Mitchell, Daniel Z. Turner, Stephen D Bond, (2014). Peridynamic Modeling of Material Failure and Fracture Cis Eab https://www.osti.gov/search/identifier:1706390 Document ID: 5335185

Marta D’Elia, Richard B. Lehoucq, Qiang Du, Max Gunzburger, (2014). Finite range jump processes and volume-constrained diffusion problems Stochastic Processes and their Applications https://www.osti.gov/search/identifier:1141628 Document ID: 5334530

Stephen D Bond, Richard B. Lehoucq, Stephen Rowe, (2014). Analysis and approximation of a finite-range jump process via radial basis function methods Texas A&M math department seminar https://www.osti.gov/search/identifier:1140712 Document ID: 5332017

Stephen D Bond, Richard B. Lehoucq, Stephen Rowe, (2013). A Galerkin Radial Basis Function Method for Nonlocal Diffusion https://www.osti.gov/search/identifier:1681108 Document ID: 5331300

Andrew David Baczewski, Stephen D Bond, William W. Erikson, Richard B. Lehoucq, Lisa Ann Mondy, David R. Noble, Flint Pierce, Christine Cardinal Roberts, Frank B. Van Swol, Cole Yarrington, (2013). Computational Mechanics for Heterogeneous Materials https://www.osti.gov/search/identifier:1325910 Document ID: 5330129

Erik Gunnar Boman, Karen D. Devine, Richard B. Lehoucq, Geoff Sanders Van Henson, (2013). A computational spectral graph theory tutorial Oberwolfach workshop on the Numerical Solution of PDE Eigenvalue Problems https://www.osti.gov/search/identifier:1295693 Document ID: 5329100

Erik Gunnar Boman, Richard B. Lehoucq, Kevin Deweese, (2013). Preconditioners for Large Scale-Free Graphs Preconditioning’13 https://www.osti.gov/search/identifier:1083675 Document ID: 5323523

Erik Gunnar Boman, Richard B. Lehoucq, Kevin Deweese, (2013). Preconditioning for Large Scale-Free Graphs Preconditioning’13 https://www.osti.gov/search/identifier:1083653 Document ID: 5323669

Michael L. Parks, Richard B. Lehoucq, Stephen D Bond, Randall M. Summers, Samuel Scott Collis, (2013). CM4 and Peridynamics None https://www.osti.gov/search/identifier:1656990 Document ID: 5319643

Erik Gunnar Boman, Karen D. Devine, Richard B. Lehoucq, Nicole Slattengren, David Hysom, Andy Yoo, (2013). Trilinos-based Software for Eigenanalysis of Graphs https://www.osti.gov/search/identifier:1648496 Document ID: 5318328

Erik Gunnar Boman, Karen D. Devine, Richard B. Lehoucq, Nicole Slattengren, Kevin Deweese, (2013). Efficient Computation of Eigenpairs for Large Scale-free Graphs SIAM Conf. on CS&E https://www.osti.gov/search/identifier:1095526 Document ID: 5317813

Michael L. Parks, David John Littlewood, John A. Mitchell, Stewart A. Silling, Richard B. Lehoucq, (2012). Peridynamics for Material Failure Nuclear Explosive Code Development Conference https://www.osti.gov/search/identifier:1648018 Document ID: 5313636

Michael L. Parks, Richard B. Lehoucq, James R Kamm, Qiang Du, (2012). A New Approach for a Nonlocal, Nonlinear Conservation Law Workshop on Nonlocal Continuum Models for Diffusion, Mechanics, and Other Applications https://www.osti.gov/search/identifier:1650280 Document ID: 5309435

Erik Gunnar Boman, Karen D. Devine, Richard B. Lehoucq, Nicole Slattengren, (2012). Eigensolvers on HPC Platforms Project meeting https://www.osti.gov/search/identifier:1650476 Document ID: 5308310

Michael L. Parks, David John Littlewood, Stewart A. Silling, Richard B. Lehoucq, John A. Mitchell, (2012). Peridynamics for Material Failure Presentation at LANL https://www.osti.gov/search/identifier:1656996 Document ID: 5306672

Pablo Seleson, Michael L. Parks, Steven J. Plimpton, Stewart A. Silling, Richard B. Lehoucq, (2011). Peridynamics with LAMMPS: A User Guide v0.3 Beta https://www.osti.gov/search/identifier:1031301 Document ID: 5301483

Heidi K. Thornquist, Mark Frederick Hoemmen, Michael A. Heroux, Richard B. Lehoucq, Michael L. Parks, David M. Day, Christopher Grover Baker, (2011). A Tutorial on Anasazi and Belos Trilinos User’s Group Meeting 2011 https://www.osti.gov/search/identifier:1661524 Document ID: 5301312

Michael L. Parks, Richard B. Lehoucq, Du, Richard B. Lehoucq, Du, (2011). A New Model for Nonlocal Advection XIII International Workshop on Supercomputing and Mathematical Modeling https://www.osti.gov/search/identifier:1106790 Document ID: 5299721

Michael L. Parks, Richard B. Lehoucq, James R Kamm, Qiang Du, (2011). A New Approach to Nonlocal Advection AMS 2011 Fall Central Section Meeting https://www.osti.gov/search/identifier:1663308 Document ID: 5299363

Stewart A. Silling, Richard B. Lehoucq, Abe Askari, Olaf Weckner, (2011). Recent Developments in Peridynamics US National Congress on Computational Mechanics https://www.osti.gov/search/identifier:1106847 Document ID: 5296806

Michael L. Parks, James R Kamm, Richard B. Lehoucq, Qiang Du, (2011). A New Approach to Nonlocal Advection US Congress on Computational Mechanics https://www.osti.gov/search/identifier:1661781 Document ID: 5296636

James R Kamm, Richard B. Lehoucq, Qiang Du, Michael L. Parks, (2011). An Approach to Nonlocal, Nonlinear Advection SIAM Journal on Applied Mathematics https://www.osti.gov/search/identifier:1108206 Document ID: 5294390

Steven J. Plimpton, James R Kamm, Richard B. Lehoucq, Michael L. Parks, Mark P. Sears, Stewart A. Silling, (2011). Peridynamics as a Rigorous Coarse-Graining of Atomistics for Multiscale Materials Design https://www.osti.gov/search/identifier:1007313 Document ID: 5286984

Michael L. Parks, Richard B. Lehoucq, James R Kamm, (2011). An approach to nonlocal, nonlinear advection Multiscale Modeling and Simulation https://www.osti.gov/search/identifier:1110568 Document ID: 5290682

Stewart A. Silling, Richard B. Lehoucq, (2010). Energy balance in peridynamics Society of Engineering Science 2010 Technical Meeting https://www.osti.gov/search/identifier:1028449 Document ID: 5287539

Nathanial James Burch, Richard B. Lehoucq, (2010). Continuous Time Random Walks on Bounded Domains Physical Review E https://www.osti.gov/search/identifier:1122162 Document ID: 5286904

Leslie D Cumiford, Richard B. Lehoucq, (2010). The Statistical Mechanical Foundations of Peridynamics: Momentum and Energy Conservation Laws Physical Review E https://www.osti.gov/search/identifier:1122347 Document ID: 5286798

Stewart A. Silling, Richard B. Lehoucq, (2010). Energy Balance for a Moving Defect in a Peridynamic Solid US National Congress of Theoretical and Applied Mechanics https://www.osti.gov/search/identifier:1021586 Document ID: 5284046

Michael L. Parks, Richard B. Lehoucq, Pablo Seleson, Max Gunzburger, (2010). Peridynamics as an Upscaling of Molecular Dynamics 16th US National Congress of Theoretical and Applied Mechanics https://www.osti.gov/search/identifier:1678881 Document ID: 5283253

Michael L. Parks, Pavel B. Bochev, Richard B. Lehoucq, Max Gunzburger, Santiago Badia, Mohan Nuggehally, Catalin Picu, Mark Shepard, Jacob Fish, (2010). Atomistic-to-Continuum Coupling Methods Based on Domain Decomposition SIAM Conference on Mathematical Aspects of Materials Science https://www.osti.gov/search/identifier:1681150 Document ID: 5282161

Stewart A. Silling, Richard B. Lehoucq, (2010). Peridynamic Theory of Solid Mechanics Advances in Applied Mechanics https://www.osti.gov/search/identifier:984146 Document ID: 5278652

Michael L. Parks, Richard B. Lehoucq, Stewart A. Silling, Pablo Seleson, (2009). Peridynamics for Multiscale Materials Modeling Applied Mathematics Principal Investigators Meeting https://www.osti.gov/search/identifier:984146 Document ID: 5266237

Stewart A. Silling, Richard B. Lehoucq, Abe Askari, Olaf Weckner, Florin Bobaru, (2009). Peridynamic Modeling of the Dynamic Response of Heterogeneous Media International Symposium on Plasticity https://www.osti.gov/search/identifier:958202 Document ID: 5268395

Michael L. Parks, Steven J. Plimpton, Richard B. Lehoucq, Stewart A. Silling, (2008). Implementing peridynamics within a molecular dynamics code Computer Physics Comunications https://www.osti.gov/search/identifier:1044986 Document ID: 5258194

Stewart A. Silling, Richard B. Lehoucq, Olaf Weckner, (2008). The Peridynamic Model and Nonlocality 2008 ASME International Mechanical Engineering Congress and Exposition https://www.osti.gov/search/identifier:1700620 Document ID: 5267013

Stewart A. Silling, Richard B. Lehoucq, David Read, Vinod Tewary, Walter Gerstle, (2008). Peridynamic Simulation of Electromigration Computer Modeling in Engineering and Sciences https://www.osti.gov/search/identifier:1143183 Document ID: 5262764

Michael L. Parks, Steven J. Plimpton, Richard B. Lehoucq, Stewart A. Silling, (2008). Mesoscale Simulations with Microscale Tools: Peridynamics in a Molecular Dynamics Code SIAM Conference of Mathematical Aspects of Materials Science https://www.osti.gov/search/identifier:1709095 Document ID: 5261866

Heidi K. Thornquist, Michael A. Heroux, Michael L. Parks, Richard B. Lehoucq, (2008). Belos: A Framework for Next-generation Iterative Linear Solvers Copper Mountain Conference on Iterative Methods https://www.osti.gov/search/identifier:1712856 Document ID: 5260964

Michael L. Parks, Steven J. Plimpton, Richard B. Lehoucq, Stewart A. Silling, (2008). Peridynamics with LAMMPS: A User Guide https://www.osti.gov/search/identifier:959309 Document ID: 5258515

Stewart A. Silling, Richard B. Lehoucq, (2007). Atoms and Peridynamic Continua Society for Natural Philosophy Meeting https://www.osti.gov/search/identifier:1146475 Document ID: 5256853

Pavel B. Bochev, Samuel Scott Collis, Reese E. Jones, Richard B. Lehoucq, Michael L. Parks, Guglielmo Scovazzi, Stewart A. Silling, Jeremy Alan Templeton, Gregory J. Wagner, (2007). A Mathematical Framework for Multiscale Science and Engineering: the Variational Multiscale Method and Interscale Transfer Operators https://www.osti.gov/search/identifier:922756 Document ID: 5256010

Pavel B. Bochev, Mark Allen Christon, Samuel Scott Collis, Richard B. Lehoucq, John N. Shadid, Alexander Slepoy, Gregory J. Wagner, (2007). A Mathematical Framework for Multiscale Science and Engineering: The Variational Multiscale Method and Interscale Transfer OperatorsThe Variational Multiscale Method and Interscale Transfer Operators https://www.osti.gov/search/identifier:975255 Document ID: 5222823

John N. Shadid, Andrew G. Salinger, Roger P. Pawlowski, Paul Lin, Gary L. Hennigan, Raymond S. Tuminaro, Richard B. Lehoucq, (2007). Large-scale Stabilized FE Computational Analysis of Nonlinear Steady State Transport/Reaction SystemsSteady State Transport/Reaction Systems Computer Methods in Applied Mechanics and Engineering https://www.osti.gov/search/identifier:971834 Document ID: 5232490

Ulrich Ladislas Lucien Hetmaniuk, Richard B. Lehoucq, (2007). Uniform Accuracy of Eigenpairs for a Shift-invert Lanczos Method SIAM Journal on Matrix Analysis and Applications Special issue on accurate solution of eigenvalue p https://www.osti.gov/search/identifier:972461 Document ID: 5231685

Ulrich Ladislas Lucien Hetmaniuk, Richard B. Lehoucq, (2007). A New Rayleigh Quotient Minimization Algorithm Based on Algebraic Multigrid 12th Copper Mountain Conference https://www.osti.gov/search/identifier:952363 Document ID: 5231188

Michael L. Parks, Richard B. Lehoucq, Pavel B. Bochev, Santiago Badia, Max Gunzburger, Jacob Fish, Mark Shepard, Mohan Nuggehally, Catalin Picu, (2007). Connecting Domain Decomposition and Atomistic-to-Continuum (AtC) Coupling Visit to ORNL https://www.osti.gov/search/identifier:1723060 Document ID: 5251699

Ulrich Ladislas Lucien Hetmaniuk, Richard B. Lehoucq, (2007). A New Rayleigh Quotient Minimization Algorithm Based on Algebraic Multigrid Copper Mountain conference on multigrid methods. https://www.osti.gov/search/identifier:948232 Document ID: 5229174

John N. Shadid, Andrew G. Salinger, Roger P. Pawlowski, Paul Lin, Gary L. Hennigan, Raymond S. Tuminaro, Richard B. Lehoucq, (2007). Large-scale Stabilized FE Computational Analysis of Nonlinear Steady State Transport/Reaction Systems Computational Methods in Applied Mechanics and Engineering https://www.osti.gov/search/identifier:915168 Document ID: 5228058

Stewart A. Silling, Richard B. Lehoucq, (2007). Force Flux and the Peridynamic Stress Tensor Seventh Biennial Tri-lab engineering meeting https://www.osti.gov/search/identifier:1157553 Document ID: 5250782

Devon Dalton, Jeremy Alan Templeton, Michael L. Parks, Richard B. Lehoucq, David Olmsted, Gregory J. Wagner, (2007). An Atomistic-to-Continuum Coupling Method for Non-Equilibrium Heat Transfer in Solids Second Workshop on Atomistic-to-Continuum Coupling Methods https://www.osti.gov/search/identifier:1157540 Document ID: 5250877

Ulrich Ladislas Lucien Hetmaniuk, Heidi K. Thornquist, Christopher Grover Baker, Richard B. Lehoucq, (2007). Anasazi software for the numerical solution of large-scale eigenvalue problems ACM Transactions on Math Software https://www.osti.gov/search/identifier:903141 Document ID: 5249018

Paul Crozier, Gary S. Grest, Ahmed Ismail, Richard B. Lehoucq, Steven J. Plimpton, Mark J. Stevens, Andrei I. Draganescu, Rudranarayan M. Mukherjee, Thomas B. Woolf, (2007). Substructured Multibody Molecular Dynamics https://www.osti.gov/search/identifier:902881 Document ID: 5247411

Jonathan A. Zimmerman, Samuel Scott Collis, Huei Eliot Fang, Jean Ling Lee, Richard B. Lehoucq, Neville R. Moody, Steven J. Plimpton, (2006). Multidisciplinary Approaches to Science for Nanoscale Interfaces https://www.osti.gov/search/identifier:1725675 Document ID: 5246351

Billy C. Brock, Richard B. Lehoucq, Olaf Weckner, Abe Askari, Stewart A. Silling, (2006). Spanning the Length Scales with Peridynamics 7th World Conference on Computational Mechanics https://www.osti.gov/search/identifier:892769 Document ID: 5244191

Gregory J. Wagner, Reese E. Jones, Michael L. Parks, Alexander Slepoy, Richard B. Lehoucq, (2006). Atomistic-to-continuum coupling for heat transfer in solids World Congress on Computational Mechanics https://www.osti.gov/search/identifier:893560 Document ID: 5244124

Michael L. Parks, Pavel B. Bochev, Richard B. Lehoucq, (2006). Relating Atomistic-to-Continuum Coupling and Domain Decomposition World Congress on Computational Mechanics VII https://www.osti.gov/search/identifier:1264727 Document ID: 5244271

Paul Crozier, Steven J. Plimpton, Mark J. Stevens, Richard B. Lehoucq, Kurt Anderson, Rudranarayan Mukherjee, Thomas Woolf, (2006). Substructured Multibody Molecular Dynamics 2006 CIS External Review https://www.osti.gov/search/identifier:1729782 Document ID: 5243098

Stuart L. Kupferman, Roger P. Pawlowski, Richard B. Lehoucq, Louis Romero, Edward D. Wilkes, (2002). LOCA 1.0 Library of Continuation Algorithms: Theory and Implementatio Manual https://www.osti.gov/search/identifier:800778 Document ID: 4186900

Pavel B. Bochev, Richard B. Lehoucq, Richard B. Lehoucq, (2002). Regularized Formulatons of FETI 14th International Conference on Domain Decomposition Methods https://www.osti.gov/search/identifier:800778 Document ID: 4244000

Pavel B. Bochev, Richard B. Lehoucq, (2002). Energy Principles and Finite Element Methods for Pure Traction Linear Elasticity Computer Methods in Applied Mechanics and Engineering https://www.osti.gov/search/identifier:800778 Document ID: 4196900

Stuart L. Kupferman, Richard B. Lehoucq, Roger P. Pawlowski, John N. Shadid, (2002). Computational Bifurcation and Stability Studies of the 8:1 Thermal Cavity Problem International Journal for Numerical Methods in Fluids https://www.osti.gov/search/identifier:800778 Document ID: 4185200

Jeremy Lieber Sprung, Richard B. Lehoucq, (2002). Krylov Subspace Iterations for Deterministic k-Eigenvalue Calculations Nuclear Science and Engineering https://www.osti.gov/search/identifier:800778 Document ID: 4432000

Elizabeth A Burroughs, Louis Romero, Richard B. Lehoucq, Andrew G. Salinger, Andrew G. Salinger, (2002). Linear Stability of Flow in a Differentially Heated Cavity via Large-Scale Eigenvalue Calculations International Journal for numerical Methods in Heat and Fluid Flow https://www.osti.gov/search/identifier:800778 Document ID: 4452000

Stuart L. Kupferman, Roger P. Pawlowski, Edward D. Wilkes, Richard B. Lehoucq, Louis Romero, (2002). GNU Lesser General Public License Version 2.1, February 1999 https://www.osti.gov/search/identifier:800778 Document ID: 4185000

Elizabeth A Burroughs, Richard B. Lehoucq, Andrew G. Salinger, (2001). Large Scale Eigenvalue Calculations for Computing the Stability of Buoyancy Driven Flows Journal of Computational Physics https://www.osti.gov/search/identifier:782594 Document ID: 3753500

Pavel B. Bochev, Richard B. Lehoucq, Richard B. Lehoucq, (2001). On Finite Element Discretizations of the Pure Neuman Problem Computer Methods in applied Mechanics and Engineering https://www.osti.gov/search/identifier:782594 Document ID: 3816100

Jeremy Lieber Sprung, Richard B. Lehoucq, (2001). An Automated Multilevel Substructuring Method for Eigenspace Computaton in Linear Elastodynamics SUAM Journal of Scientific Computing https://www.osti.gov/search/identifier:782594 Document ID: 4073200

Stuart L. Kupferman, Richard B. Lehoucq, Roger P. Pawlowski, John N. Shadid, (2000). Understanding the 8:1 Cavity Problem via Scalable Stability Analysis Algorithms First MIT Conference of Computational Fluid and Structural Mechanics https://www.osti.gov/search/identifier:782594 Document ID: 3694100

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