Presentations

Invited Presentations

On Neumann-type Boundary Conditions for Nonlocal Models, Workshop on Theoretical and Applied Aspects for Nonlocal Models, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada, July 18, 2022.

On Neumann-type Boundary Conditions for Nonlocal Models, 9th U.S. National Congress on Theoretical and Applied Mechanics, Austin, Texas, June 21, 2022.

Research and Opportunities in the Mathematical Sciences at Sandia National Laboratories, Joint Mathematics Meetings (JMM 2022), Virtual, April 8, 2022.

On Neumann-type Boundary Conditions for Nonlocal Models, Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology (MMLDT-CSET), San Diego, California (virtual), September 27, 2021.

nPINNS: Nonlocal Physics-Informed Neural Networks16th U.S. National Congress on Computational Mechanics, Chicago, Illinois, (virtual) July 29, 2021.

Computational Aspects of Nonlocal Models, Center for Nonlinear Analysis, Department of Mathematical Science, MCS, Carnegie Mellon University, Virtual, April 13, 2021.

nPINNS: Nonlocal Physics-Informed Neural NetworksSIAM Conference on Computational Science and Engineering, Virtual, March 4, 2021.

nPINNS: Nonlocal Physics-Informed Neural NetworksOne Nonlocal World, Virtual, January 23, 2021.

On Neumann-type Boundary Conditions for Nonlocal ModelsThe 5th Annual Meeting of SIAM Central States Section, Ames, Iowa, October 19, 2019.

On Neumann-type Boundary Conditions for Nonlocal Models, 9th International Congress on Industrial and Applied Mathematics, Valencia, Spain, July 16, 2019.

Subsurface Applications for PeridynamicsSIAM Conference on Computational Science and Engineering, Spokane, Washington, February 27, 2019.

Subsurface Applications for Peridynamics, Workshop on Dynamics, Control, and Numerics for Fractional PDEs, San Juan, Puerto Rico, December 6, 2018.

Solving Real-World Problems with Mathematics and ComputingDepartment of Mathematics ColloquiumUniversity of Nebraska-Lincoln, Lincoln, Nebraska, November 30, 2018.

Domain Decomposition Methods: Origins and Applications to Multiscale ModelingDepartment of Mathematics Continuum Mechanics SeminarUniversity of Nebraska-Lincoln, Lincoln, Nebraska, November 29, 2018.

Subsurface Applications for Peridynamics, 13th World Congress on Computational Mechanics, New York, New York, July 24, 2018.

Subsurface Applications for Peridynamics, 6th European Conference on Computational Mechanics, Glasgow, United Kingdom, June 12, 2018.

Computational and Mathematical Aspects of Nonlocal ModelsCenter for Shock Wave-processing of Advanced Reactive MaterialsUniversity of Notre Dame, South Bend, Indiana, April 17, 2018.

A Multi-Time-Step Method for Partitioned Time Integration of Peridynamics, Recent Trends in Pure and Applied Mathematics, "1 Decembrie 1918" University, Alba Iulia, Romania, August 2, 2017.

A Multi-Time-Step Method for Partitioned Time Integration of Peridynamics, 14th US National Congress on Computational Mechanics, Montreal, Canada, July 17, 2017.

Computational and Mathematical Aspects of Nonlocal ModelsCenter for Computational & Applied MathematicsPurdue University, West Lafayette, Indiana, April 24, 2017.

A Multi-Time-Step Method for Partitioned Time Integration of PeridynamicsSIAM Conference on Computational Science and Engineering, Atlanta, Georgia, March 2, 2017.

Nonlocal Models and PeridynamicsApplied Mathematics Seminar, Department of Mathematics, The George Washington University, Washington, DC, October 18, 2016.

A Multi-Time-Step Method for Partitioned Time Integration of Peridynamics, USACM Conference on Isogeometric Analysis and Meshfree Methods, La Jolla, California, October 11, 2016.

A Massively Parallel Scalable Implicit SPH SolverSIAM Conference on Nonlinear Waves and Coherent Structures, Philadelphia, Pennsylvania, August 10, 2016.

Computational and Mathematical Aspects of Nonlocal ModelsDepartment of Mathematics ColloquiumUniversity of Nebraska-Lincoln, Lincoln, Nebraska, February 26, 2016.

Nonlocal Models and PeridynamicsApplied Mathematics & Statistics Department SeminarColorado School of Mines, Golden, Colorado, January 29, 2016.

A Massively Parallel Scalable Implicit SPH SolverJoint Mathematics Meetings, Seattle, Washington, January 7, 2016.

A Multi-Time-Step Method for Partitioned Time Integration of Peridynamics, poster presentation, Workshop on Nonlocal Models in Mathematics, Computation, Science, and Engineering, Oak Ridge National Laboratory, Oak Ridge, Tennessee, October 27, 2015.

A Multi-Time-Step Method for Partitioned Time Integration of Peridynamics, 1st Pan-American Conference on Computational Mechanics, Buenos Aires, Argentina, April 28, 2015.

A Multi-Time-Step Method for Partitioned Time Integration of Peridynamics, Conference on Recent Developments in Continuum Mechanics and PDEs, Lincoln, Nebraska, April 18, 2015.

Quadrature Methods for PeridynamicsSIAM Conference on Analysis of Partial Differential Equations, Orlando, Florida, December 7, 2013.

Peridigm: A New Paradigm in Computational PeridynamicsSIAM Conference on Analysis of Partial Differential Equations, Orlando, Florida, December 7, 2013.

Peridigm: A New Paradigm in Computational Peridynamics, Workshop on Nonlocal Damage and Failure: Peridynamics and Other Nonlocal Models, San Antonio, Texas, March 11, 2013.

Peridigm: A New Paradigm in Computational PeridynamicsJoint Mathematics Meetings, San Diego, California, January 10, 2013.

Peridigm: A New Paradigm in Computational Peridynamics, ASME 2012 International Mechanical Engineering Congress & Exposition, Houston, Texas, November 14, 2012.

Solving Real-World Problems with Mathematics and Computing6th Annual Pi Mu Epsilon LectureUniversity of Nebraska-Lincoln, Lincoln, Nebraska, November 9, 2012.

Computational PeridynamicsDept. of Mathematics Continuum Mechanics Seminar, University of Nebraska-Lincoln, Lincoln, Nebraska, November 8, 2012.

Peridigm: A New Paradigm in Computational Peridynamics, 10th World Congress on Computational Mechanics, Sao Paulo, Brazil, July 11, 2012.

Computational Peridynamics, Workshop on Nonlocal Continuum Models for Diffusion, Mechanics, and Other Applications, The Statistical and Applied Mathematical Sciences Institute (SAMSI), RTP, North Carolina, June 29, 2012.

A New Approach for a Nonlocal, Nonlinear Conservation Law, Workshop on Nonlocal Continuum Models for Diffusion, Mechanics, and Other Applications, The Statistical and Applied Mathematical Sciences Institute (SAMSI), RTP, North Carolina, June 28, 2012.

Computational PeridynamicsWorkshop on Peridynamics, Dissipative Particle Dynamics and the Mori-Zwanzig FormulationBrown University, Providence, Rhode Island, April 10, 2012.

Peridynamics for Material FailureLos Alamos National Laboratory, Los Alamos, New Mexico, April 5, 2012.

Computational PeridynamicsDept. of MathematicsTemple University, Philadelphia, Pennsylvania, March 26, 2012.Computational Materials Modeling with Peridynamics6Lab Meeting: Engineering & Materials at Extreme Conditions, Barcelona, Spain, October 26, 2011.

Computational PeridynamicsInternational Center for Numerical Methods in Engineering (CIMNE)Universitat Polit├ęcnica de Catalunya , Barcelona, Spain, October 24, 2011.

A New Peridynamic-Inspired Approach to Nonlocal Advection2011 AMS Fall Central Section Meeting, Lincoln, Nebraska, October 14, 2011.

A New Approach to Nonlocal Advection, 11th US National Congress on Computational Mechanics, Minneapolis, Minnesota, July 26, 2011.

Computational PeridynamicsSIAM Conference on Computational Science and Engineering, Reno, Nevada, February 28, 2011.

Computational PeridynamicsMini-Workshop: Mathematical Analysis for PeridynamicsMathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, January 17, 2011.

Computational Peridynamics, ExxonMobil Research and Engineering Company, Annandale, New Jersey, November 5, 2010.

Peridynamics as an Upscaling of Molecular Dynamics, 16th US National Congress on Theoretical and Applied Mechanics (USNCTAM), State College, Pennsylvania, June 27-July 2, 2010.

Atomistic-to-Continuum Coupling Methods Based on Domain Decomposition, 16th US National Congress on Theoretical and Applied Mechanics (USNCTAM), State College, Pennsylvania, June 27-July 2, 2010.

Atomistic-to-Continuum Coupling Methods Based on Domain DecompositionSIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, Pennsylvania, May 23-26, 2010.

Mesoscale Simulations with Microscale Tools: Peridynamics in a Molecular Dynamics Code2010 LAMMPS Users WorkshopComputer Science Research InstituteSandia National Laboratories, Albuquerque, New Mexico, February 25, 2010.

Mesoscale Simulations with Microscale Tools: Peridynamics in a Molecular Dynamics Code, IAMCS Workshops on Computational and Mathematical Challenges in Material Science and Engineering: Multi-Scale Materials Modeling — Nano-Scale to Macro-Scale Materials Modeling and Hybrid Theories, Institute for Applied Mathematics and Computational ScienceTexas A&M University, College Station, Texas, December 2, 2009.

Peridynamics for Multiscale Materials ModelingWorkshop on scale transitions in space and time for materialsLorentz Center, Leiden, Netherlands, October 21, 2009.

Towards Multiscale Materials Modeling with Peridynamics, Dept. of Engineering Mechanics, University of Nebraska-Lincoln, Lincoln, Nebraska, October 6, 2009.

Molecular dynamics at larger scales: Peridynamics as an upscaling of molecular dynamics, 10th US National Congress of Computational Mechanics, Columbus, Ohio, July 18, 2009.

Mesoscale Simulations with Microscale Tools: Peridynamics in a Molecular Dynamics CodeThe 2009 Joint ASCE-ASME-SES Conference on Mechanics and MaterialsVirginia Tech, Blacksburg, Virginia., June 27, 2009.

Towards Multiscale Materials Modeling With Peridynamics, Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana., November 14, 2008.

Molecular dynamics at larger scales: Peridynamics as an upscaling of molecular dynamics, Fourth International Conference on Multiscale Materials Modeling, Tallahassee, Florida, October 27-31, 2008.

Mesoscale Simulations with Microscale Tools: Peridynamics in a Molecular Dynamics CodeSIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, Pennsylvania, May 11-14, 2008.

The Fast Solution of Sequences of Linear Systems via Subspace RecyclingSchool of Computational ScienceFlorida State University, Tallahassee, Florida, October 13, 2007.

Analysis of Krylov-subspace recycling for sequences of linear systems6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 17, 2007.

Connecting Domain Decomposition and Atomistic-to-Continuum (AtC) CouplingOak Ridge National Laboratories, Oak Ridge, Tennessee, May 1-2, 2007.

Connections Between Domain Decomposition and Atomistic-to-Continuum (AtC) CouplingDepartment of MathematicsVirginia Tech, Blacksburg, Virginia, October 4-6, 2006.

Relating Atomistic-to-Continuum Coupling and Domain Decomposition, 7th World Congress on Computational Mechanics, Los Angeles, California, July 16-22, 2006.

Fast Solution of Long Sequences of Linear Systems in Computational Mechanics, 7th World Congress on Computational Mechanics, Los Angeles, California, July 16-22, 2006. (Filled in for Eric de Sturler, who was unable to attend.)

Analysis of Krylov Subspace Recycling for Sequences of Linear SystemsSIAM Conference of Computational Science and Engineering, Orlando, Florida, February 12-15, 2005.

Recycling Krylov Subspaces for Sequences of Linear Systems, Annual Computational Science and Engineering Research Symposium, University of Illinois at Urbana-Champaign, Urbana, Illinois, April 27, 2004.

Robust Preconditioners and Solvers for Ill-Conditioned Equations from Nonlinear Finite Element Analysis, Annual Computational Science and Engineering Research Symposium, University of Illinois at Urbana-Champaign, Urbana, Illinois, April 25, 2003.

Contributed Presentations

Peridynamics for material failure, NECDC 2012, Lawrence Livermore National Laboratory, Livermore, California, October 24, 2012.

Peridynamics for multiscale materials modelingApplied Mathematics Principal Investigators Meeting, Argonne National Laboratory, Argonne, Illinois, October 15, 2008.

Relating atomistic-to-continuum coupling and domain decomposition6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 20, 2007.

The Fast Solution of Sequences of Linear Systems via Subspace Recycling, Seventh Biennial Tri-Laboratory Engineering Conference, Albuquerque, New Mexico, May 7-10, 2007.

Analysis of Krylov Subspace Recycling for Sequences of Linear Systems7th IMACS International Symposium on Iterative Methods in Scientific Computing, Toronto, Canada, May 5-6, 2005.

Recycling Krylov Subspaces for Sequences of Linear Systems, Midwest Numerical Analysis Day, University of Wisconsin-Milwaukee, Malwaukee, Wisconsin, April 24, 2004.

Improved Krylov Methods and A Framework for the Analysis of Preconditioners for Ill-Conditioned Equations Arising from Nonlinear Finite Element Analysis, 2003 International Conference On Preconditioning Techniques For Large Sparse Matrix Problems In Scientific And Industrial Applications, Napa, California, October 27-29, 2003.