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Publication	Type	Year
On Neumann-type Boundary Conditions for Nonlocal Models 9th U.S. National Congress on Theoretical and Applied Mechanics Michael L. Parks, Petronela Radu	Conference Presentation – 2022 Conference Presentation	2022
Research and Opportunities in the Mathematical Sciences at Sandia National Laboratories Joint Mathematics Meetings (JMM 2022) Michael L. Parks	Conference Presentation – 2022 Conference Presentation	2022
Krylov Subspace Recycling for Evolving Structures Computer Methods in Applied Mechanics and Engineering Matthias Bolten, Eric de Sturler, Camilla Hahn, Michael L. Parks	Journal Article – 2021 Journal Article	2021
On Neumann-type Boundary Conditions for Nonlocal Models Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology Michael L. Parks	Conference Presentation – 2021 Conference Presentation	2021
nPINNS: Nonlocal Physics-Informed Neural Networks 16th U.S. National Congress on Computational Mechanics Guofei Pang, Marta D'Elia, Michael L. Parks, George E. Karniadakis	Conference Presentation – 2021 Conference Presentation	2021
Computational Aspects of Nonlocal Models Center for Nonlinear Analysis, Department of Mathematical Sciences, Carnegie Mellon University Michael L. Parks	Presentation (non-conference) – 2021 Presentation (non-conference)	2021
nPINNS: Nonlocal Physics-Informed Neural Networks SIAM Conference on Computational Science and Engineering (CSE21) Goufei Pang, Michael L. Parks, Marta D'Elia, George Karniadakis https://www.osti.gov/search/identifier:1847466	Conference Presentation – 2021 Conference Presentation	2021
nPINNs: nonlocal Physics-Informed Neural Networks One Nonlocal World Goufei Pang, Marta D'Elia, Michael L. Parks, George Karniadakis https://www.osti.gov/search/identifier:1841537	Conference Presentation – 2021 Conference Presentation	2021
Summer Proceedings 2019 Michael L. Parks, Michael Powell https://www.osti.gov/search/identifier:1665933	Report – 2020 Report	2020
nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications Marta D'Elia, Michael L. Parks, Guofei Pang, George Karniadakis https://www.osti.gov/search/identifier:1614899	Report – 2020 Report	2020
Nonlocal Physics-Informed Neural Networks: A unified theoretical and computational framework for nonlocal models AAAI-MLPS 2020 (held virtually) Marta D'Elia, Michael L. Parks, Guofei Pang, George Karniadakis https://www.osti.gov/search/identifier:1772713	Conference Paper – 2020 Conference Paper	2020
Nonlocal Models and Peridynamics Computational Math Seminar Michael L. Parks https://www.osti.gov/search/identifier:1770834	Presentation (non-conference) – 2020 Presentation (non-conference)	2020
Peridynamics to Predict Fracturing in the Subsurface American Geophysical Union Fall Meeting Bart G van Bloemen Waanders, David John Littlewood, Daniel Z. Turner, Michael L. Parks https://www.osti.gov/search/identifier:1767099	Conference Paper – 2020 Conference Paper	2020
nPINNs: nonlocal Physics-Informed Neural Networks Coda2020 Marta D'Elia, Michael L. Parks, Guofei Pang, George Karniadakis https://www.osti.gov/search/identifier:1767113	Conference Paper – 2020 Conference Paper	2020
Nonlocal Physics-Informed Neural Networks ? A unified theoretical and computational framework for nonlocal models Aaai-mlps 2020 Marta D'Elia, Michael L. Parks, Guofei Pang, George Karniadakis	Abstract – 2019 Abstract	2019
Nonlocal Physics Informed Neural Networks SIAM Central States Section Meeting Marta D'Elia, Michael L. Parks, Nicole Buczkowski https://www.osti.gov/search/identifier:1642837	Conference Paper – 2019 Conference Paper	2019
On Neumann-type Boundary Conditions for Nonlocal Models International Congress on Industrial and Applied Mathematics Michael L. Parks, Petronela Radu https://www.osti.gov/search/identifier:1640998	Conference Paper – 2019 Conference Paper	2019
Summer Proceedings 2018, The Center for Computing Research at Sandia National Laboratories Attila Cangi, Michael L. Parks https://www.osti.gov/search/identifier:1762384	Report – 2019 Report	2019
On Neumann-type Boundary Conditions for Nonlocal Models 9th International Congress on Industrial and Applied Mathematics (ICIAM) Michael L. Parks, Petronela Radu	Abstract – 2019 Abstract	2019
Subsurface Applications for Peridynamics SIAM Conference on Computational Science and Engineering (CSE19) Michael L. Parks, Dan Turner, Bart van Bloeman Waanders, Rohan Panchadhara, Peter Gordon https://www.osti.gov/search/identifier:1601931	Conference Paper – 2019 Conference Paper	2019
Domain Decomposition Methods: Origins and Applications to Multiscale Modeling University of Nebraska Continuum Mechanics Seminar Michael L. Parks https://www.osti.gov/search/identifier:1806997	Presentation (non-conference) – 2018 Presentation (non-conference)	2018
Solving Real-World Problems with Mathematics and Computing University of Nebraska Math Department Colloquium Michael L. Parks https://www.osti.gov/search/identifier:1806983	Presentation (non-conference) – 2018 Presentation (non-conference)	2018
Subsurface Applications for Peridynamics Workshop on Dynamics, Control and Numerics for Fractional PDEs Michael L. Parks, Daniel Z. Turner, Bart G van Bloemen Waanders, Rohan Panchadhara, Peter Gordon https://www.osti.gov/search/identifier:1575975	Conference Paper – 2018 Conference Paper	2018
An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics Computer Methods in Applied Mechanics and Engineering Nathaniel Albert Trask, Huaiqian You, Yue Yu, Michael L. Parks https://www.osti.gov/search/identifier:1474082	Journal Article – 2018 Journal Article	2018
Subsurface Applications for Peridynamics 6th European Congress on Computational Mechanics Michael L. Parks, Daniel Z. Turner, Bart G van Bloemen Waanders, Rohan Panchadhara, Peter Gordon https://www.osti.gov/search/identifier:1505286	Conference Paper – 2018 Conference Paper	2018
Document Title	Type	Year

Results 1–25 of 112

Publications

On Neumann-type Boundary Conditions for Nonlocal Models

Research and Opportunities in the Mathematical Sciences at Sandia National Laboratories

Krylov Subspace Recycling for Evolving Structures

On Neumann-type Boundary Conditions for Nonlocal Models

nPINNS: Nonlocal Physics-Informed Neural Networks

Computational Aspects of Nonlocal Models

nPINNS: Nonlocal Physics-Informed Neural Networks

nPINNs: nonlocal Physics-Informed Neural Networks

Summer Proceedings 2019

nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications

Nonlocal Physics-Informed Neural Networks: A unified theoretical and computational framework for nonlocal models

Nonlocal Models and Peridynamics

Peridynamics to Predict Fracturing in the Subsurface

nPINNs: nonlocal Physics-Informed Neural Networks

Nonlocal Physics-Informed Neural Networks ? A unified theoretical and computational framework for nonlocal models

Nonlocal Physics Informed Neural Networks

On Neumann-type Boundary Conditions for Nonlocal Models

Summer Proceedings 2018, The Center for Computing Research at Sandia National Laboratories

On Neumann-type Boundary Conditions for Nonlocal Models

Subsurface Applications for Peridynamics

Domain Decomposition Methods: Origins and Applications to Multiscale Modeling

Solving Real-World Problems with Mathematics and Computing

Subsurface Applications for Peridynamics

An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics

Subsurface Applications for Peridynamics