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Publication	Type	Year
Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves Marta D'Elia, Christian Alexander Glusa, Xiao Xu, John Foster https://www.osti.gov/search/identifier:1842267	Report – 2022 Report	2022
Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network Marta D'Elia, Stewart A. Silling, Yue Yu, Huaiqian You, Tian Gao https://www.osti.gov/search/identifier:1855045	Report – 2022 Report	2022
Peridynamic Model for Single-Layer Graphene Obtained from Coarse Grained Bond Forces Journal of Peridynamics and Nonlocal Modeling Stewart A. Silling, Marta D'Elia, Yue (Lehigh Univ.) Yu, Huaiqian (Lehigh Univ.) You, Fermen-Coker (ARL)	Journal Article – 2021 Journal Article	2021
An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions Marta D'Elia, Pavel B. Bochev, Mauro Perego, Jeremy Trageser, David John Littlewood https://www.osti.gov/search/identifier:1825041	Report – 2021 Report	2021
Data driven learning of robust nonlocalmodels Marta D'Elia, Stewart A. Silling, Huaiqian You, Yue Yu https://www.osti.gov/search/identifier:1820240	SAND Report – 2021 SAND Report	2021
ASCEND: Asymptotically compatible strong form foundations for nonlocal discretization Nathaniel Albert Trask, Marta D'Elia, David John Littlewood, Stewart A. Silling, Jeremy Trageser, Michael R. Tupek https://www.osti.gov/search/identifier:1820006	SAND Report – 2021 SAND Report	2021
Peridynamic Model for Single-Layer Graphene Obtained from Coarse Grained Bond Forces Marta D'Elia, Stewart A. Silling, Huaiqian You, Yue Yu, Muge Fermen-Coker https://www.osti.gov/search/identifier:1819404	Report – 2021 Report	2021
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems Computer Methods in Applied Mechanics and Engineering Xiao Xu, Xiao Xu, Christian Alexander Glusa, Marta D'Elia, John T. Foster, John T. Foster https://www.osti.gov/search/identifier:1820426	Journal Article – 2021 Journal Article	2021
A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems Numerical Methods for Partial Differential Equations Marta D'Elia, Christian Alexander Glusa	Journal Article – 2021 Journal Article	2021
A data-driven peridynamic continuum model for upscaling molecular dynamics Marta D'Elia, Stewart A. Silling, Yue Yu, Huaiqian You https://www.osti.gov/search/identifier:1821529	Report – 2021 Report	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
A data-driven peridynamic continuum model for upscaling molecular dynamics 2021 MLDL workshop Marta D'Elia, Stewart A. Silling, Huaiqian You, Yu Yue	Conference Presentation – 2021 Conference Presentation	2021
An optimization-based approach to parameter learning for fractional type nonlocal models Computer and Mathematics with Applications Marta D'Elia, Christian Alexander Glusa, Olena Burkovska https://www.osti.gov/search/identifier:1787538	Journal Article – 2021 Journal Article	2021
Coarse-grained peridynamic model for graphene SIAM Conference on Mathematical Aspects of Materials Science Stewart A. Silling, Marta D'Elia, Yue (Lehigh Univ) Yu, Huaiqian (Lehigh Univ) You, Muge (ARL)-ext Fermen-Coker https://www.osti.gov/search/identifier:1869554	Conference Presentation – 2021 Conference Presentation	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
Numerical methods for nonlocal and fractional models Acta Numerica Marta D'Elia, Qiang Du, Christian Alexander Glusa, Max Donald Gunzburger, Xiaochuan Tian, Zhi Zhou https://www.osti.gov/search/identifier:1769927	Journal Article – 2021 Journal Article	2021
Coarse-grained peridynamic model for graphene SIAM Conference on Mathematical Aspects of Materials Science Stewart A. Silling, Marta D'Elia, Yue (Lehigh Univ) Yu, Huaiqian (Lehigh Univ) You, Muge (ARL) Fermen-Coker	Abstract – 2021 Abstract	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
A Fast Solver for the Fractional Helmholtz Equation SIAM Journal on Scientific Computing Christian Alexander Glusa, Christian Alexander Glusa, Marta D'Elia, Harbir Antil, Chester J Weiss, Bart G van Bloemen Waanders https://www.osti.gov/search/identifier:1765762	Journal Article – 2021 Journal Article	2021
Nonlocal operators with variable coefficients One Nonlocal World, Opening Event Christian Alexander Glusa, Marta D'Elia https://www.osti.gov/search/identifier:1854680	Conference Poster – 2021 Conference Poster	2021
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws Marta D'Elia, Stewart A. Silling, Huaiqian You, Yue Yu https://www.osti.gov/search/identifier:1735693	Report – 2020 Report	2020
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws Workshop on Mathematical Machine Learning and Application Marta D'Elia, Stewart A. Silling, Huaiqian You, Yue Yu https://www.osti.gov/search/identifier:1835229	Conference Poster – 2020 Conference Poster	2020
An optimization-based approach to parameter learning for fractional type nonlocal models Marta D'Elia, Christian Alexander Glusa, Olena Burkovska https://www.osti.gov/search/identifier:1673822	Report – 2020 Report	2020
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions Marta D'Elia, Pavel B. Bochev, Max Donald Gunzburger, Giacomo Capodaglio, Manuel Klar, Christian Vollman https://www.osti.gov/search/identifier:1656938	Report – 2020 Report	2020
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions Marta D'Elia, Pavel B. Bochev, Max Donald Gunzburger, Giacomo Capodaglio, Manuel Klar, Christian Vollman https://www.osti.gov/search/identifier:1656937	Report – 2020 Report	2020
Document Title	Type	Year

Results 1–25 of 89

Publications

Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves

Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network

Peridynamic Model for Single-Layer Graphene Obtained from Coarse Grained Bond Forces

An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions

Data driven learning of robust nonlocalmodels

ASCEND: Asymptotically compatible strong form foundations for nonlocal discretization

Peridynamic Model for Single-Layer Graphene Obtained from Coarse Grained Bond Forces

A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems

A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems

A data-driven peridynamic continuum model for upscaling molecular dynamics

nPINNS: Nonlocal Physics-Informed Neural Networks

A data-driven peridynamic continuum model for upscaling molecular dynamics

An optimization-based approach to parameter learning for fractional type nonlocal models

Coarse-grained peridynamic model for graphene

nPINNS: Nonlocal Physics-Informed Neural Networks

Numerical methods for nonlocal and fractional models

Coarse-grained peridynamic model for graphene

nPINNs: nonlocal Physics-Informed Neural Networks

A Fast Solver for the Fractional Helmholtz Equation

Nonlocal operators with variable coefficients

Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws

Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws

An optimization-based approach to parameter learning for fractional type nonlocal models

A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions

A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions