Publications

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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