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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

8 December 2020
Huaiqian You
Yue Yu
Stewart Silling
M. DÉlia
ArXiv (abs)PDFHTML

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

13 / 13 papers shown
Neural Contrast Expansion for Explainable Structure-Property Prediction and Random Microstructure Design
Neural Contrast Expansion for Explainable Structure-Property Prediction and Random Microstructure Design
Guangyu Nie
Yang Jiao
Yi Ren
115
0
0
23 Aug 2025
Embedded Nonlocal Operator Regression (ENOR): Quantifying model error in
  learning nonlocal operators
Embedded Nonlocal Operator Regression (ENOR): Quantifying model error in learning nonlocal operators
Yiming Fan
H. Najm
Yue Yu
Stewart Silling
M. DÉlia
UQCV
163
1
0
27 Oct 2024
ML-based identification of the interface regions for coupling local and
  nonlocal models
ML-based identification of the interface regions for coupling local and nonlocal models
Noujoud Nader
Patrick Diehl
Marta DÉlia
Christian Glusa
Serge Prudhomme
177
1
0
23 Apr 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model
  for Complex Material Responses
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material ResponsesComputer Methods in Applied Mechanics and Engineering (CMAME), 2024
S. Jafarzadeh
Stewart Silling
Ning Liu
Zhongqiang Zhang
Yue Yu
AI4CE
342
37
0
11 Jan 2024
Learning Homogenization for Elliptic Operators
Learning Homogenization for Elliptic OperatorsSIAM Journal on Numerical Analysis (SINUM), 2023
K. Bhattacharya
Nikola B. Kovachki
Aakila Rajan
Andrew M. Stuart
Margaret Trautner
AI4CE
268
11
0
21 Jun 2023
Towards a unified nonlocal, peridynamics framework for the
  coarse-graining of molecular dynamics data with fractures
Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fracturesApplied Mathematics and Mechanics (AMM), 2023
Huaiqian You
Xiao Xu
Yue Yu
Stewart Silling
M. DÉlia
J. Foster
AI4CE
290
11
0
11 Jan 2023
Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning
  Framework of Nonlocal Models with Uncertainty Quantification
Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification
Yiming Fan
M. DÉlia
Yue Yu
H. Najm
Stewart Silling
230
6
0
06 Oct 2022
MetaNOR: A Meta-Learnt Nonlocal Operator Regression Approach for
  Metamaterial Modeling
MetaNOR: A Meta-Learnt Nonlocal Operator Regression Approach for Metamaterial ModelingMRS Communications (MRS Commun.), 2022
Jun Liu
Huaiqian You
Yue Yu
OffRL
191
7
0
04 Jun 2022
Nonparametric learning of kernels in nonlocal operators
Nonparametric learning of kernels in nonlocal operatorsJournal of Peridynamics and Nonlocal Modeling (JPNM), 2022
Fei Lu
Qi An
Yue Yu
248
26
0
23 May 2022
Data adaptive RKHS Tikhonov regularization for learning kernels in
  operators
Data adaptive RKHS Tikhonov regularization for learning kernels in operatorsMathematical and Scientific Machine Learning (MSML), 2022
Fei Lu
Quanjun Lang
Qi An
193
16
0
08 Mar 2022
Machine Learning in Heterogeneous Porous Materials
Machine Learning in Heterogeneous Porous Materials
Martha DÉli
H. Deng
Cedric G. Fraces
K. Garikipati
L. Graham‐Brady
...
H. Tchelepi
B. Važić
Hari S. Viswanathan
H. Yoon
P. Zarzycki
AI4CE
240
12
0
04 Feb 2022
A physics-informed variational DeepONet for predicting the crack path in
  brittle materials
A physics-informed variational DeepONet for predicting the crack path in brittle materials
S. Goswami
Minglang Yin
Yue Yu
G. Karniadakis
AI4CE
225
278
0
16 Aug 2021
A data-driven peridynamic continuum model for upscaling molecular
  dynamics
A data-driven peridynamic continuum model for upscaling molecular dynamics
Huaiqian You
Yue Yu
Stewart Silling
M. DÉlia
AI4CE
153
55
0
04 Aug 2021
1
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