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2020 – today
- 2024
[i30]Noujoud Nader, Patrick Diehl, Marta D'Elia, Christian Glusa, Serge Prudhomme:
ML-based identification of the interface regions for coupling local and nonlocal models. CoRR abs/2404.15388 (2024)- 2023
- [j19]Manuel Klar, Giacomo Capodaglio
, Marta D'Elia, Christian Glusa, Max D. Gunzburger, Christian Vollmann:
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. Comput. Math. Appl. 151: 434-448 (2023) - [j18]Christian Glusa, Marta D'Elia, Giacomo Capodaglio, Max D. Gunzburger, Pavel B. Bochev:
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps. SIAM J. Sci. Comput. 45(3): 1359-1384 (2023) - [i29]Huaiqian You, Xiao Xu, Yue Yu, Stewart Silling, Marta D'Elia, John T. Foster:
Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures. CoRR abs/2301.04540 (2023) - [i28]Rini Jasmine Gladstone, Helia Rahmani, Vishvas Suryakumar, Hadi Meidani, Marta D'Elia, Ahmad Zareei:
GNN-based physics solver for time-independent PDEs. CoRR abs/2303.15681 (2023) - [i27]Manuel Klar, Giacomo Capodaglio, Marta D'Elia, Christian Glusa, Max D. Gunzburger, Christian Vollmann:
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. CoRR abs/2306.00094 (2023) - 2022
- [j17]Olena Burkovska, Christian Glusa, Marta D'Elia:
An optimization-based approach to parameter learning for fractional type nonlocal models. Comput. Math. Appl. 116: 229-244 (2022) - [j16]Huaiqian You, Yue Yu, Marta D'Elia, Tian Gao, Stewart Silling:
Nonlocal kernel network (NKN): A stable and resolution-independent deep neural network. J. Comput. Phys. 469: 111536 (2022) - [i26]Huaiqian You, Yue Yu, Marta D'Elia, Tian Gao, Stewart Silling:
Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network. CoRR abs/2201.02217 (2022) - [i25]Xiao Xu, Marta D'Elia, Christian Glusa, John T. Foster:
Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves. CoRR abs/2201.11146 (2022) - [i24]Marco Pasetto, Zhaoxiang Shen, Marta D'Elia, Xiaochuan Tian, Nathaniel Trask, David Kamensky:
Efficient optimization-based quadrature for variational discretization of nonlocal problems. CoRR abs/2201.12391 (2022) - [i23]Marta D'Elia, Hang Deng, Cedric G. Fraces, Krishna C. Garikipati, Lori Graham-Brady, Amanda A. Howard, George Em Karniadakis, Vahid Keshavarzzadeh, Robert M. Kirby, J. Nathan Kutz, Chunhui Li, Xing Liu, Hannah Lu, Pania Newell, Daniel O'Malley, Masa Prodanovic, Gowri Srinivasan, Alexandre M. Tartakovsky, Daniel M. Tartakovsky, Hamdi A. Tchelepi, Bozo Vazic, Hari S. Viswanathan, Hongkyu Yoon, Piotr Zarzycki:
Machine Learning in Heterogeneous Porous Materials. CoRR abs/2202.04137 (2022) - [i22]Christian Glusa, Marta D'Elia, Giacomo Capodaglio, Max D. Gunzburger, Pavel B. Bochev:
An asymptotically compatible coupling formulation for nonlocal interface problems with jumps. CoRR abs/2203.07565 (2022) - [i21]Tiffany Fan, Nathaniel Trask, Marta D'Elia, Eric Darve:
Probabilistic partition of unity networks for high-dimensional regression problems. CoRR abs/2210.02694 (2022) - [i20]Yiming Fan, Marta D'Elia, Yue Yu, Habib N. Najm, Stewart Silling:
Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification. CoRR abs/2211.01330 (2022) - 2021
- [j15]Marta D'Elia, Juan Carlos de los Reyes, Andrés Miniguano-Trujillo:
Bilevel Parameter Learning for Nonlocal Image Denoising Models. J. Math. Imaging Vis. 63(6): 753-775 (2021) - [j14]Christian Glusa, Harbir Antil, Marta D'Elia, Bart G. van Bloemen Waanders, Chester J. Weiss:
A Fast Solver for the Fractional Helmholtz Equation. SIAM J. Sci. Comput. 43(2): A1362-A1388 (2021) - [c3]Huaiqian You, Yue Yu, Stewart Silling, Marta D'Elia:
Data-driven Learning of Nonlocal Models: from high-fidelity simulations to constitutive laws. AAAI Spring Symposium: MLPS 2021 - [i19]Xiao Xu, Marta D'Elia, John T. Foster:
A machine-learning framework for peridynamic material models with physical constraints. CoRR abs/2101.01095 (2021) - [i18]Marta D'Elia, Mamikon A. Gulian:
Analysis of Anisotropic Nonlocal Diffusion Models: Well-posedness of Fractional Problems for Anomalous Transport. CoRR abs/2101.04289 (2021) - [i17]Eugenio Aulisa, Giacomo Capodaglio, Andrea Chierici, Marta D'Elia:
Efficient quadrature rules for finite element discretizations of nonlocal equations. CoRR abs/2101.08825 (2021) - [i16]Marta D'Elia, Christian Glusa:
A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems. CoRR abs/2101.11765 (2021) - [i15]Xiao Xu, Christian Glusa, Marta D'Elia, John T. Foster:
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems. CoRR abs/2105.07309 (2021) - [i14]Marta D'Elia, Yue Yu:
On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models. CoRR abs/2107.04450 (2021) - [i13]Huaiqian You, Yue Yu, Stewart Silling, Marta D'Elia:
A data-driven peridynamic continuum model for upscaling molecular dynamics. CoRR abs/2108.04883 (2021) - [i12]Marta D'Elia, David J. Littlewood, Jeremy Trageser, Mauro Perego, Pavel B. Bochev:
An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions. CoRR abs/2110.04420 (2021) - 2020
- [j13]Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou:
Numerical methods for nonlocal and fractional models. Acta Numer. 29: 1-124 (2020) - [j12]Guofei Pang, Marta D'Elia, Michael L. Parks, George E. Karniadakis:
nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications. J. Comput. Phys. 422: 109760 (2020) - [j11]Marta D'Elia, Xiaochuan Tian, Yue Yu:
A Physically Consistent, Flexible, and Efficient Strategy to Convert Local Boundary Conditions into Nonlocal Volume Constraints. SIAM J. Sci. Comput. 42(4): A1935-A1949 (2020) - [c2]Marta D'Elia, George E. Karniadakis, Guofei Pang, Michael L. Parks:
Nonlocal Physics-Informed Neural Networks - A Unified Theoretical and Computational Framework for Nonlocal Models. AAAI Spring Symposium: MLPS 2020 - [i11]Giacomo Capodaglio, Marta D'Elia, Pavel B. Bochev, Max D. Gunzburger:
An energy-based coupling approach to nonlocal interface problems. CoRR abs/2001.03696 (2020) - [i10]Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou:
Numerical methods for nonlocal and fractional models. CoRR abs/2002.01401 (2020) - [i9]Guofei Pang, Marta D'Elia, Michael L. Parks, George E. Karniadakis:
nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications. CoRR abs/2004.04276 (2020) - [i8]Huaiqian You, Yue Yu, Nathaniel Trask, Mamikon A. Gulian, Marta D'Elia:
Data-driven learning of robust nonlocal physics from high-fidelity synthetic data. CoRR abs/2005.10076 (2020) - [i7]Marta D'Elia, Max D. Gunzburger, Christian Vollmann:
A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls. CoRR abs/2005.10775 (2020) - [i6]Giacomo Capodaglio, Marta D'Elia, Max D. Gunzburger, Pavel B. Bochev, Manuel Klar, Christian Vollmann:
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. CoRR abs/2008.11780 (2020) - [i5]Olena Burkovska, Christian Glusa, Marta D'Elia:
An optimization-based approach to parameter learning for fractional type nonlocal models. CoRR abs/2010.03666 (2020) - [i4]Huaiqian You, Yue Yu, Stewart Silling, Marta D'Elia:
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws. CoRR abs/2012.04157 (2020)
2010 – 2019
- 2019
- [j10]Marta D'Elia, Christian Glusa, Enrique Otárola:
A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian. SIAM J. Control. Optim. 57(4): 2775-2798 (2019) - [i3]Marta D'Elia, Pavel B. Bochev:
Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method. CoRR abs/1910.11214 (2019) - [i2]Jorge L. Suzuki, Yongtao Zhou, Marta D'Elia, Mohsen Zayernouri:
A Thermodynamically Consistent Fractional Visco-Elasto-Plastic Model with Memory-Dependent Damage for Anomalous Materials. CoRR abs/1911.07114 (2019) - 2018
- [j9]Marta D'Elia, H. Carter Edwards, Jonathan J. Hu, Eric T. Phipps, Sivasankaran Rajamanickam:
Ensemble Grouping Strategies for Embedded Stochastic Collocation Methods Applied to Anisotropic Diffusion Problems. SIAM/ASA J. Uncertain. Quantification 6(1): 87-117 (2018) - 2017
- [j8]Marta D'Elia, Qiang Du, Max D. Gunzburger, Richard B. Lehoucq:
Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes. Comput. Methods Appl. Math. 17(4): 707-722 (2017) - [j7]Eric T. Phipps, Marta D'Elia, H. Carter Edwards, Mark Hoemmen, Jonathan J. Hu, Sivasankaran Rajamanickam:
Embedded Ensemble Propagation for Improving Performance, Portability, and Scalability of Uncertainty Quantification on Emerging Computational Architectures. SIAM J. Sci. Comput. 39(2) (2017) - 2016
- [j6]Marta D'Elia, Mauro Perego, Pavel B. Bochev, David J. Littlewood:
A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions. Comput. Math. Appl. 71(11): 2218-2230 (2016) - [j5]Marta D'Elia, Denis Ridzal, Kara J. Peterson, Pavel B. Bochev, Mikhail J. Shashkov:
Optimization-based mesh correction with volume and convexity constraints. J. Comput. Phys. 313: 455-477 (2016) - 2015
- [i1]Eric T. Phipps, Marta D'Elia, H. Carter Edwards, Mark Hoemmen, Jonathan J. Hu, Sivasankaran Rajamanickam:
Embedded Ensemble Propagation for Improving Performance, Portability and Scalability of Uncertainty Quantification on Emerging Computational Architectures. CoRR abs/1511.03703 (2015) - 2014
- [j4]Marta D'Elia, Max D. Gunzburger:
Optimal Distributed Control of Nonlocal Steady Diffusion Problems. SIAM J. Control. Optim. 52(1): 243-273 (2014) - 2013
- [j3]Marta D'Elia, Max D. Gunzburger:
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Comput. Math. Appl. 66(7): 1245-1260 (2013) - [j2]Marta D'Elia, Max D. Gunzburger:
Coarse-Grid Sampling Interpolatory Methods for Approximating Gaussian Random Fields. SIAM/ASA J. Uncertain. Quantification 1(1): 270-296 (2013) - 2012
- [j1]Marta D'Elia, Mauro Perego, Alessandro Veneziani:
A Variational Data Assimilation Procedure for the Incompressible Navier-Stokes Equations in Hemodynamics. J. Sci. Comput. 52(2): 340-359 (2012) - 2010
- [c1]Marta D'Elia, Alessandro Veneziani:
Methods for assimilating blood velocity measures in hemodynamics simulations: Preliminary results. ICCS 2010: 1231-1239
Coauthor Index
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last updated on 2024-06-04 20:42 CEST by the dblp team
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