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Marta D'Elia
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Journal Articles
- 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
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps. SIAM J. Sci. Comput. 45(3): 1359-1384 (2023) - 2022
- [j17]Olena Burkovska
An optimization-based approach to parameter learning for fractional type nonlocal models. Comput. Math. Appl. 116: 229-244 (2022) - [j16]Huaiqian You, Yue Yu
Nonlocal kernel network (NKN): A stable and resolution-independent deep neural network. J. Comput. Phys. 469: 111536 (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
A Fast Solver for the Fractional Helmholtz Equation. SIAM J. Sci. Comput. 43(2): A1362-A1388 (2021) - 2020
- [j13]Marta D'Elia, Qiang Du
Numerical methods for nonlocal and fractional models. Acta Numer. 29: 1-124 (2020) - [j12]Guofei Pang
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
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) - 2019
- [j10]Marta D'Elia, Christian Glusa
A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian. SIAM J. Control. Optim. 57(4): 2775-2798 (2019) - 2018
- [j9]Marta D'Elia, H. Carter Edwards, Jonathan J. Hu, Eric T. Phipps
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
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
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
Optimization-based mesh correction with volume and convexity constraints. J. Comput. Phys. 313: 455-477 (2016) - 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)
Conference and Workshop Papers
- 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 - 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 - 2010
- [c1]Marta D'Elia, Alessandro Veneziani:
Methods for assimilating blood velocity measures in hemodynamics simulations: Preliminary results. ICCS 2010: 1231-1239
Informal and Other Publications
- 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
- [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
- [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
Machine Learning in Heterogeneous Porous Materials. CoRR abs/2202.04137 (2022) - [i22]Christian Glusa, Marta D'Elia, Giacomo Capodaglio
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
- [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
- [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) - 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) - 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)
Coauthor Index
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