Marta D'Elia
Orcid: 0000-0002-6536-6295
According to our database1,
Marta D'Elia
authored at least 45 papers
between 2010 and 2024.
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Bibliography
2024
Embedded Nonlocal Operator Regression (ENOR): Quantifying model error in learning nonlocal operators.
CoRR, 2024
ML-based identification of the interface regions for coupling local and nonlocal models.
CoRR, 2024
2023
A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type.
Comput. Math. Appl., December, 2023
An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps.
SIAM J. Sci. Comput., June, 2023
Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures.
CoRR, 2023
2022
Nonlocal kernel network (NKN): A stable and resolution-independent deep neural network.
J. Comput. Phys., 2022
Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification.
CoRR, 2022
CoRR, 2022
Efficient optimization-based quadrature for variational discretization of nonlocal problems.
CoRR, 2022
Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves.
CoRR, 2022
An optimization-based approach to parameter learning for fractional type nonlocal models.
Comput. Math. Appl., 2022
2021
J. Math. Imaging Vis., 2021
An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions.
CoRR, 2021
CoRR, 2021
On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models.
CoRR, 2021
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems.
CoRR, 2021
A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems.
CoRR, 2021
CoRR, 2021
Analysis of Anisotropic Nonlocal Diffusion Models: Well-posedness of Fractional Problems for Anomalous Transport.
CoRR, 2021
A machine-learning framework for peridynamic material models with physical constraints.
CoRR, 2021
Data-driven Learning of Nonlocal Models: from high-fidelity simulations to constitutive laws.
Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to, 2021
2020
A Physically Consistent, Flexible, and Efficient Strategy to Convert Local Boundary Conditions into Nonlocal Volume Constraints.
SIAM J. Sci. Comput., 2020
nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications.
J. Comput. Phys., 2020
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions.
CoRR, 2020
A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls.
CoRR, 2020
CoRR, 2020
Nonlocal Physics-Informed Neural Networks - A Unified Theoretical and Computational Framework for Nonlocal Models.
Proceedings of the AAAI 2020 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 23rd - to, 2020
2019
A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian.
SIAM J. Control. Optim., 2019
A Thermodynamically Consistent Fractional Visco-Elasto-Plastic Model with Memory-Dependent Damage for Anomalous Materials.
CoRR, 2019
Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method.
CoRR, 2019
2018
Ensemble Grouping Strategies for Embedded Stochastic Collocation Methods Applied to Anisotropic Diffusion Problems.
SIAM/ASA J. Uncertain. Quantification, 2018
2017
Embedded Ensemble Propagation for Improving Performance, Portability, and Scalability of Uncertainty Quantification on Emerging Computational Architectures.
SIAM J. Sci. Comput., 2017
Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes.
Comput. Methods Appl. Math., 2017
2016
J. Comput. Phys., 2016
A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions.
Comput. Math. Appl., 2016
2014
SIAM J. Control. Optim., 2014
2013
SIAM/ASA J. Uncertain. Quantification, 2013
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator.
Comput. Math. Appl., 2013
2012
A Variational Data Assimilation Procedure for the Incompressible Navier-Stokes Equations in Hemodynamics.
J. Sci. Comput., 2012
2010
Methods for assimilating blood velocity measures in hemodynamics simulations: Preliminary results.
Proceedings of the International Conference on Computational Science, 2010