According to our database1, Marta D'Elia authored at least 27 papers between 2010 and 2021.
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A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems.
Analysis of Anisotropic Nonlocal Diffusion Models: Well-posedness of Fractional Problems for Anomalous Transport.
A machine-learning framework for peridynamic material models with physical constraints.
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
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws.
An optimization-based approach to parameter learning for fractional type nonlocal models.
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions.
A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls.
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
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.
Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method.
Ensemble Grouping Strategies for Embedded Stochastic Collocation Methods Applied to Anisotropic Diffusion Problems.
SIAM/ASA J. Uncertain. Quantification, 2018
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
J. Comput. Phys., 2016
A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions.
Comput. Math. Appl., 2016
SIAM J. Control. Optim., 2014
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
A Variational Data Assimilation Procedure for the Incompressible Navier-Stokes Equations in Hemodynamics.
J. Sci. Comput., 2012
Methods for assimilating blood velocity measures in hemodynamics simulations: Preliminary results.
Proceedings of the International Conference on Computational Science, 2010