Marta D'Elia

According to our database1, Marta D'Elia authored at least 27 papers between 2010 and 2021.

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Bibliography

2021
A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems.
CoRR, 2021

Efficient quadrature rules for finite element discretizations of nonlocal equations.
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

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

Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws.
CoRR, 2020

An optimization-based approach to parameter learning for fractional type nonlocal models.
CoRR, 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

Data-driven learning of robust nonlocal physics from high-fidelity synthetic data.
CoRR, 2020

An energy-based coupling approach to nonlocal interface problems.
CoRR, 2020

Numerical methods for nonlocal and fractional models.
Acta Numer., 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
Optimization-based mesh correction with volume and convexity constraints.
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
Optimal Distributed Control of Nonlocal Steady Diffusion Problems.
SIAM J. Control. Optim., 2014

2013
Coarse-Grid Sampling Interpolatory Methods for Approximating Gaussian Random Fields.
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


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