
Fractional Modeling in Action: A Survey of Nonlocal Models for Subsurface Transport, Turbulent Flows, and Anomalous Materials
Modeling of phenomena such as anomalous transport via fractionalorder d...
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An optimizationbased strategy for peridynamicFEM coupling and for the prescription of nonlocal boundary conditions
We develop and analyze an optimizationbased method for the coupling of ...
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On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models
We introduce a technique to automatically convert local boundary conditi...
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A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems
We propose a domain decomposition method for the efficient simulation of...
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A fractional model for anomalous diffusion with increased variability. Analysis, algorithms and applications to interface problems
Fractional equations have become the model of choice in several applicat...
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Efficient quadrature rules for finite element discretizations of nonlocal equations
In this paper we design efficient quadrature rules for finite element di...
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Analysis of Anisotropic Nonlocal Diffusion Models: Wellposedness of Fractional Problems for Anomalous Transport
We analyze the wellposedness of an anisotropic, nonlocal diffusion equa...
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A machinelearning framework for peridynamic material models with physical constraints
As a nonlocal extension of continuum mechanics, peridynamics has been wi...
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Datadriven learning of nonlocal models: from highfidelity simulations to constitutive laws
We show that machine learning can improve the accuracy of simulations of...
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An optimizationbased approach to parameter learning for fractional type nonlocal models
Nonlocal operators of fractional type are a popular modeling choice for ...
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A general framework for substructuringbased domain decomposition methods for models having nonlocal interactions
A rigorous mathematical framework is provided for a substructuringbased...
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A cookbook for finite element methods for nonlocal problems, including quadrature rules and approximate Euclidean balls
The implementation of finite element methods (FEMs) for nonlocal models ...
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Datadriven learning of robust nonlocal physics from highfidelity synthetic data
A key challenge to nonlocal models is the analytical complexity of deriv...
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nPINNs: nonlocal PhysicsInformed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications
Physicsinformed neural networks (PINNs) are effective in solving invers...
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Numerical methods for nonlocal and fractional models
Partial differential equations (PDEs) are used, with huge success, to mo...
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An energybased coupling approach to nonlocal interface problems
Nonlocal models provide accurate representations of physical phenomena r...
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A Thermodynamically Consistent Fractional ViscoElastoPlastic Model with MemoryDependent Damage for Anomalous Materials
We develop a thermodynamically consistent, fractional viscoelastoplast...
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Formulation, analysis and computation of an optimizationbased localtononlocal coupling method
We present an optimizationbased coupling method for local and nonlocal ...
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Marta D'Elia
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