Marta D’Elia

The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

Marta D’Elia, Max Gunzburger · Computers & Mathematics with Applications · 2013 · 198 citations · Full text

Bounded Domains, Fractional-order System, Nonlocal Diffusion Operator +6

Numerical methods for nonlocal and fractional models

Marta D’Elia, Qiang Du, Christian Glusa et al. · Acta Numerica · 2020 · 189 citations · Full text

nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications

Guofei Pang, Marta D’Elia, Michael L. Parks et al. · Journal of Computational Physics · 2020 · 132 citations · Full text

Non-local Interaction, Variational Analysis, Machine Learning +2

A Variational Data Assimilation Procedure for the Incompressible Navier-Stokes Equations in Hemodynamics

Marta D’Elia, Mauro Perego, Alessandro Veneziani · Journal of Scientific Computing · 2011 · 90 citations

Numerical Analysis, Compressible Flow, Engineering +10

Fractional Diffusion on Bounded Domains

Özlem Defterli, Marta D’Elia, Qiang Du et al. · Fractional Calculus and Applied Analysis · 2015 · 90 citations · Full text

Fractional Diffusion, Anomalous Diffusion, Fractional Dynamic +1