Marta D'Elia
Cited by
Cited by
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
M D’Elia, M Gunzburger
Computers & Mathematics with Applications 66 (7), 1245-1260, 2013
A variational data assimilation procedure for the incompressible Navier-Stokes equations in hemodynamics
M D’Elia, M Perego, A Veneziani
Journal of Scientific Computing 52 (2), 340-359, 2012
Fractional diffusion on bounded domains
O Defterli, M D’Elia, Q Du, M Gunzburger, R Lehoucq, MM Meerschaert
Fractional Calculus and Applied Analysis 18 (2), 342-360, 2015
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes
M D’Elia, Q Du, M Gunzburger, R Lehoucq
Computational Methods in Applied Mathematics 17 (4), 707-722, 2017
Applications of variational data assimilation in computational hemodynamics
M D’Elia, L Mirabella, T Passerini, M Perego, M Piccinelli, C Vergara, ...
Modeling of physiological flows, 363-394, 2012
Optimal distributed control of nonlocal steady diffusion problems
M D'Elia, M Gunzburger
SIAM Journal on Control and Optimization 52 (1), 243-273, 2014
A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
M D’Elia, M Perego, P Bochev, D Littlewood
Computers & Mathematics with Applications 71 (11), 2218-2230, 2016
Identification of the diffusion parameter in nonlocal steady diffusion problems
M D’Elia, M Gunzburger
Applied Mathematics & Optimization 73 (2), 227-249, 2016
Numerical methods for nonlocal and fractional models
M D’Elia, Q Du, C Glusa, M Gunzburger, X Tian, Z Zhou
Acta Numerica 29, 1-124, 2020
Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem
M D’Elia, A Veneziani
ESAIM: Mathematical Modelling and Numerical Analysis 47 (4), 1037-1057, 2013
Data assimilation in cardiovascular fluid–structure interaction problems: an introduction
L Bertagna, M D’Elia, M Perego, A Veneziani
Fluid-structure interaction and biomedical applications, 395-481, 2014
The exit-time problem for a Markov jump process
N Burch, M D’Elia, RB Lehoucq
The European Physical Journal Special Topics 223 (14), 3257-3271, 2014
nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications
G Pang, M D'Elia, M Parks, GE Karniadakis
Journal of Computational Physics 422, 109760, 2020
A priori error estimates for the optimal control of the integral fractional Laplacian
M D'elia, C Glusa, E Otárola
SIAM Journal on Control and Optimization 57 (4), 2775-2798, 2019
VPS: Voronoi piecewise surrogate models for high-dimensional data fitting
A Rushdi, LP Swiler, ET Phipps, M D'Elia, MS Ebeida
International Journal for Uncertainty Quantification 7 (1), 2017
Embedded ensemble propagation for improving performance, portability, and scalability of uncertainty quantification on emerging computational architectures
E Phipps, M D'Elia, HC Edwards, M Hoemmen, J Hu, S Rajamanickam
SIAM Journal on Scientific Computing 39 (2), C162-C193, 2017
Emory University
M D’Elia
Data-driven learning of nonlocal physics from high-fidelity synthetic data
H You, Y Yu, N Trask, M Gulian, M D’Elia
Computer Methods in Applied Mechanics and Engineering 374, 113553, 2021
Bilevel parameter learning for nonlocal image denoising models
M D’Elia, JC De Los Reyes, A Miniguano-Trujillo
Journal of Mathematical Imaging and Vision 63 (6), 753-775, 2021
A unified theory of fractional, nonlocal, and weighted nonlocal vector calculus
M D'Elia, M Gulian, H Olson, GE Karniadakis
arXiv preprint arXiv:2005.07686, 2020
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