15 citations · 63 across the 20 of their papers we have counts for
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An asymptotically compatible coupling formulation for nonlocal interface problems with jumps
Christian Glusa, Marta D'Elia, Giacomo Capodaglio +2
We introduce a mathematically rigorous formulation for a nonlocal interface problem with jumps and propose an asymptotically compatible finite element discretization for the weak f…
Efficient optimization-based quadrature for variational discretization of nonlocal problems
Marco Pasetto, Zhaoxiang Shen, Marta D'Elia +3
Casting nonlocal problems in variational form and discretizing them with the finite element (FE) method facilitates the use of nonlocal vector calculus to prove well-posedeness, co…
Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves
Xiao Xu, Marta D'Elia, Christian Glusa +1
Anomalous behavior is ubiquitous in subsurface solute transport due to the presence of high degrees of heterogeneity at different scales in the media. Although fractional models ha…
An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions
Marta D'Elia, David Littlewood, Jeremy Trageser +2
We develop and analyze an optimization-based method for the coupling of a static peri-dynamic (PD) model and a static classical elasticity model. The approach formulates the coupli…
On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models
Marta D'Elia, Yue Yu
We introduce a technique to automatically convert local boundary conditions into nonlocal volume constraints for nonlocal Poisson's and peridynamic models. The proposed strategy is…
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems
Xiao Xu, Christian Glusa, Marta D'Elia +1
We propose a domain decomposition method for the efficient simulation of nonlocal problems. Our approach is based on a multi-domain formulation of a nonlocal diffusion problem wher…