12 citations · 34 across the 12 of their papers we have counts for
6 papers · 1 filter
Nonlocal Trace Spaces and Extension Results for Nonlocal Calculus
Qiang Du, Xiaochuan Tian, Cory Wright +1
For a given Lipschitz domain , it is a classical result that the trace space of is , namely any function has a well-defined $W^…
Convergence Analysis and Numerical Studies for Linearly Elastic Peridynamics with Dirichlet-Type Boundary Conditions
Mikil Foss, Petronela Radu, Yue Yu
The nonlocal models of peridynamics have successfully predicted fractures and deformations for a variety of materials. In contrast to local mechanics, peridynamic boundary conditio…
A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics
Marta D'Elia, Xingjie Li, Pablo Seleson +2
Local-to-Nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. T…
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications
M. D'Elia, C. Flores, X. Li +2
Nonlocal operators that have appeared in a variety of physical models satisfy identities and enjoy a range of properties similar to their classical counterparts. In this paper we o…
An Asymptotically Compatible Approach For Neumann-Type Boundary Condition On Nonlocal Problems
Huaiqian You, Xin Yang Lu, Nathaniel Trask +1
In this paper we consider 2D nonlocal diffusion models with a finite nonlocal horizon parameter characterizing the range of nonlocal interactions, and consider the treatment of…
A physically-consistent, flexible and efficient strategy to convert local boundary conditions into nonlocal volume constraints
Marta D'Elia, Xiaochuan Tian, Yue Yu
Nonlocal models provide exceptional simulation fidelity for a broad spectrum of scientific and engineering applications. However, wider deployment of nonlocal models is hindered by…