12 citations · 34 across the 13 of their papers we have counts for
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OBMeshfree: An optimization-based meshfree solver for nonlocal diffusion and peridynamics models
Yiming Fan, Huaiqian You, Yue Yu
We present OBMeshfree, an Optimization-Based Meshfree solver for compactly supported nonlocal integro-differential equations (IDEs) that can describe material heterogeneity and bri…
mVEM: A MATLAB Software Package for the Virtual Element Methods
Yue Yu
This paper summarizes the development of mVEM, a MATLAB software package containing efficient and easy-following codes for various virtual element methods (VEMs) published in the l…
A novel locking-free virtual element method for linear elasticity problems
Jianguo Huang, Sen Lin, Yue Yu
This paper devises a novel lowest-order conforming virtual element method (VEM) for planar linear elasticity with the pure displacement/traction boundary condition. The main trick…
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…
An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture
Yue Yu, Huaiqian You, Nathaniel Trask
Meshfree discretizations of state-based peridynamic models are attractive due to their ability to naturally describe fracture of general materials. However, two factors conspire to…
An Asymptotically Compatible Formulation for Local-to-Nonlocal Coupling Problems without Overlapping Regions
Huaiqian You, Yue Yu, David Kamensky
In this paper we design and analyze an explicit partitioned procedure for a 2D dynamic local-to-nonlocal (LtN) coupling problem, based on a new nonlocal Robin-type transmission con…