73 citations · 253 across the 29 of their papers we have counts for
8 papers · 1 filter
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems
Yue Yu
We develop a lowest-order nonconforming virtual element method for planar linear elasticity, which can be viewed as an extension of the idea in Falk (1991) to the virtual element m…
An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems
Yiming Fan, Xiaochuan Tian, Xiu Yang +3
In this paper we present an asymptotically compatible meshfree method for solving nonlocal equations with random coefficients, describing diffusion in heterogeneous media. In parti…
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^…
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…
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…
Size-Sieving Separation of Hard-Sphere Mixtures through Cylindrical Pores
Yue Yu, Kai Zhang
The collision dynamics of hard spheres and cylindrical pores is solved exactly, which is the minimal model for a regularly porous membrane. Nonequilibrium event-driven molecular dy…
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…
A sparse grid discrete ordinate discontinuous Galerkin method for the radiative transfer equation
Jianguo Huang, Yue Yu
The radiative transfer equation is a fundamental equation in transport theory and applications, which is a 5-dimensional PDE in the stationary one-velocity case, leading to great d…