18 citations · 18 across the 1 of their papers we have counts for
3 papers
math.NA2021
Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal operator method
Huilong Ren, Xiaoying Zhuang, Erkan Oterkus +2
The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual me…
physics.comp-ph2018
A nonlocal operator method for solving partial differential equations
Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
We propose a nonlocal operator method for solving partial differential equations (PDEs). The nonlocal operator is derived from the Taylor series expansion of the unknown field, and…
physics.comp-ph2017★ 18 cited
Dual-support smoothed particle hydrodynamics for elastic mechanics
Zili Dai, Huilong Ren, Xiaoying Zhuang +1
In the standard SPH method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with th…