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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…
math.NA2019
Higher order nonlocal operator method
Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
We extend the nonlocal operator method to higher order scheme by using a higher order Taylor series expansion of the unknown field. Such a higher order scheme improves the original…