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20122024
most citedDual-horizon peridynamics: A stable solution to varying horizons

655 citations · 6.3k across the 54 of their papers we have counts for

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5 papers · 1 filter

math.NA2023309 cited

Phase-field modeling of fluid-driven dynamic cracking in porous media

Shuwei Zhou, Xiaoying Zhuang, Timon Rabczuk

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium whi…

math.NA20237 cited

Isogeometric analysis of insoluble surfactant spreading on a thin film

David Medina, Navid Valizadeh, Esteban Samaniego +2

In this paper we tackle the problem of surfactant spreading on a thin liquid film in the framework of isogeometric analysis. We consider a mathematical model that describes this ph…

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.NA2021

A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate

Hongwei Guo, Xiaoying Zhuang, Timon Rabczuk

In this paper, a deep collocation method (DCM) for thin plate bending problems is proposed. This method takes advantage of computational graphs and backpropagation algorithms invol…

math.NA2020

Integrated intelligent Jaya Runge-Kutta method for solving Falkner-Skan equations for Various Wedge Angles

Hongwei Guo, Xiaoying Zhuang, Xiaoyu Meng +1

In this work, the hybrid intelligent computing method, which combines efficient Jaya algorithm with classical Runge-Kutta method is applied to solve the Falkner-Skan equations with…