33 citations · 33 across the 2 of their papers we have counts for
4 papers
A unified, stable and accurate meshfree framework for peridynamic correspondence modeling. Part I: core methods
Masoud Behzadinasab, Nathaniel Trask, Yuri Bazilevs
The overarching goal of this work is to develop an accurate, robust, and stable methodology for finite deformation modeling using strong-form peridynamics (PD) and the corresponden…
An Asymptotically Compatible Approach For Neumann-Type Boundary Condition On Nonlocal Problems
Huaiqian You, Xin Yang Lu, Nathaniel Trask +1
In this paper we consider 2D nonlocal diffusion models with a finite nonlocal horizon parameter characterizing the range of nonlocal interactions, and consider the treatment of…
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion
Yu Leng, Xiaochuan Tian, Nathaniel Trask +1
Reproducing kernel (RK) approximations are meshfree methods that construct shape functions from sets of scattered data. We present an asymptotically compatible (AC) RK collocation…
A spatially adaptive high-order meshless method for fluid-structure interactions
Wei Hu, Nathaniel Trask, Xiaozhe Hu +1
We present a scheme implementing an a posteriori refinement strategy in the context of a high-order meshless method for problems involving point singularities and fluid-solid inter…