An Improved Material Point Method with Aggregated and Smoothed Bernstein Functions

An Improved Material Point Method with Aggregated and Smoothed Bernstein Functions

Nodal shape functions and their gradients are vital in transferring physical information within the material point method (MPM). Their continuity is related to numerical stability and accuracy, and their support domain size affects computational efficiency. In this paper, a scheme of aggregated and...

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Bibliographic Details
Main Authors: Zheng Zhu, Tengfei Bao, Xi Zhu, Jian Gong, Yuhan Hu, Jingying Zhang
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Mathematics
Subjects:
material point method
shape functions
Bernstein polynomials
smoothing
aggregation
spatial discretization
Online Access:https://www.mdpi.com/2227-7390/11/4/907

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https://www.mdpi.com/2227-7390/11/4/907

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