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Po-Wei Li, Shenghan Hu and Mengyao Zhang
This study applies the space?time generalized finite difference scheme to solve nonlinear dispersive shallow water waves described by the modified Camassa?Holm equation, the modified Degasperis?Procesi equation, the Fornberg?Whitham equation, and its mod...
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Wanshui Han, Xin Xu, Jiajia Wang, Lili Xiao, Kai Zhou and Xuelian Guo
The superstructure of a coastal bridge is prone to overturn or unseating under a catastrophic tsunami, which seriously affects the post-disaster emergency rescue. In this paper, we establish a safety assessment framework for the superstructure of a bridg...
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Vaclav Skala and Eliska Mourycova
Interpolating and approximating scattered scalar and vector data is fundamental in resolving numerous engineering challenges. These methodologies predominantly rely on establishing a triangulated structure within the data domain, typically constrained to...
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Jing Ling, Hongying Wang and Hongzhong Mou
This study focuses on the axial compression on the part boundary of the circular shaft (Brazilian test). The problem is solved by the virtual boundary meshless Galerkin method, whose discrete equation is nonsingular and symmetrical, and has the advantage...
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Riya Aggarwal, Bishnu P. Lamichhane, Michael H. Meylan and Chris M. Wensrich
The main objective of the current work is to determine meshless methods using the radial basis function (rbf) approach to estimate the elastic strain field from energy-resolved neutron imaging. To this end, we first discretize the longitudinal ray transf...
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Chih-Wen Chang, Chein-Hung Liu and Cheng-Chi Wang
Meshfree algorithms offer a convenient way of solving nonlinear steady-state problems in arbitrary plane areas surrounded by complicated boundary shapes. The simplest of these is the polynomial expansion approach. However, it is rarely utilized as a prim...
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Matthew Marko
The author demonstrates a stable Lagrangian solid modeling method, tracking the interactions of solid mass particles rather than using a meshed grid. This numerical method avoids the problem of tensile instability often seen with smooth particle applied ...
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