Multiphysics modeling and numerical simulation in computer-aided manufacturing processes

T Trzepieciński, F dell'Isola, HG Lemu - Metals, 2021 - mdpi.com
The concept of Industry 4.0 is defined as a common term for technology and the concept of
new digital tools to optimize the manufacturing process. Within this framework of modular …

Error analysis of the meshless finite point method

X Li, H Dong - Applied Mathematics and Computation, 2020 - Elsevier
The finite point method (FPM) is a notable truly meshless method based on the moving least
squares (MLS) approximation and the point collocation technique. In this paper, the error of …

A finite point method for the fractional cable equation using meshless smoothed gradients

X Li, S Li - Engineering Analysis with Boundary Elements, 2022 - Elsevier
This paper presents a meshless finite point method (FPM) for the numerical analysis of the
fractional cable equation. A second-order time discrete scheme is proposed to approximate …

Polynomial preserving recovery for the finite volume element methods under simplex meshes

Y Li, P Yang, Z Zhang - Mathematics of Computation, 2025 - ams.org
The recovered gradient, using the polynomial preserving recovery (PPR), is constructed for
the finite volume element method (FVEM) under simplex meshes. Regarding the main …

A superconvergent finite node method for semilinear elliptic problems

H Hou, X Li - Engineering Analysis with Boundary Elements, 2023 - Elsevier
This paper proposes and analyzes a superconvergent finite node method (SFPM) for
meshless solution of semilinear boundary value problems with variable coefficients …

Assessment of implicit adaptive mesh‐free CFD modelling

T Zhang, GN Barakos - International Journal for Numerical …, 2024 - Wiley Online Library
This work presents details and assesses implicit and adaptive mesh‐free CFD modelling
approaches, to alleviate laborious mesh generation in modern CFD processes. A weighted …

分数阶Cable 方程的有限点法分析*.

陈虹伶, 李小林 - Applied Mathematics & Mechanics (1000 …, 2022 - search.ebscohost.com
分数阶Cable 方程的有限点法分析 Page 1 应用数学和力学编委会,ISSN 1000-0887 http://www.applmathmech.cn
分数阶Cable 方程的有限点法分析* 陈虹伶, 李小林 (重庆师范大学数学科学学院,重庆401331) …

A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation

X Li - Numerical Methods for Partial Differential Equations, 2023 - Wiley Online Library
A meshless finite point method (FPM) is developed in this paper for the numerical solution of
the nonlinear improved Boussinesq equation. A time discrete technique is used to …

Analysis of the Finite Point Method for Fractional Cable Equations

C Hongling, LI Xiaolin - 应用数学和力学, 2022 - applmathmech.cn
With the central difference scheme to discretize the Riemann-Liouville time fractional
derivatives and by means of the finite point method to establish discrete algebraic equation …