The dimension splitting reproducing kernel particle method for three-dimensional potential problems

DOI10.1002/NME.6203WikidataQ127353450 ScholiaQ127353450MaRDI QIDQ6495603

Qiping Wu, Yu-Min Cheng, P. P. Peng

Publication date: 30 April 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

finite difference methodreproducing kernel particle methodpotential problemdimension splitting methoddimension splitting reproducing kernel particle method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Basic methods in thermodynamics and heat transfer (80Mxx)

Related Items (2)

Numerical simulation of bending stiffness analysis for spring linkage applied to in-pipe robot ⋮ Numerical solution of sine-Gordon equation with the local kriging meshless method

Cites Work

• Unnamed Item
• Unnamed Item
• The improved element-free Galerkin method for three-dimensional wave equation
• On exact dimensional splitting for a multidimensional scalar quasilinear hyperbolic conservation law
• A meshless analysis of three-dimensional transient heat conduction problems
• The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems
• Analyzing the interaction between collinear interfacial cracks by an efficient boundary element-free method
• Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition
• Error estimates for the finite point method
• Analyzing three-dimensional potential problems with the improved element-free Galerkin method
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Large deformation analysis of rubber based on a reproducing kernel particle method
• Reproducing kernel particle methods for large deformation analysis of nonlinear structures
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• Dimension-splitting for simplifying diffusion in lattice-gas models
• The dimension split element-free Galerkin method for three-dimensional potential problems
• Crane hook stress analysis upon boundary interpolated reproducing kernel particle method
• A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems
• The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations
• The complex variable reproducing kernel particle method for the analysis of Kirchhoff plates
• The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations
• A dimensional splitting method for the linearly elastic shell
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• The natural element method in solid mechanics
• A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine
• A reproducing kernel method with nodal interpolation property
• Reproducing kernel particle methods

This page was built for publication: The dimension splitting reproducing kernel particle method for three-dimensional potential problems