Overview and applications of the reproducing Kernel Particle methods

1996/03/01 by W. K. Liu, Y. Chen, S. Jun +9 · 3 citations
Engineering · Mathematics · #Applied mathematics #Computer science #Discretization #Engineering #Finite element method #Fluid Dynamics Simulations and Interactions #Fluid Dynamics and Vibration Analysis #Geometry #Hyperelastic material #Kernel (algebra) #Mathematical analysis #Mathematics #Mechanics #Meshfree methods #Numerical methods in engineering #Physics #Scaling #Smoothed-particle hydrodynamics #Structural engineering #Wavelet

paper · doi:10.1007/bf02736130

crossref issued 1996/03/01 · crossref published 1996/03/01 · crossref published-print 1996/03/01 · openalex publication_date 1996/03/01 · crossref created 2007/10/28 · crossref deposited 2019/05/18 · openalex created_date 2025/10/10 · crossref indexed 2026/07/07 · openalex updated_date 2026/07/23

Citations

• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Surfaces generated by moving least squares methods
• A finite element formulation for nonlinear incompressible elastic and inelastic analysis
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Reproducing kernel particle methods
• The finite element method with Lagrangian multipliers
• Shock simulation by the particle method SPH
• A numerical approach to the testing of the fission hypothesis
• Element‐free Galerkin methods

Cited by

• Meshfree Methods: Progress Made after 20 Years
• AN OVERVIEW ON SMOOTHED PARTICLE HYDRODYNAMICS
• Meshfree methods [wikipedia]