A PU-based meshless Shepard interpolation method satisfying delta property

DOI10.1016/j.enganabound.2009.07.007zbMath1244.74211OpenAlexW1989985022MaRDI QIDQ441501

Yongchang Cai, Hehua Zhu

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.07.007

zbMATH Keywords

least squaresmeshless methodpartition of unitydelta propertyShepard function

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items

Meshless method based on Shepard function and partition of unity for two-dimensional crack problems, A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials, Independent cover meshless method for the simulation of multiple crack growth with arbitrary incremental steps and directions, A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method, A new partition of unity finite element free from the linear dependence problem and possessing the delta property, Shape-free finite element method: another way between mesh and mesh-free methods, An improved meshless Shepard and least squares method possessing the delta property and requiring no singular weight function

Uses Software

• OctPUM

Cites Work

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• Analyzing 2D fracture problems with the improved element-free Galerkin method
• The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation
• Reproducing kernel element method. I: Theoretical formulation
• A ``FE-meshfree QUAD4 element based on partition of unity
• An adaptive \(hp\)-version of the multilevel particle-partition of unity method
• Meshless methods: An overview and recent developments
• The partition of unity finite element method: basic theory and applications
• Consistent pseudo-derivatives in meshless methods
• A new cloud-based \(hp\) finite element method
• Moving particle finite element method with superconvergence: nodal integration formulation and applications
• A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
• A Local Meshless Shepard and Least Square Interpolation Method Based on Local Weak Form
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Surfaces Generated by Moving Least Squares Methods
• The natural element method in solid mechanics
• Element‐free Galerkin methods
• Moving particle finite element method with global smoothness
• A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
• Moving particle finite element method
• Assessment and applications of point interpolation methods for computational mechanics
• A Particle-Partition of Unity Method--Part III: A Multilevel Solver
• Reproducing kernel particle methods