Stabilized Lagrange interpolation collocation method: A meshfree method incorporating the advantages of finite element method
L Wang, M Hu, Z Zhong, F Yang - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Since most approximation functions in meshfree methods are rational functions which do not
possess the Kronecker delta property, how to achieve exact integration and accurately …
possess the Kronecker delta property, how to achieve exact integration and accurately …
A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation
Meshfree direct collocation method (DCM) based on strong form suffers low accuracy and
instability compared with Galerkin-based meshfree methods. Meshfree weighted least …
instability compared with Galerkin-based meshfree methods. Meshfree weighted least …
An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects
L Deng, D Wang - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
A theoretical framework for the accuracy analysis of meshfree collocation methods is
presented with a particular focus on the effects of boundary conditions. In the proposed …
presented with a particular focus on the effects of boundary conditions. In the proposed …
Superconvergent gradient smoothing meshfree collocation method
A superconvergent meshfree collocation method with smoothed nodal gradients is
presented. In this method, the first order smoothed gradients of meshfree shape function are …
presented. In this method, the first order smoothed gradients of meshfree shape function are …
Arbitrary order recursive formulation of meshfree gradients with application to superconvergent collocation analysis of Kirchhoff plates
A general arbitrary order recursive gradient formulation is presented for meshfree
approximation. According to this method, an n th order recursive meshfree gradient is …
approximation. According to this method, an n th order recursive meshfree gradient is …
基于拉格朗日插值的无网格直接配点法和稳定配点法
胡明皓， 王莉华 - 力学学报, 2023 - lxxb.cstam.org.cn
由于无网格法中大多数近似函数均为有理式, 不具有Kronecker delta 性质, 因此难以精确地施加
本质边界条件. 边界误差较大容易导致整个求解域求解结果精度低, 甚至引起数值不稳定现象 …
本质边界条件. 边界误差较大容易导致整个求解域求解结果精度低, 甚至引起数值不稳定现象 …
Superconvergent isogeometric collocation method with Greville points
D Wang, D Qi, X Li - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
A superconvergent isogeometric collocation method that employs the conventional Greville
abscissae as collocation points is proposed. Firstly, a basis transformation is presented for …
abscissae as collocation points is proposed. Firstly, a basis transformation is presented for …
[图书][B] Meshfree and particle methods: fundamentals and applications
Meshfree and Particle Methods Provides thorough coverage of essential concepts and state-
of-the-art developments in the field Meshfree and Particle Methods is the first book of its kind …
of-the-art developments in the field Meshfree and Particle Methods is the first book of its kind …
A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis
L Deng, D Wang, D Qi - Computational Mechanics, 2021 - Springer
A least squares recursive gradient meshfree collocation method is proposed for the
superconvergent computation of structural vibration frequencies. The proposed approach …
superconvergent computation of structural vibration frequencies. The proposed approach …
[PDF][PDF] Review of Collocation Methods and Applications in Solving Science and Engineering Problems.
W Jiang, X Gao - CMES-Computer Modeling in Engineering & …, 2024 - cdn.techscience.cn
The collocation method is a widely used numerical method for science and engineering
problems governed by partial differential equations. This paper provides a comprehensive …
problems governed by partial differential equations. This paper provides a comprehensive …