A matrix triangularization algorithm for the polynomial point interpolation method.

DOI10.1016/S0045-7825(03)00266-4zbMath1074.74059MaRDI QIDQ1418240

Yuantong T. Gu, Gui-Rong Liu

Publication date: 19 January 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

convergenceshape functionsKronecker delta function

Mathematics Subject Classification ID

Related Items (21)

MESHFREE METHODS AND THEIR COMPARISONS ⋮ A LINEARLY CONFORMING POINT INTERPOLATION METHOD (LC-PIM) FOR 2D SOLID MECHANICS PROBLEMS ⋮ MESHFREE CELL-BASED SMOOTHED POINT INTERPOLATION METHOD USING ISOPARAMETRIC PIM SHAPE FUNCTIONS AND CONDENSED RPIM SHAPE FUNCTIONS ⋮ Optimization of a radial point interpolation meshless strategy for strain gradient nanoplates ⋮ A Novel Pick-Out Theory and Technique for Constructing the Smoothed Derivatives of Functions for Numerical Methods ⋮ Dispersion analysis for acoustic problems using the point interpolation method ⋮ Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM) ⋮ Radial Point Interpolation Method for Isotropic Nanoplates in Bending Using Strain Gradient Theory ⋮ An Overview on Meshfree Methods: For Computational Solid Mechanics ⋮ Modified moving least squares method for two-dimensional linear and nonlinear systems of integral equations ⋮ Application of meshfree methods for solving the inverse one-dimensional Stefan problem ⋮ A diagonal offset algorithm for the polynomial point interpolation method ⋮ On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method ⋮ Boundary meshfree methods based on the boundary point interpolation methods ⋮ An adaptive orthogonal improved interpolating moving least-square method and a new boundary element-free method ⋮ Regularized moving least-square method and regularized improved interpolating moving least-square method with nonsingular moment matrices ⋮ The solution of unconfined seepage problem using natural element method (NEM) coupled with genetic algorithm (GA) ⋮ A truly meshfree method for solving acoustic problems using local weak form and radial basis functions ⋮ The hygro-thermo-electro-mechanical coupling edge-based smoothed point interpolation method for the response of functionally graded piezoelectric structure under hygrothermal environment ⋮ Extension of the Meshless Approach for the Cell Method to Three-Dimensional Numerical Integration of Discrete Conservation Laws ⋮ A weak-form meshfree coupled with infinite element method for predicting acoustic radiation

Uses Software

• Mfree2D

Cites Work

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