A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials
DOI10.1016/j.enganabound.2016.08.015zbMath1403.74257OpenAlexW2518807239MaRDI QIDQ1655940
Shao-Jun Li, Peng-Zhi Pan, Fei Yan, Xia-Ting Feng, Jia-He Lv
Publication date: 10 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.08.015
Chebyshev polynomialsdual reciprocity methodmeshless methoddual reciprocity hybrid boundary node methodShepard and Taylor interpolation method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
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- A PU-based meshless Shepard interpolation method satisfying delta property
- Dual reciprocity hybrid boundary node method for 2-D elasticity with body force
- A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary
- Meshless analysis for three-dimensional elasticity with singular hybrid boundary node method
- A dual reciprocity hybrid radial boundary node method based on radial point interpolation method
- The dual reciprocity boundary element formulation for nonlinear diffusion problems
- Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM
- A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- The partition of unity finite element method: basic theory and applications
- The meshless regular hybrid boundary node method for 2D linear elasticity.
- The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
- Meshless methods based on collocation with radial basis functions
- A new model for the analysis of reinforced concrete members with a coupled HdBNM/FEM
- Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
- Thermal analysis of 3D composites by a new fast multipole hybrid boundary node method
- A new radial basis function for Helmholtz problems
- A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method
- A meshless singular boundary method for three‐dimensional elasticity problems
- The Particular Solutions of Chebyshev Polynomials for Reissner Plates under Arbitrary Loadings
- A Local Meshless Shepard and Least Square Interpolation Method Based on Local Weak Form
- A moving Kriging interpolation-based meshless method for numerical simulation of Kirchhoff plate problems
- Surfaces Generated by Moving Least Squares Methods
- Element‐free Galerkin methods
- Polynomial particular solutions for certain partial differential operators
- Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions
- BEM for thermoelasticity and elasticity with body force -- a revisit
- A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
