A meshless Hermite weighted least-square method for piezoelectric structures

DOI10.1016/j.amc.2021.126073OpenAlexW3130331787MaRDI QIDQ2242690

Yanyan Li

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126073

zbMATH Keywords

collocation methodmeshless methodpiezoelectric structureselectromechanical coupling problemsHermite weighted least-square method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Electromagnetic effects in solid mechanics (74F15) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (3)

A Hermite interpolation element-free Galerkin method for functionally graded structures ⋮ An improved meshless method based on the dimension splitting moving least-squares method for elasticity problems ⋮ An improved stabilized element-free Galerkin method for solving steady Stokes flow problems

Cites Work

• Coupled partition of unity method and improved meshless weighted least-square method for two-dimensional interior structure-acoustic problem
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• Radial basis reproducing kernel particle method for piezoelectric materials
• The complex variable meshless local Petrov-Galerkin method for elastodynamic analysis of functionally graded materials
• On the energy extraction from large amplitude vibrations of MEMS-based piezoelectric harvesters
• Electro-dynamic analysis of smart nanoclay-reinforced plates with integrated piezoelectric layers
• The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations
• An efficient meshless technique for the solution of transversely isotropic two-dimensional piezoelectricity
• A simple solution procedure to 3D-piezoelectric problems: isotropic BEM coupled with a point collocation method
• Least‐squares collocation meshless method
• Boundary element-free method for fracture analysis of 2-D anisotropic piezoelectric solids
• The Hermit-Type Reproducing Kernel Particle Method for Elasticity Problems

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