The complex variable meshless local Petrov-Galerkin method for elastodynamic problems

DOI10.1016/j.amc.2014.05.123zbMath1335.74054OpenAlexW2069108749MaRDI QIDQ279913

Linghui Wang, Qifang Wang, Baodong Dai, Wei-Wei Zhang

Publication date: 29 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.123

zbMATH Keywords

elastodynamicsmeshless methodcomplex variable meshless local Petrov-Galerkin methodcomplex variable moving least-square method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05)

Related Items (11)

Complex variable moving Kriging interpolation for boundary meshless method ⋮ A meshless complex variable Galerkin boundary node method for potential and Stokes problems ⋮ Error analysis in Sobolev spaces for the improved moving least-square approximation and the improved element-free Galerkin method ⋮ A Hermite interpolation element-free Galerkin method for functionally graded structures ⋮ The complex variable meshless local Petrov-Galerkin method for elasticity problems of functionally graded materials ⋮ The complex variable meshless local Petrov-Galerkin method for elastodynamic analysis of functionally graded materials ⋮ The meshless finite point method for transient elastodynamic problems ⋮ Analysis of the complex moving least squares approximation and the associated element-free Galerkin method ⋮ Three-dimensional complex variable element-free Galerkin method ⋮ A Complex Variable Boundary Element-Free Method for Potential and Helmholtz Problems in Three Dimensions ⋮ The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems

Uses Software

• Mfree2D

Cites Work

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• Complex variable moving least-squares method: a meshless approximation technique
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• A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids

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