A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading
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Publication:2060923
DOI10.1016/j.aml.2021.107664OpenAlexW3199189009MaRDI QIDQ2060923
Publication date: 13 December 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107664
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Optics, electromagnetic theory (78-XX)
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Cites Work
- A boundary element method for dynamic plate bending problems
- A frequency domain formulation of the singular boundary method for dynamic analysis of thin elastic plate
- Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions
- Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains
- A spatial-temporal GFDM with an additional condition for transient heat conduction analysis of FGMs
- The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm
- Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures
- An efficient localized collocation solver for anomalous diffusion on surfaces
- Error analysis of the meshless finite point method
- An element-free Galerkin method for the obstacle problem
- Localized method of fundamental solutions for 2D harmonic elastic wave problems
- 2.5D singular boundary method for acoustic wave propagation
- Space-time generalized finite difference nonlinear model for solving unsteady Burgers' equations
- Simulation of antiplane shear problems with multiple inclusions using the generalized finite difference method
- Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials
- Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions
- A high accuracy method for long-time evolution of acoustic wave equation
- Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
- A semi-Lagrangian meshless framework for numerical solutions of two-dimensional sloshing phenomenon
- A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography
- Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems
- The dynamic transient analysis of axisymmetric circular plates by the finite element method
- A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems
- Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals
- Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory
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