Analyzing wave propagation problems with the improved complex variable element-free Galerkin method

DOI10.1016/j.enganabound.2018.02.001zbMath1464.65116OpenAlexW2789538953WikidataQ130175804 ScholiaQ130175804MaRDI QIDQ1717153

Erdal Karapınar

Publication date: 7 February 2019

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.02.001

zbMATH Keywords

meshless methodwave propagation problemimproved complex variable moving least-squares approximationimproved complex variable element-free Galerkin method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (10)

A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations ⋮ Analysis of the element-free Galerkin method with penalty for general second-order elliptic problems ⋮ Error analysis of the meshless finite point method ⋮ Analyzing 3D advection-diffusion problems by using the improved element-free Galerkin method ⋮ The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow ⋮ A smoothed particle hydrodynamics-peridynamics coupling strategy for modeling fluid-structure interaction problems ⋮ An improved interpolating complex variable element free Galerkin method for the pattern transformation of hydrogel ⋮ An improved interpolating dimension splitting element-free Galerkin method for 3D wave equations ⋮ Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems ⋮ The interpolating element-free Galerkin (IEFG) method for three-dimensional potential problems

Cites Work

• The improved element-free Galerkin method for three-dimensional wave equation
• Analyzing 2D fracture problems with the improved element-free Galerkin method
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• The complex variable interpolating moving least-squares method
• Analysis of the complex moving least squares approximation and the associated element-free Galerkin method
• The improved element-free Galerkin method for two-dimensional elastodynamics problems
• A procedure for approximation of the error in the EFG method
• A posteriorierror approximation in EFG method
• An error indicator for the element-free Galerkin method.

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