Developing three-dimensional mesh-free Galerkin method for structural analysis of general polygonal geometries
Sign Up to like & getrecommendations! Published in 2019 at "Engineering with Computers"
DOI: 10.1007/s00366-019-00749-6
Abstract: In this paper, triangular prismatic cells for background integration on mesh-free methods are introduced and the Gauss integration scheme is developed in these cells. The cells are used in the mesh-free Galerkin method for free vibration, static and… read more here.
Keywords: free galerkin; analysis general; general polygonal; analysis ... See more keywords
Magnetohydrodynamics (MHD) simulation via an adaptive element free Galerkin method
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DOI: 10.1007/s00366-020-01079-8
Abstract: In this work, an adaptive element free Galerkin technique is presented to solve magnetohydrodynamics (MHD) equations. An a posteriori error estimation based on gradient recovery is suggested to find locations with largest error contribution. For… read more here.
Keywords: free galerkin; magnetohydrodynamics mhd; element free; magnetohydrodynamics ... See more keywords
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.10.004
Abstract: Abstract The MHD equation has some applications in physics and engineering. The main aim of the current paper is to propose a new numerical algorithm for solving the MHD equation. At first, the temporal direction… read more here.
Keywords: scheme; free galerkin; method; magnetohydrodynamics ... See more keywords
An adaptive second-order element-free Galerkin method for additive manufacturing process
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DOI: 10.1016/j.commatsci.2020.109911
Abstract: Abstract Element-free Galerkin (EFG) method is applied for the first time to numerical modeling of additive manufacturing (AM) process, in which the superiorities of the EFG method in implementing adaptive computation and in constructing high… read more here.
Keywords: free galerkin; second order; element free; method ... See more keywords
Simple iterative procedure for the thermal–mechanical analysis of continuous casting processes, using the element-free Galerkin method
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Thermal Stresses"
DOI: 10.1080/01495739.2017.1389325
Abstract: ABSTRACT The present work has been conducted to develop a straightforward procedure for solving the thermal–mechanical problem in a conventional continuous casting (CC) process using the element free Galerkin method. The linear momentum balance equation… read more here.
Keywords: free galerkin; thermal mechanical; element free; using element ... See more keywords
Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems*
Sign Up to like & getrecommendations! Published in 2017 at "Chinese Physics B"
DOI: 10.1088/1674-1056/26/3/030203
Abstract: We first give a stabilized improved moving least squares (IMLS) approximation, which has better computational stability and precision than the IMLS approximation. Then, analysis of the improved element-free Galerkin method is provided theoretically for both… read more here.
Keywords: free galerkin; improved element; element free; analysis ... See more keywords
A Hermite interpolation element-free Galerkin method for piezoelectric materials
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Intelligent Material Systems and Structures"
DOI: 10.1177/1045389x211072243
Abstract: Piezoelectric materials have played an important role in industry due to a number of beneficial properties. However, most numerical methods for the piezoelectric materials need mesh, in which the mesh generation and remeshing are prominent… read more here.
Keywords: element free; galerkin method; interpolation element; free galerkin ... See more keywords