Results 11 to 20 of about 11,850 (154)
The Improved Element-Free Galerkin Method for 3D Helmholtz Equations [PDF]
Mathematics, 2021 The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
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Mathematics, 2023 In order to obtain the numerical results of 3D convection-diffusion-reaction problems with variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method instead of the traditional element-free Galerkin (EFG) method by ...
Heng Cheng, Zebin Xing, Yan Liu
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Computer Assisted Methods in Engineering and Science, 2017 In this paper, a comparison between the improved element-free Galerkin (IEFG) method, based on the improved moving least square (IMLS) approximation, and the element-free Galerkin (EFG) method, based on the moving least square (MLS) approximation, is ...
Imen Debbabi +2 more
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Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method [PDF]
Mathematical Problems in Engineering, 2020 In this paper, the improved element-free Galerkin (IEFG) method is used for solving 3D advection-diffusion problems. The improved moving least-squares (IMLS) approximation is used to form the trial function, the penalty method is applied to introduce the
Heng Cheng, Guodong Zheng
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The improved element-free Galerkin method for elastoplasticity large deformation problems [PDF]
SCIENTIA SINICA Physica, Mechanica & Astronomica, 2018 Based on the improved moving least-squares (IMLS) approximation, the improved element-free Galerkin (IEFG) method for elastoplasticity large deformation problems is presented. Compared with the moving least-squares (MLS) approximation, by orthogonalizing the basis function, the IMLS approximation can overcome the disadvantage of ill-conditional or ...
Xiao-shu Cai, M. Peng, Yumin Cheng
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Advances in the Improved Element-Free Galerkin Methods: A Comprehensive Review
Computer Modeling in Engineering & Sciences: The element-free Galerkin (EFG) method, which constructs shape functions via moving least squares (MLS) approximation, represents a fundamental and widely studied meshless method in numerical computation.
Heng Cheng, Yichen Yang, Yumin Cheng
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Optics Express, 2009 Bioluminescence tomography (BLT) has become a powerful tool for whole-body small animal imaging. In this contribution, an adaptive improved element free Galerkin method (IEFGM) is presented to perform a quantitative reconstruction of the internal light ...
C. Qin +8 more
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Alexandria Engineering JournalIn this study, the improved interpolating element-free Galerkin (IIEFG) method with a nonsingular weight function for solving the 3D Schrödinger equations is presented.
Haili Cui +3 more
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Free convection investigation for a Casson-based Cu−H2O nanofluid in semi parabolic enclosure with corrugated cylinder [PDF]
HeliyonThe optimization of heat transfer in various engineering applications, such as thermal management systems and energy storage devices, remains a crucial challenge. This study aims to investigate the potential of Casson-based Cu-H2O nanofluids in enhancing
Rafel H. Hameed +7 more
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Computers, Materials & Continua: In this paper, we develop an advanced computational framework for the topology optimization of orthotropic materials using meshless methods. The approximation function is established based on the improved moving least squares (IMLS) method, which ...
Wenna He +3 more
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