Element-free Galerkin scaled boundary method based on moving Kriging interpolation for steady heat conduction analysis

2019 ◽  
Vol 106 ◽  
pp. 440-451 ◽  
Author(s):  
Feng Wang ◽  
Gao Lin ◽  
Yi-hong Zhou ◽  
Deng-hong Chen
Keyword(s):  
Heat Conduction ◽  
Kriging Interpolation ◽  
Moving Kriging Interpolation ◽  
Element Free Galerkin ◽  
Boundary Method ◽  
Element Free ◽  
Steady Heat Conduction ◽  
Steady Heat

An Element-Free Galerkin Method Based on Complex Variable Moving Kriging Interpolation for Potential Problems

2016 ◽  
Vol 13 (03) ◽  
pp. 1650013
Author(s):  
Yi Huang ◽  
Sanshan Tu ◽  
Hongqi Yang ◽  
Leilei Dong
Keyword(s):  
Complex Variable ◽  
Meshless Method ◽  
Kriging Interpolation ◽  
Element Free Galerkin Method ◽  
Moving Kriging Interpolation ◽  
Element Free Galerkin ◽  
Domain Type ◽  
Potential Problems ◽  
Low Efficiency ◽  
Element Free

The moving Kriging interpolation (MKI) is an accurate approximation method that has the interpolating property. However, it is rarely used in meshless methods because of its low efficiency. In this paper, we proposed an efficient MKI method, the complex variable moving Kriging interpolation (CVMKI) method, for “domain” type meshless method. Further, we proposed the CVMKI-based element-free Galerkin (CVMKIEFG) method for 2D potential problems. CVMKIEFG is an efficient meshless method and can impose the essential boundary conditions directly and easily. We proposed two formulations for CVMKIEFG: the conventional formulation and the cell-based formulation. The latter formulation is proposed for higher efficiency. Three 2D example problems are presented to demonstrate the efficiency and accuracy of CVMKIEFG.

3-D Steady Heat Conduction Solver via Deep Learning

2021 ◽  
pp. 1-1
Author(s):  
Yinpeng Wang ◽  
Jianmei Zhou ◽  
Qiang Ren ◽  
Yaoyao Li ◽  
Donglin Su
Keyword(s):  
Deep Learning ◽  
Heat Conduction ◽  
Steady Heat Conduction ◽  
Steady Heat
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