scholarly journals A Virtual Boundary Element Method for Three-Dimensional Inverse Heat Conduction Problems in Orthotropic Media

2018 ◽  
Vol 117 (2) ◽  
pp. 189-211
Author(s):  
Xu Liu ◽  
Guojian Shao ◽  
Xingxing Yue ◽  
Qingbin Yang ◽  
Jingbo Su
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Inverse Heat Conduction ◽  
Virtual Boundary ◽  
Orthotropic Media ◽  
Inverse Heat Conduction Problems ◽  
Virtual Boundary Element ◽  
Element Method

Theory of Fast Multipole Virtual Boundary Element Method and Discussion on Key Issues

2012 ◽  
Vol 152-154 ◽  
pp. 1828-1833
Author(s):  
Yan Tao Jiang ◽  
Hong Yuan Bai
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Computing Time ◽  
Engineering Application ◽  
Reference Value ◽  
Fast Multipole ◽  
Key Issues ◽  
Virtual Boundary ◽  
Virtual Boundary Element ◽  
Element Method

The basic theory of fast multipole virtual boundary element method (VBEM) is discussed through expanding the fundamental solution, and the algorithm can make the complexities of operation and memory about solution of the equations to be of linear proportion to the freedoms of the problem. Numerical examples are presented to demonstrate the feasibility, accuracy and efficiency of the method. At the same time, the relationships between the order for expansion and the storage capacity, computing time, precision are analyzed, and the influence of boundary points in the leaf to the calculation efficiency is discussed. The corresponding reference value is put forward for the convenience of engineering application.

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