By a News Reporter-Staff News Editor at Journal of Engineering -- Research findings on Engineering Analysis are discussed in a new report. According to news reporting out of Shanghai, People's Republic of China, by VerticalNews editors, research stated, "This paper is concerned with the virtual boundary meshless least squares collocation method of two dimensional steady-state heat conduction problems in multi-domain. In the proposed method, each region with different heat transfer properties is considered as a piecewise homogeneous in a heterogeneous system."
Our news journalists obtained a quote from the research from Tongji University, "Being different from the conventional virtual boundary element method (VBEM), this method incorporates the point interpolation method (PIM) with the compactly supported radial basis function (CSRBF) to approximately construct the virtual source function of the VBEM. Consequently, this method has the advantages of boundary-type meshless methods. In addition, it does not have to deal with singular integral and has the symmetric coefficient matrix, and the pre-processing operation is also very simple. Since the mathematical model for steady-state heat conduction can be represented by a generalized Poisson equation, this problem is solved by finding an approximate particular solution to the Poisson equation and making use of the virtual boundary meshless least squares collocation method to solve the resulting Laplace equation. This method can be used to analyze multi-domain composite structures with each subdomain having different heat transfer properties or materials or geometries. Since the configuration of virtual boundary has a certain preparability, the integration along the virtual boundary can be carried out over the smooth simple curve that can be structured beforehand (for 2D problems) to reduce the complicity and difficulty of calculus without loss of accuracy, while 'Vertex Question' existing in BEM can be avoided."
According to the news editors, the research concluded: "In the end, several numerical examples are analyzed using the proposed method and some other commonly used methods for verification and comparison purposes."
For more information on this research see: Solving multi-domain 2D heat conduction problems by the least squares collocation method with RBF interpolation on virtual boundary. Engineering Analysis with Boundary Elements, 2014;42():37-44. Engineering Analysis with Boundary Elements can be contacted at: Elsevier Sci Ltd, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, Oxon, England. (Elsevier - www.elsevier.com; Engineering Analysis with Boundary Elements - www.elsevier.com/wps/product/cws_home/422920)
Our news journalists report that additional information may be obtained by contacting Q. Xu, Tongji Univ, Dept. of Bldg Engn, Shanghai 200092, People's Republic of China.
Keywords for this news article include: Asia, Shanghai, Engineering Analysis, People's Republic of China
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