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Title: Meshfree radial point collocation method for heat transfer problems
Keywords: meshfree, radial point interpolation method, colloaction, heat transfer
Issue Date: 6-Dec-2005
Citation: ZHOU BINGHUAN (2005-12-06). Meshfree radial point collocation method for heat transfer problems. ScholarBank@NUS Repository.
Abstract: The primary objective of this thesis is to develop a stable and truly meshfree method for analyzing heat transfer problems based on collocation procedure using radial basis function. In this method, radial point interpolation method is employed to construct shape functions and some effective treatments are implemented to deal with derivative boundary conditions to improve the stability and accuracy of numerical solutions. A new formulation of time-domain least-squares method is also derived to improve the efficiency and accuracy of transient heat transfer problems. Numerical examples of steady and transient problems are analyzed to study the effectiveness and accuracy of the present method.
Appears in Collections:Master's Theses (Open)

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