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A boundary element-free method (BEFM) for two-dimensional potential problems
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DOI：10.1016/j.enganabound.2008.03.005.png)
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Abstract
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Combining the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation, a direct meshess BIE method, which is called the boundary element-free method (BEFM), for two-dimensional potential problems is discussed in this paper. In the IMLS approximation, the weighted orthogonal functions are used as the basis functions; then the algebra equation system is not ill-conditioned and call be solved without obtaining the inverse matrix. Based on the IMLS approximation and the BIE for two-dimensional potential problems, the formulae of the BEFM are given. The BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily; thus, it gives a greater Computational precision. Some numerical examples are presented to demonstrate the method. (c) 2008 Elsevier Ltd. All rights reserved.
Keywords:
Moving least-squares (MLS) approximation
Improved moving least-squares (IMLS) approximation
Weighted orthogonal function
Boundary integral equation
Meshless method
Boundary element-free method (BEFM)
Potential problems
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