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Mathematical Method of a New Fast BEM for 2D Potential Problems

The boundary element method (BEM) has been successfully applied to 2D and 3D large scale potential problems and efficiently reduce the computing operations and memory requirements. In this paper, by using Laplace Transformation, a new kind of fast BEM for 2D potential problems is presented. Using this method, the logarithm operation can be converted to product operation, the calculation complexity can be reduced. and the computational speed can be improved.