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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...
In this paper, we consider a kind of boundary value problem of a second order elliptic differential equation of variable coefficient. First, we give the variation inequality which is equal to this boundary value problem, and prove the existence and uniqueness of the solution of the variation inequality of this kind by using Green formula and variation method lemma. Then we can obtain the existence...
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