The Research Of Multidimensional Multi-pole BEM Methods

In the present engineering calculation domain, the problem solving scale and the computation precision especially big are unable the front topic because of the operation scale which asks about puts aside. The author in the existing FMM-BEM foundation, boldly proposes one kind of new solution mentality - group surface multi polar method.This paper summarize the development history,existing situation and recently development tendency of BEM;the fundamental theory of BEM and elastic contact problem's BEM, And on base of the existing multi-pole methods, through researching on the sphere harmonic function and numerical calculation formula of FMM-BEM, the boundary basic theory and the boundary in rectangular coordinates, using the thoughts of isoperimetric element, the theory frames and calculation formulas of multi-dimensions multi-pole boundary element methods is built, the FORTRAN source routine that adopts the large scale high speed calculate the multi-dimensions multi-pole boundary element method is developed, and the calculation examples and analysis is gave out to combined reform the traditional calculating structure. The calculation precision is got further increase, this gives a powerful mathematics support to get the large scale projects and establishes the basis to the further prompt and develop of FMM-BEM.The value experiment indicated that, group surface multi polar boundary element method adapts the large-scale operation.