A Method of Transforming Volume Integrals to Boundary Integrals in Possion''''s Equation
  
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DOI:10.7511/jslx19922032
KeyWord:possion's equation,boundary element method,volume integral,boundary integral
Zhang Jian jun
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Abstract:
      In this paper, a method of transforming volume integrals to boundary integrals in two-dimensional and three-dimensional possion's equation is discussed. For the loadings such as xigz(y,z), yigy(x,z) and zigz(x,y) the exact formulae of tansforming volume integrals to boundary integrals are given. For the complicated loadings the volume integrals are approximately transformed to boundary integrals by using Taylor's expansion and error estimations are also given. Calculation results demonstrate that calculation time can be greatly saved by the method in this paper. Therefore, the method in this paper is very effective.