Application of Legendre integrate in stochastic finite element
  Revised:July 09, 2003
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DOI:10.7511/jslx20052043
KeyWord:Legendre integrate,stochastic FEM,moment,Monte-Carlo
YANG Jie~*  CHEN Qiu
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Abstract:
      Applyng the Legendre integrate into nonlinear stochastic finite element method, establish the algorithm of Stochastic FEM based on the Legendre integrate. Examples are solved by choosing different kinds of integrate points and verified by Monte-Carlo stochastic FEM. The result shows that the new method is of a high efficiency. For the precision, the first and second moment reach high precision although the integrate points is fewer, however, the high precision of the third and fourth moment need more integrate points.