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基于Kriging代理模型的二维分数阶粘弹性问题的数值求解

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Date of Publication:2013-01-01

Journal:工程力学

Volume:30

Issue:8

Page Number:23

ISSN No.:1000-4750

Abstract:In order to improve computing efficiency, this paper presents a Kriging
   surrogate model based numerical method to solve the direct fractional
   viscoelastic problem. The Kriging surrogate model is set up by making
   use of the displacement solutions given by FEM and FDM at sample points,
   and sample points are selected via a Latin Hypercube sampling technique.
   The computing accuracy and efficiency of the proposed method are tested
   via homogeneous/ regionally inhomogeneous fractional viscoelastic
   numerical examples. The test indicates that the Kriging surrogate model
   is able to provide a reasonable computing accuracy, and is expected to
   save considerable amount of computing expense for large scale direct
   fractional viscoelastic problem which are required to solve repeatedly.

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