Title of article :
Boundary element methods for boundary condition inverse problems in elasticity using PCGM and CGM regularization
Author/Authors :
Zhou، نويسنده , , Huanlin and Jiang، نويسنده , , Wei and Hu، نويسنده , , Hao-Tao Niu، نويسنده , , Zhongrong، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Pages :
12
From page :
1471
To page :
1482
Abstract :
For an isotropic linear elastic body, only displacement or traction boundary conditions are given on a part of its boundary, whilst all of displacement and traction vectors are unknown on the rest of the boundary. The inverse problem is different from the Cauchy problems. All the unknown boundary conditions on the whole boundary must be determined with some interior pointsʹ information. The preconditioned conjugate gradient method (PCGM) in combination with the boundary element method (BEM) is developed for reconstructing the boundary conditions, and the PCGM is compared with the conjugate gradient method (CGM). Morozovʹs discrepancy principle is employed to select the iteration step. The analytical integral algorithm is proposed to treat the nearly singular integrals when the interior points are very close to the boundary. The numerical solutions of the boundary conditions are not sensitive to the locations of the interior points if these points are distributed along the entire boundary of the considered domain. The numerical results confirm that the PCGM and CGM produce convergent and stable numerical solutions with respect to increasing the number of interior points and decreasing the amount of noise added into the input data.
Keywords :
boundary element method , inverse problems , conjugate gradient method , Preconditioned conjugate gradient method , Discrepancy principle , Nearly singular integrals
Journal title :
Engineering Analysis with Boundary Elements
Serial Year :
2013
Journal title :
Engineering Analysis with Boundary Elements
Record number :
1446605
Link To Document :
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