The PCGM For Cauchy Inverse Problems In
3D Potential
Author(s)
Huanlin Zhou, Buxi Bian, Changzheng Cheng & Zhongrong Niu
Abstract
The preconditioned conjugate gradient method (PCGM) in combination with the
boundary element method (BEM) is developed for reconstructing the boundary
conditions in 3-D potential. Morozov’s discrepancy principle is employed to
select the iteration step. The semi-analytical integral algorithm is proposed to
treat the nearly singular integrals when the interior points are very close to the
boundary. The numerical results confirm that the PCGM produces convergent
and stable numerical solutions with respect to decreasing the amount of noise
added into the input data. The numerical solutions are sensitive to the locations
of the interior points when these points are distributed near the boundary without
boundary conditions. The results are more accurate when these points are closer
to the boundary.
Keywords: BEM, inverse problems, Cauchy problems, potential, preconditioned
conjugate gradient method.
Keywords
BEM, inverse problems, Cauchy problems, potential, preconditioned
conjugate gradient method
Related Book
Other papers in this volume
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