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A direct method for reconstructing inclusions and boundary conditions from electrostatic data. (arXiv:1704.07479v1 [math.AP])
来源于:arXiv
In this paper, we will discuss the use of a Sampling Method to reconstruct
impenetrable inclusions from Electrostatic Cauchy data. We consider the case of
a perfectly conducting and impedance inclusion. In either case, we show that
the Dirichlet to Neumann mapping can be used to reconstruct impenetrable
sub-regions via a sampling method. We also propose a non-iterative method to
reconstruct the impedance parameter using the reconstructed boundary of the
inclusion from the knowledge of multiple Cauchy pairs which can be computed
from Dirichlet to Neumann mapping. Some numerical reconstructions are presented
in two space dimensions. 查看全文>>