Simultaneous numerical determination of a corroded boundary and its admittance
L., Karageorghis, A., Bin-Mohsin, B., Lesnic, D. and Marin, . 2015
In this paper, an inverse geometric problem for Laplace’s equation arising in boundary corrosion detection is considered. This problem, which consists of determining an unknown corroded portion of the boundary of a bounded domain and its admittance Robin coefficient from two pairs of boundary Cauchy data (boundary temperature and heat flux), is solved numerically using the meshless method of fundamental solutions. A non-linear minimization of the objective function is regularized, and the stability of the numerical results is investigated with respect to noise in the input data and various values of the regularization parameters involved.
We give in this article two possible explicit extensions of Stolarsky means to the multi-variable case. They attain all main properties of Stolarsky means and coincide with them in the case of two…
In this mathematical study, the time-independent, incompressible, magneto-hydrodynamic nanofluid flow over a vertical stretching surface has been investigated. The impact of gravitational body…
The reconstruction of complex and irregular targets buried in a surrounding medium from a finite set of non-destructive Cauchy data pairs is an important practical problem in tomographic imaging…