Identification of Starshape Constant Conductivity Inclusion from Boundary Measurement | Zendy

Garnadi Agah D. | Zendy

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Identification of Starshape Constant Conductivity Inclusion from Boundary Measurement

Author(s) -

Garnadi Agah D.

Publication year - 2011

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201110375

Subject(s) - constant (computer programming) , conductivity , mathematical analysis , nonlinear system , statement (logic) , inclusion (mineral) , gauss , boundary (topology) , mathematics , fourier transform , boundary value problem , identification (biology) , computer science , physics , chemistry , thermodynamics , political science , botany , quantum mechanics , biology , law , programming language

The problem of determining the interface separating a starshape support of constant conductivity inclusion from boundary measurement data of a solution of the corresponding PDEs is considered. An equivalent statement as a nonlinear integral equation is obtained. The problem is implemented using Fourier method. Numerical experiment based on simplified iteratively regularized Gauss‐Newton method (sIRGNM) is presented. MSC classes: 31A25, 35R30, 65N21. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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