Numerical methods for reconstruction of dipole source parameters and examples of nonuniqueness in the determination of dipole coordinates

Autor: D. V. Churbanov
Rok vydání: 2013
Předmět:
Zdroj: Computational Mathematics and Modeling. 24:517-525
ISSN: 1573-837X
1046-283X
Popis: We investigate the inverse problem of determining the right-hand side of an elliptical equation that describes dipole sources in a disk. The solution of the direct problem is obtained using Green's formula. The inverse problem is reduced to a system of nonlinear equations, which are solved by the gradient method. We also consider a problem of determining the dipole coordinates, which is found to have a nonunique solution. The relative position of the two solutions is shown in diagrams.
Databáze: OpenAIRE