![](/images/graphics-bg.png)
On Inverse Problems for Characteristic Sources in Helmholtz Equations
Joint Authors
Roberty, Nilson C.
Alves, Carlos J. S.
Mamud, Roberto
Martins, Nuno F. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-27
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We consider the inverse problem that consists in the determination of characteristic sources, in the modified and classical Helmholtz equations, based on external boundary measurements.
We identify the location of the barycenter establishing a simple formula for symmetric shapes, which also holds for the determination of a single source point.
We use this for the reconstruction of the characteristic source, based on the Method of Fundamental Solutions (MFS).
The MFS is also applied as a solver for the direct problem, using an equivalent formulation as a jump or transmission problem.
As a solver for the inverse problem, we may apply minimization using an equivalent reciprocity functional formulation.
Numerical experiments with the barycenter and the boundary reconstructions are presented.
American Psychological Association (APA)
Alves, Carlos J. S.& Mamud, Roberto& Martins, Nuno F. M.& Roberty, Nilson C.. 2017. On Inverse Problems for Characteristic Sources in Helmholtz Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1189842
Modern Language Association (MLA)
Alves, Carlos J. S.…[et al.]. On Inverse Problems for Characteristic Sources in Helmholtz Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1189842
American Medical Association (AMA)
Alves, Carlos J. S.& Mamud, Roberto& Martins, Nuno F. M.& Roberty, Nilson C.. On Inverse Problems for Characteristic Sources in Helmholtz Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1189842
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189842