Integral and Variational Formulations for the Helmholtz Equation Inverse Source Problem
Joint Authors
Roberty, Nilson C.
Rainha, Marcelo L.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-28
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
The purpose of this paper is to explore the Hilbert space functional structure of the Helmholtz equation inverse source problem.
An integral equation for the sources reconstruction based on the composition of the trace and Green's function operators is introduced and compared with the reciprocity source reconstruction methodologies.
An equivalence theorem comparing the integral inverse source equation with the variational weak reciprocity gap functional equation is then demonstrated.
Some examples on applications to the unitary disk are presented.
American Psychological Association (APA)
Rainha, Marcelo L.& Roberty, Nilson C.. 2012. Integral and Variational Formulations for the Helmholtz Equation Inverse Source Problem. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1001952
Modern Language Association (MLA)
Rainha, Marcelo L.& Roberty, Nilson C.. Integral and Variational Formulations for the Helmholtz Equation Inverse Source Problem. Mathematical Problems in Engineering No. 2012 (2012), pp.1-28.
https://search.emarefa.net/detail/BIM-1001952
American Medical Association (AMA)
Rainha, Marcelo L.& Roberty, Nilson C.. Integral and Variational Formulations for the Helmholtz Equation Inverse Source Problem. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-1001952
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001952