A BEM based methodology to solve inverse problems considering fictitious background media. (May 2016)

• Record Type: Journal Article
• Authors: Dan, Markcilei Lima; Mansur, Webe João; Peters, Franciane Conceição
• Is Part Of: Engineering analysis with boundary elements. Volume 66(2016:May)
• Page Start: 109
• Page End: 118
• Publication Date: 2016-05
• Subjects: Boundary Element Method -- Helmholtz equation -- Inverse problems -- Inhomogeneous media -- Variable acoustic velocity profile; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.01.011
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper proposes a new BEM based inversion methodology named Fictitious Background Media Inverse Formulation (FBMIF) to solve inverse problems described in terms of the Helmholtz equation for inhomogeneous media. The BEM based approach considers a Green's function related to a homogeneous background medium, a fictitious medium, which works as a transfer function. Thereafter, considering a nonrestrictive linearization scheme, the FBMIF is completely defined. Three examples are used to test the efficacy of the proposed model of inversion, which can be extended to other mathematical models different from those governed by the Helmholtz equation.