A Survey on Inverse Problems for Applied Sciences
Joint Authors
Yaman, Fatih
Potthast, Roland
Yakhno, Valery G.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-21
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The aim of this paper is to introduce inversion-based engineering applications and to investigate some of the important ones from mathematical point of view.
To do this we employ acoustic, electromagnetic, and elastic waves for presenting different types of inverse problems.
More specifically, we first study location, shape, and boundary parameter reconstruction algorithms for the inaccessible targets in acoustics.
The inverse problems for the time-dependent differential equations of isotropic and anisotropic elasticity are reviewed in the following section of the paper.
These problems were the objects of the study by many authors in the last several decades.
The physical interpretations for almost all of these problems are given, and the geophysical applications for some of them are described.
In our last section, an introduction with many links into the literature is given for modern algorithms which combine techniques from classical inverse problems with stochastic tools into ensemble methods both for data assimilation as well as for forecasting.
American Psychological Association (APA)
Yaman, Fatih& Yakhno, Valery G.& Potthast, Roland. 2013. A Survey on Inverse Problems for Applied Sciences. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-1032514
Modern Language Association (MLA)
Yaman, Fatih…[et al.]. A Survey on Inverse Problems for Applied Sciences. Mathematical Problems in Engineering No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-1032514
American Medical Association (AMA)
Yaman, Fatih& Yakhno, Valery G.& Potthast, Roland. A Survey on Inverse Problems for Applied Sciences. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-1032514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032514