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Numerical Methods for Gravity Inversion, Synthetic Aperture Radar, and Travel-Time Tomography.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Numerical Methods for Gravity Inversion, Synthetic Aperture Radar, and Travel-Time Tomography./
Author:	Gao, Qinfeng.
Description:	1 online resource (88 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Applied mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369746150

Numerical Methods for Gravity Inversion, Synthetic Aperture Radar, and Travel-Time Tomography.
Gao, Qinfeng.

Numerical Methods for Gravity Inversion, Synthetic Aperture Radar, and Travel-Time Tomography. - 1 online resource (88 pages)

Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Inverse problems have many applications. In this thesis, we focus on designing and implementing numerical methods for three inverse problems: gravity inversion, synthetic aperture radar, and travel-time tomography. We present extensive numerical examples to demonstrate that these algorithms are stable and efficient.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369746150Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Numerical Methods for Gravity Inversion, Synthetic Aperture Radar, and Travel-Time Tomography.
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100 1 $a Gao, Qinfeng. $3 1180650
245 1 0 $a Numerical Methods for Gravity Inversion, Synthetic Aperture Radar, and Travel-Time Tomography.
264 0 $c 2017
300 $a 1 online resource (88 pages)
336 $a text $b txt $2 rdacontent
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338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
500 $a Adviser: Jianliang Qian.
502 $a Thesis (Ph.D.) $c Michigan State University $d 2017.
504 $a Includes bibliographical references
520 $a Inverse problems have many applications. In this thesis, we focus on designing and implementing numerical methods for three inverse problems: gravity inversion, synthetic aperture radar, and travel-time tomography. We present extensive numerical examples to demonstrate that these algorithms are stable and efficient.
520 $a In Chapter 2, low-rank approximation is incorporated into a local level-set method for gravity inversion. This change helps to reduce the computational time of the mismatch gravity force term on the boundary, and reduces the computational complexity from O(N3) to O(N2) in 2D and from O( N5) to O(N 4) in 3D. Many numerical results show that the locations of unknown objects are accurately captured by this low-rank level-set method. In Chapter 3, both the wave equation and Radon transform are carried out as an approach to the synthetic aperture radar problem. The wave-equation-based method includes harmonic extension at terminal time, solving the wave equation backward using a perfectly matched layer, and Neumann iteration. These two methods provide comparable results and help to prove that a curved flight path is no better than a straight one. In Chapter 4, we implement the finite element method as a penalization-regularization-operator splitting method for travel-time tomography based on the eikonal equation. Both the travel time and slowness are recovered with this algorithm in both 2D and 3D. Finally, Chapter 5 contains our conclusions.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Michigan State University. $b Applied Mathematics - Doctor of Philosophy. $3 1180651
773 0 $t Dissertation Abstracts International $g 78-09B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10262293 $z click for full text (PQDT)