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On the Forward and Inverse Computati...
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Vaziri Astaneh, Ali.
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On the Forward and Inverse Computational Wave Propagation Problems.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
On the Forward and Inverse Computational Wave Propagation Problems./
作者:
Vaziri Astaneh, Ali.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:
214 p.
附註:
Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Contained By:
Dissertation Abstracts International78-08B(E).
標題:
Civil engineering. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10583585
ISBN:
9781369622645
On the Forward and Inverse Computational Wave Propagation Problems.
Vaziri Astaneh, Ali.
On the Forward and Inverse Computational Wave Propagation Problems.
- Ann Arbor : ProQuest Dissertations & Theses, 2016 - 214 p.
Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Thesis (Ph.D.)--North Carolina State University, 2016.
This dissertation provides efficient algorithms for forward and inverse modeling of wave propagation problems. The presented methods are verified with synthetic examples and validated with real-life experiments in near surface imaging and nondestructive testing applications.
ISBN: 9781369622645Subjects--Topical Terms:
860360
Civil engineering.
On the Forward and Inverse Computational Wave Propagation Problems.
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First, we study the dispersion analysis of guided waves in the layered waveguides and half-spaces which involves solution of eigenvalue problems. This mathematical model is often used in applications such as near surface imaging, pavement structures characterization and thickness gauging of pipelines. We apply the new discretization technique termed Complex- Length Finite Element Method (CFEM) which increases the efficiency of forward modeling for such piecewise homogenous media, thus reducing the computational cost of associated inverse problems that rely on multiple forward solves.
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Second, we consider the near surface imaging problem and propose an approximate analytical gradient that facilitates more efficient inversion using surface waves. We show that the improvements in both venues, i.e. forward modeling and inversion scheme, leads to an order-of-magnitude reduction in computational cost.
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Third, we focus on efficient simulation of immersed waveguides and propose the use of Perfectly Matched Discrete Layer (PMDL) for modeling the surrounding fluid. Immersed plates, fluid-filled pipes and immersed waveguides with arbitrary cross-section are considered and the guidelines for choosing the discretization parameters are provided. Numerical examples demonstrate the increased efficacy in obtaining the dispersion characteristics.
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Finally, we explore large-scale problems governed by the Helmholtz equation that can be practically solved only through parallel computation. These problems often involve oscillating solutions that pose issues in the performance and scalability of parallel solvers. We propose an improved domain decomposition technique as a preconditioner for iterative solvers, which accelerates the solution convergence compared to existing methods.
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