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2023 | OriginalPaper | Chapter

Transversely Isotropic Homogeneous Medium with Absorbing Boundary Conditions: Elastic Wave Propagation Using Spectral Element Method

Author : Poonam Saini

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

This chapter delves into the complexities of elastic wave propagation in transversely isotropic media, a common scenario in fields like seismology and geophysics. It introduces the Spectral Element Method (SEM) as a more efficient alternative to the Finite Element Method (FEM) for solving these problems. The SEM, with its high accuracy and rapid convergence, is particularly advantageous in handling the intricate boundary conditions necessary for modeling wave propagation in unbounded domains. The chapter goes into detail about the mathematical formulation of the SEM, including the derivation of the weak formulation and the discretization process. It also highlights the use of absorbing boundary conditions to eliminate reflections and improve the accuracy of simulations. The results are validated through comparisons with analytical solutions, showcasing the method's effectiveness in capturing the behavior of elastic waves in transversely isotropic media. This makes the chapter a valuable resource for researchers and practitioners seeking advanced techniques for wave propagation modeling in complex geological structures.
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previous chapter Propagation of Water Waves in the Presence of a Horizontal Plate Submerged in a Two-Layer Fluid
next chapter Growth of Polynomials Having No Zero Inside a Circle
Appendix
Available only for authorised users
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Metadata
Title
Transversely Isotropic Homogeneous Medium with Absorbing Boundary Conditions: Elastic Wave Propagation Using Spectral Element Method
Author
Poonam Saini
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_31

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