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Frequency domain finite-element and spectral-element acoustic wave modeling using absorbing boundaries and perfectly matched layer.

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Title: Frequency domain finite-element and spectral-element acoustic wave modeling using absorbing boundaries and perfectly matched layer.
Authors: Rahimi Dalkhani, Amin1, Javaherian, Abdolrahim1,2 javaherian@aut.ac.ir, Mahdavi Basir, Hadi1
Source: Waves in Random & Complex Media. May2018, Vol. 28 Issue 2, p367-388. 22p.
Subjects: Sound waves, Seismology, Boundary value problems, Finite element method, Wave equation, Mathematical models
Abstract: Wave propagation modeling as a vital tool in seismology can be done via several different numerical methods among them are finite-difference, finite-element, and spectral-element methods (FDM, FEM and SEM). Some advanced applications in seismic exploration benefit the frequency domain modeling. Regarding flexibility in complex geological models and dealing with the free surface boundary condition, we studied the frequency domain acoustic wave equation using FEM and SEM. The results demonstrated that the frequency domain FEM and SEM have a good accuracy and numerical efficiency with the second order interpolation polynomials. Furthermore, we developed the second order Clayton and Engquist absorbing boundary condition (CE-ABC2) and compared it with the perfectly matched layer (PML) for the frequency domain FEM and SEM. In spite of PML method, CE-ABC2 does not add any additional computational cost to the modeling except assembling boundary matrices. As a result, considering CE-ABC2 is more efficient than PML for the frequency domain acoustic wave propagation modeling especially when computational cost is high and high-level absorbing performance is unnecessary. [ABSTRACT FROM AUTHOR]
Copyright of Waves in Random & Complex Media is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Frequency domain finite-element and spectral-element acoustic wave modeling using absorbing boundaries and perfectly matched layer.
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  Data: <searchLink fieldCode="AR" term="%22Rahimi+Dalkhani%2C+Amin%22">Rahimi Dalkhani, Amin</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Javaherian%2C+Abdolrahim%22">Javaherian, Abdolrahim</searchLink><relatesTo>1,2</relatesTo><i> javaherian@aut.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Mahdavi+Basir%2C+Hadi%22">Mahdavi Basir, Hadi</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Waves+in+Random+%26+Complex+Media%22">Waves in Random & Complex Media</searchLink>. May2018, Vol. 28 Issue 2, p367-388. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Sound+waves%22">Sound waves</searchLink><br /><searchLink fieldCode="DE" term="%22Seismology%22">Seismology</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+equation%22">Wave equation</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Wave propagation modeling as a vital tool in seismology can be done via several different numerical methods among them are finite-difference, finite-element, and spectral-element methods (FDM, FEM and SEM). Some advanced applications in seismic exploration benefit the frequency domain modeling. Regarding flexibility in complex geological models and dealing with the free surface boundary condition, we studied the frequency domain acoustic wave equation using FEM and SEM. The results demonstrated that the frequency domain FEM and SEM have a good accuracy and numerical efficiency with the second order interpolation polynomials. Furthermore, we developed the second order Clayton and Engquist absorbing boundary condition (CE-ABC2) and compared it with the perfectly matched layer (PML) for the frequency domain FEM and SEM. In spite of PML method, CE-ABC2 does not add any additional computational cost to the modeling except assembling boundary matrices. As a result, considering CE-ABC2 is more efficient than PML for the frequency domain acoustic wave propagation modeling especially when computational cost is high and high-level absorbing performance is unnecessary. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Waves in Random & Complex Media is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/17455030.2017.1355079
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 22
        StartPage: 367
    Subjects:
      – SubjectFull: Sound waves
        Type: general
      – SubjectFull: Seismology
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Wave equation
        Type: general
      – SubjectFull: Mathematical models
        Type: general
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      – TitleFull: Frequency domain finite-element and spectral-element acoustic wave modeling using absorbing boundaries and perfectly matched layer.
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            NameFull: Rahimi Dalkhani, Amin
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            NameFull: Javaherian, Abdolrahim
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            NameFull: Mahdavi Basir, Hadi
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            – D: 01
              M: 05
              Text: May2018
              Type: published
              Y: 2018
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            – TitleFull: Waves in Random & Complex Media
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