A Rayleigh-Ritz method based approach to computing seismic normal modes in the presence of an essential spectrum Article Swipe
Jia Shi
,
Ruipeng Li
,
Yuanzhe Xi
,
Yousef Saad
,
Maarten V. de Hoop
·
YOU?
·
· 2019
· Open Access
·
YOU?
·
· 2019
· Open Access
·
A Rayleigh-Ritz with Continuous Galerkin method based approach is presented to compute the normal modes of a planet in the presence of an essential spectrum. The essential spectrum is associated with a liquid outer core. The presence of a liquid outer core requires the introduction of a mixed Continuous Galerkin finite-element approach. Our discretization utilizes fully unstructured tetrahedral meshes for both solid and fluid domains. The relevant generalized eigenvalue problem is solved by a combination of several highly parallel, computationally efficient methods. Self-gravitation is treated as an N-body problem and the relevant gravitational potential is evaluated directly and efficiently utilizing the fast multipole method. The computational experiments are performed on constant elastic balls and the isotropic version of the preliminary reference earth model (PREM) for validation. Our proposed algorithm is illustrated in fully heterogeneous models including one combined with crust 1.0.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://arxiv.org/abs/1906.11082
- OA Status
- green
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2955535849
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W2955535849Canonical identifier for this work in OpenAlex
- Title
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A Rayleigh-Ritz method based approach to computing seismic normal modes in the presence of an essential spectrumWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2019Year of publication
- Publication date
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2019-06-25Full publication date if available
- Authors
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Jia Shi, Ruipeng Li, Yuanzhe Xi, Yousef Saad, Maarten V. de HoopList of authors in order
- Landing page
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https://arxiv.org/abs/1906.11082Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/abs/1906.11082Direct OA link when available
- Concepts
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Discretization, Isotropy, Eigenvalues and eigenvectors, Finite element method, Multipole expansion, Gravitation, Normal mode, Applied mathematics, Computer science, Mathematical analysis, Mathematics, Geometry, Physics, Classical mechanics, Vibration, Acoustics, Quantum mechanics, ThermodynamicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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20Other works algorithmically related by OpenAlex
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