Matrix eigenvalue method for free-oscillations modelling of spherical elastic bodies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985891%3A_____%2F17%3A00480847" target="_blank" >RIV/67985891:_____/17:00480847 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/17:10366653
Result on the web
<a href="http://dx.doi.org/10.1093/gji/ggx353" target="_blank" >http://dx.doi.org/10.1093/gji/ggx353</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/gji/ggx353" target="_blank" >10.1093/gji/ggx353</a>

Result language
angličtina
Original language name
Matrix eigenvalue method for free-oscillations modelling of spherical elastic bodies
Original language description
Deformations and changes of the gravitational potential of pre-stressed self-gravitating elastic bodies caused by free oscillations are described by means of the momentum and Poisson equations and the constitutive relation. For spherically symmetric bodies, the equations and boundary conditions are transformed into ordinary differential equations of the second order by the spherical harmonic decomposition and further discretized by highly accurate pseudospectral difference schemes on Chebyshev grids, we pay special attention to the conditions at the centre of the models. We thus obtain a series of matrix eigenvalue problems for eigenfrequencies and eigenfunctions of the free oscillations. Accuracy of the presented numerical approach is tested by means of the Rayleigh quotients calculated for the eigenfrequencies up to 500 mHz. Both the modal frequencies and eigenfunctions are benchmarked against the output from the Mineos software package based on shooting methods. The presented technique is a promising alternative to widely used methods because it is stable and with a good capability up to high frequencies.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10505 - Geology

Project
<a href="/en/project/GA14-04372S" target="_blank" >GA14-04372S: Multiscale spatial-temporal complexity of tectonic earthquake sources</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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