The direct spectral element method for the calculation of synthetic seismograms in self-gravitating, spherically symmetric planets

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ID: 315655
2026
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Abstract
Summary This paper describes the implementation of the direct solution method (DSM) using radial spectral elements for the calculation of synthetic seismograms in self-gravitating, spherically symmetric, non-rotating, anelastic, and transversely isotropic Earth models. In contrast to previous implementations of the DSM that used a potential formulation within fluid regions, we use a displacement formulation throughout. It is this feature that allows us to extend the DSM to account fully for self-gravitation along with arbitrary fluid stratification. Our code, DSpecM1D, is benchmarked against the normal mode summation code specnm as well as the direct radial integration code YSpec. Agreement between the codes is excellent for both elastic and anelastic models.
Reference Key
openalex_W7163317639 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors A D C Myhill, D Al-Attar
Journal geophysical journal international
Year 2026
DOI
10.1093/gji/ggag211
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