## Abstract

We present the main properties of the spectral-element method, which is well suited for numerical calculations of synthetic seismograms for three-dimensional Earth models. The technique is based upon a weak formulation of the equations of motion and combines the flexibility of a finite-element method with the accuracy of a pseudospectral method. The mesh is composed of hexahedral elements and honors the main discontinuities in the Earth model. The displacement vector is expressed in each element in terms of high-degree Lagrange interpolants, and integrals are computed based upon Gauss-Lobatto-Legendre quadrature, which leads to an exactly diagonal mass matrix and therefore drastically simplifies the algorithm. We use a fluid-solid coupling formulation that does not require iterations at the core-mantle or inner-core boundaries. The method is efficiently implemented on parallel computers with distributed memory based upon a message-passing methodology. We present two large-scale simulations for a realistic three-dimensional Earth model computed on the Japanese Earth Simulator at periods of 5 s and longer.

Original language | English (US) |
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Title of host publication | Seismic Earth |

Subtitle of host publication | Array Analysis of Broadband Seismograms |

Publisher | wiley |

Pages | 205-227 |

Number of pages | 23 |

ISBN (Electronic) | 9781118666333 |

ISBN (Print) | 087590422X, 9780875904221 |

DOIs | |

State | Published - Mar 19 2013 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

## Keywords

- Seismic arrays
- Seismograms