Entries by Jia Shi

Journal of Scientific Computing: A Non-perturbative Approach to Computing Seismic Normal Modes in Rotating Planets

A continuous Galerkin method based approach is presented to compute the seismic normal modes of rotating planets. Special care is taken to separate out the essential spectrum in the presence of a fluid outer core using a polynomial filtering eigensolver. The relevant elastic-gravitational system of equations, including the Coriolis force, is subjected to a mixed […]

IEEE TPDS: Planetary Normal Mode Computation: Parallel Algorithms, Performance, and Reproducibility

Shi, J., Li, R., Xi, Y., Saad, Y. and de Hoop, M. V., 2021. Planetary normal mode computation: Parallel algorithms, performance, and reproducibility. IEEE Transactions on Parallel and Distributed Systems, 32(11), pp.2609-2622. DOI: 10.1109/TPDS.2021.3050448   Notes: This article has been awarded a “Results Reproduced (ROR-R)” badge.   Abstract: This article is an extension of work entitled “Computing […]

Computational Geosciences: A numerical study of multi-parameter full waveform inversion with iterative regularization using multi-frequency vibroseis data

We study the inverse boundary value problem for time-harmonic elastic waves, for the recovery of P– and S-wave speeds from vibroseis data or the Neumann-to-Dirichlet map. Our study is based on our recent result pertaining to the uniqueness and a conditional Lipschitz stability estimate for parametrizations on unstructured tetrahedral meshes of this inverse boundary value problem. With […]

SuperComputing (SC’18): Computing Planetary Interior Normal Modes with a Highly Parallel Polynomial Filtering Eigensolver

Abstract: A highly parallel algorithm has been developed and exploited to compute the planetary normal modes of the elastic-gravitational system, which is approximated via the mixed finite element method on unstructured tetrahedral meshes. The eigenmodes of the relevant generalized eigenvalue problem were extracted by a Lanczos approach combined with polynomial filtering. In contrast with the standard […]