5 papers
The direct spectral element method for the calculation of synthetic seismograms in self-gravitating, spherically symmetric planets
Alex D. C. Myhill, David Al-Attar
This paper describes the implementation of the direct solution method (DSM) using radial spectral elements for the calculation of synthetic seismograms in self-gravitating, spheric…
Efficient parallel finite-element methods for planetary gravitation: DtN and multipole expansions
Ziheng Yu, Alex D. C. Myhill, David Al-Attar
The Poisson equation governing a planet's gravitational field is posed on the unbounded domain, , whereas finite-element computations require bounded meshes. We imple…
Forward and adjoint calculations of gravitational potential in heterogeneous, aspherical planets
Alex D. C. Myhill, Matthew A. Maitra, David Al-Attar
We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels…
Application of first- and second-order adjoint methods to glacial isostatic adjustment incorporating rotational feedbacks
Ziheng Yu, David Al-Attar, Frank Syvret +1
This paper revisits and extends the adjoint theory for glacial isostatic adjustment (GIA) of Crawford et al. (2018). Rotational feedbacks are now incorporated, and the application…
On the elastodynamics of rotating planets
Matthew Maitra, David Al-Attar
Equations of motion are derived for (visco)elastic, self-gravitating, and variably-rotating planets. The equations are written using a decomposition of the elastic motion that sepa…