4 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…