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physics.geo-ph2026
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…
astro-ph.EP2026
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…