2 citations · 2 across the 4 of their papers we have counts for
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…
Steady states of two-dimensional granular systems are unique, stable, and sometimes satisfy detailed balance
Alex D. C. Myhill, Raphael Blumenfeld
Understanding the structural evolution of granular systems is a long-standing problem. A recently proposed theory for such dynamics in two dimensions predicts that steady states of…
Analysis of a generalised Boltzmann equation for anomalous diffusion under time-dependent fields
Alex D. C. Myhill, Peter W. Stokes, Bronson Philippa +1
The generalised Boltzmann equation which treats the combined localised and delocalised nature of transport present in certain materials is extended to accommodate time-dependent fi…