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math.NA2026
A Finite Element Method for the Grad--Mercier Equation
Ben Ashby, Tristan Pryer
We develop and analyse a conforming piecewise affine finite element method for the Grad--Mercier equation, a nonlocal elliptic model for magnetic equilibria whose source depends on…
math.NA2026
Diffusion Synthetic Acceleration for polytopic discretisations of Boltzmann transport
Ansar Calloo, Matthew Evans, François Madiot +1
We present a computational study of diffusion synthetic acceleration (DSA) for the monoenergetic, isotropically scattering transport equations, discretised in space by a poly…
math.NA2026
Characteristic Sweeps and Source Iteration for Charged-Particle Transport with Continuous Slowing-Down and Angular Scattering
Ben S. Ashby, Alex Lukyanov, Tristan Pryer
We develop a semi-analytic deterministic framework for charged-particle transport with continuous slowing-down in energy and angular scattering. Directed transport and energy advec…