3 papers
math.NA2026
Transport-Matched Penalties for Diffusion Synthetic Acceleration of Polytopic Discontinuous Galerkin Discretisations
Ansar Calloo, Matthew Evans, Francois Madiot +1
Diffusion synthetic acceleration is most effective when its diffusion correction reflects the transport discretisation that generates the iteration error. We develop this principle…
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.NA2024
Cycle-Free Polytopal Mesh Sweeping for Boltzmann Transport
Ansar Calloo, Matthew Evans, Henry Lockyer +3
We introduce a novel property of bounded Voronoi tessellations that enables cycle-free mesh sweeping algorithms. We prove that a topological sort of the dual graph of any Voronoi t…