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math.NA2026
Multilevel Monte Carlo for Polytopic DG Discretisations with Spatially Represented Random Coefficients
Veronika Chronholm, Matt Evans, Emmanuil H. Georgoulis +1
We develop a multilevel Monte Carlo framework for coercive elliptic problems with random diffusion and reaction coefficients on polytopic meshes, with particular emphasis on the ap…
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.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…