4 papers
On Physics-Based Loss Scaling for MF-PINNs applied to the neutron diffusion equation
Minh-Hieu Do, François Madiot, Karim Ammar +1
Physics-Based Loss Scaling (PBLS) is introduced for Mixed-Formulation PINNs (MF-PINNs) applied to the neutron diffusion equation. In particular, we propose a new \textit{scaled} lo…
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…
A posteriori error estimates for mixed finite element discretization of the multigroup Neutron Simplified Transport equations with Robin boundary condition
Patrick Ciarlet, Minh-Hieu Do, Mario Gervais +1
We analyse a posteriori error estimates for the discretization with mixed finite elements on simplicial or Cartesian meshes of the multigroup neutron simplified transport (SPN ) eq…
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…