3 papers
math.NA2023
Analysis of Iterative Methods for the Linear Boltzmann Transport Equation
Paul Houston, Matthew E. Hubbard, Thomas J. Radley
In this article we consider the iterative solution of the linear system of equations arising from the discretisation of the poly-energetic linear Boltzmann transport equation using…
math.NA2023
Quadrature-Free Polytopic Discontinuous Galerkin Methods for Transport Problems
Thomas J. Radley, Paul Houston, Matthew E. Hubbard
In this article we consider the application of Euler's homogeneous function theorem together with Stokes' theorem to exactly integrate families of polynomial spaces over general po…
math.NA2023
A divergence free -RIPG stream function formulation of the incompressible Stokes system with variable viscosity
Nathan Sime, Paul Houston, Cian R. Wilson +1
Pointwise divergence free velocity field approximations of the Stokes system are gaining popularity due to their necessity in precise modelling of physical flow phenomena. Several…