5 citations · 9 across the 5 of their papers we have counts for
5 papers
An Arbitrary-Order Moving-Mesh Finite Element Algorithm for One-Dimensional Implicit Moving Boundary Problems
Matthew E Hubbard, Thomas J Radley
We present a one-dimensional high-order moving-mesh finite element method for moving boundary problems where the boundary velocity depends implicitly on the solution in the interio…
A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier--Stokes equations
Lourenço Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou +2
In this paper we propose and analyze a new Finite Element method for the solution of the two- and three-dimensional incompressible Navier--Stokes equations based on a hybrid discre…
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…
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…
Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport
Paul Houston, Matthew E. Hubbard, Thomas J. Radley +2
We introduce an -version discontinuous Galerkin finite element method (DGFEM) for the linear Boltzmann transport problem. A key feature of this new method is that, while offeri…