4 papers
Exponential Convergence of -ILGFEM for semilinear elliptic boundary value problems with monomial reaction
Yanchen He, Paul Houston, Christoph Schwab +1
We study the fully explicit numerical approximation of a semilinear elliptic boundary value model problem, which features a monomial reaction and analytic forcing, in a bounded pol…
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…
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…
Two-grid -version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes
Scott Congreve, Paul Houston
This article considers the extension of two-grid -version discontinuous Galerkin finite element methods for the numerical approximation of second-order quasilinear elliptic bou…