67 citations · 324 across the 36 of their papers we have counts for
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Conservative Galerkin methods for dispersive Hamiltonian problems
James Jackaman, Tristan Pryer
An energy conservative discontinuous Galerkin scheme for a generalised third order KdV type equation is designed. Based on the conservation principle, we propose techniques that al…
Quasinorms in semilinear elliptic problems
James Jackaman, Tristan Pryer
In this note we examine the a priori and a posteriori analysis of discontinuous Galerkin finite element discretisations of semilinear elliptic PDEs with polynomial nonlinearity. We…
A finite element method for the Monge-Ampère equation with transport boundary conditions
Ellya Kawecki, Omar Lakkis, Tristan Pryer
We address the numerical solution via Galerkin type methods of the Monge-Ampère equation with transport boundary conditions arising in optimal mass transport, geometric optics and…
Recovered finite element methods on polygonal and polyhedral meshes
Zhaonan Dong, Emmanuil H. Georgoulis, Tristan Pryer
Recovered finite element methods (R-FEM) have been recently introduced for meshes consisting of simplicial and/or box-type meshes. Here, utilising the flexibility of R-FEM framewor…