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math.NA2018
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…
math.NA2018
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…