2 papers
math.NA2021
Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up
Stephen Metcalfe, Thomas P. Wihler
This work is concerned with the development of an adaptive numerical method for semilinear heat flow models featuring a general (possibly) nonlinear reaction term that may cause th…
math.NA2020
A robust quasi-optimal test norm for a DPG discretization of the convection-diffusion equation
Stephen Metcalfe, Siva Nadarajah
In this work, we propose a new quasi-optimal test norm for a discontinuous Petrov-Galerkin (DPG) discretization of the ultra-weak formulation of the convection-diffusion equation.…