@article {CANGIANI20193090,
	title = {hp-adaptive discontinuous Galerkin methods for non-stationary convection{\textendash}diffusion problems},
	journal = {Computers \& Mathematics with Applications},
	volume = {78},
	number = {9},
	year = {2019},
	note = {Applications of Partial Differential Equations in Science and Engineering},
	pages = {3090-3104},
	abstract = {An a posteriori error estimator for the error in the (L2(H1)+L$\infty$(L2))-type norm for an interior penalty discontinuous Galerkin (dG) spatial discretisation and backward Euler temporal discretisation of linear non-stationary convection{\textendash}diffusion initial/boundary value problems is derived, allowing for anisotropic elements. The proposed error estimator is used to drive an hp-space{\textendash}time adaptive algorithm wherein directional mesh refinement is employed to give rise to highly anisotropic elements able to accurately capture layers. The performance of the hp-space{\textendash}time adaptive algorithm is assessed via a number of standard test problems characterised by sharp and/or moving layers.},
	keywords = {A posteriori error estimation, Adaptive finite element methods, Anisotropic meshes, Discontinuous Galerkin, Unsteady convection{\textendash}diffusion},
	issn = {0898-1221},
	doi = {https://doi.org/10.1016/j.camwa.2019.04.002},
	url = {https://www.sciencedirect.com/science/article/pii/S0898122119302007},
	author = {Andrea Cangiani and E.H. Georgoulis and Stefano Giani and S. Metcalfe}
}
