Monograph
1) A. Cangiani, Z. Dong, E. H. Georgoulis and P. Houston. hp–Version discontinuous Galerkin methods on polygonal and polyhedral meshes. SpringerBriefs in Mathematics (2017)

Journal publications
1 ) E. H. Georgoulis. Inverse-type estimates on hp-finite element spaces and applications. Mathematics of Computation 77 pp. 201-219 (2008).
2) E. H. Georgoulis, O. Lakkis and J.M. Virtanen. A posteriori error control for discontinuous Galerkin methods for parabolic problems. SIAM Journal on Numerical Analysis 49(2) pp. 427-458 (2011).
3) A. Cangiani, E. H. Georgoulis and M. Jensen. Discontinuous Galerkin methods for mass transfer through semi-permeable membranes. SIAM Journal on Numerical Analysis 51(5) pp. 2911-2934 (2013).
4) A. Cangiani, E. H. Georgoulis, I. Kyza and S. Metcalfe. Adaptivity and blow-up detection for nonlinear evolution problems. SIAM Journal on Scientific Computing 38(6) pp. A3833–A3856 (2016).
5) A. Cangiani, E. H. Georgoulis, A. Yu. Morozov, and O. J. Sutton. Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework. Proceedings of the Royal Society A 474(2213) (2018)

Research interests include:

-- Computational Methods for Partial Differential Equations arising in solids, fluids, mathematical biology and multiscale problems; in particular, finite element methods, discontinuous Galerkin methods, finite volume methods, multiscale methods, their error analysis and adaptivity strategies.

-- Approximation Theory; in particular, multivariate approximation using polynomials, radial basis functions and hierarchical/wavelet bases, high-dimensional approximation.