Discontinuous Galerkin methods on hp-anisotropic meshes I: a priori error analysis. - Emmanuil H. Georgoulis; Edward J. C. Hall; Paul Houston (Int. J. Comput. Sci. Math., 2007)

Extending the Range of Error Estimates for Radial Approximation in Euclidean Space and on Spheres. - R. A. Brownlee; Emmanuil H. Georgoulis; Jeremy Levesley (SIAM J. Math. Anal., 2007)

Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes. - Emmanuil H. Georgoulis; Edward J. C. Hall; Paul Houston (SIAM J. Sci. Comput., 2007)

Inverse-type estimates on hp-finite element spaces and applications. - Emmanuil H. Georgoulis (Math. Comput., 2008)

Norm Preconditioners for Discontinuous Galerkin hp-Finite Element Methods. - Emmanuil H. Georgoulis; Daniel Loghin (SIAM J. Sci. Comput., 2008)

On the Suboptimality of the p-Version Interior Penalty Discontinuous Galerkin Method. - Emmanuil H. Georgoulis; Edward J. C. Hall; Jens Markus Melenk (J. Sci. Comput., 2010)

Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction. - Terhemen Aboiyar; Emmanuil H. Georgoulis; Armin Iske (SIAM J. Sci. Comput., 2010)

A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems. - Emmanuil H. Georgoulis; Omar Lakkis; Juha M. Virtanen (SIAM J. Numer. Anal., 2011)

Implementation of the Continuous-Discontinuous Galerkin Finite Element Method - Andrea Cangiani; John Chapman; Emmanuil H. Georgoulis; Max Jensen (CoRR, 2012)

On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods - Andrea Cangiani; John Chapman; Emmanuil H. Georgoulis; Max Jensen (CoRR, 2012)

Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. - Alan Demlow; Emmanuil H. Georgoulis (SIAM J. Numer. Anal., 2012)

On the Stability of Continuous-Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems. - Andrea Cangiani; John Chapman; Emmanuil H. Georgoulis; Max Jensen (J. Sci. Comput., 2013)

An Adaptive Discontinuous Galerkin Multiscale Method for Elliptic Problems. - Daniel Elfverson; Emmanuil H. Georgoulis; Axel Målqvist (Multiscale Model. Simul., 2013)

Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes. - Andrea Cangiani; Emmanuil H. Georgoulis; Max Jensen (SIAM J. Numer. Anal., 2013)

Convergence of a Discontinuous Galerkin Multiscale Method. - Daniel Elfverson; Emmanuil H. Georgoulis; Axel Målqvist; Daniel Peterseim (SIAM J. Numer. Anal., 2013)

Stopping Criteria for Adaptive Finite Element Solvers. - Mario Arioli; Emmanuil H. Georgoulis; Daniel Loghin (SIAM J. Sci. Comput., 2013)

Multilevel Sparse Kernel-Based Interpolation. - Emmanuil H. Georgoulis; Jeremy Levesley; Fazli Subhan (SIAM J. Sci. Comput., 2013)

Adaptive discontinuous Galerkin approximations to fourth order parabolic problems. - Emmanuil H. Georgoulis; Juha M. Virtanen (Math. Comput., 2015)

A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems. - Emmanuil H. Georgoulis; Omar Lakkis; Charalambos G. Makridakis; Juha M. Virtanen (SIAM J. Numer. Anal., 2016)

Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems. - Andrea Cangiani; Emmanuil H. Georgoulis; Irene Kyza; Stephen Metcalfe (SIAM J. Sci. Comput., 2016)

A posteriori error estimates for the virtual element method. - Andrea Cangiani; Emmanuil H. Georgoulis; Tristan Pryer; Oliver J. Sutton (Numerische Mathematik, 2017)

A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation. - Lehel Banjai; Emmanuil H. Georgoulis; Oluwaseun Lijoka (SIAM J. Numer. Anal., 2017)

hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes. - Andrea Cangiani; Zhaonan Dong; Emmanuil H. Georgoulis (SIAM J. Sci. Comput., 2017)

A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. - Zhaonan Dong; Emmanuil H. Georgoulis; Jeremy Levesley; Fuat Usta (Comput. Math. Appl., 2018)

Adaptive discontinuous Galerkin methods for elliptic interface problems. - Andrea Cangiani; Emmanuil H. Georgoulis; Younis A. Sabawi (Math. Comput., 2018)

Convergence of adaptive discontinuous Galerkin methods. - Christian Kreuzer; Emmanuil H. Georgoulis (Math. Comput., 2018)

hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems. - Andrea Cangiani; Emmanuil H. Georgoulis; Stefano Giani; Stephen Metcalfe (Comput. Math. Appl., 2019)

Convergence of adaptive discontinuous Galerkin methods (corrected version of [Math. Comp 87 (2018), no 314, 2611-2640]). - Christian Kreuzer; Emmanuil H. Georgoulis (CoRR, 2019)

Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. - Andrea Cangiani; Emmanuil H. Georgoulis; Oliver J. Sutton (CoRR, 2020)

Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems. - Andrea Cangiani; Emmanuil H. Georgoulis; Younis A. Sabawi (J. Comput. Appl. Math., 2020)

A Posteriori Error Analysis for Implicit-Explicit hp-Discontinuous Galerkin Timestepping Methods for Semilinear Parabolic Problems. - Andrea Cangiani; Emmanuil H. Georgoulis; Mohammad Sabawi (J. Sci. Comput., 2020)

A Posteriori Error Estimates for the Allen-Cahn Problem. - Konstantinos Chrysafinos; Emmanuil H. Georgoulis; Dimitra Plaka (SIAM J. Numer. Anal., 2020)

Corrigendum to "Convergence of adaptive, discontinuous Galerkin methods". - Christian Kreuzer; Emmanuil H. Georgoulis (Math. Comput., 2021)

A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems. - Emmanuil H. Georgoulis; Omar Lakkis; Thomas P. Wihler (Numerische Mathematik, 2021)

Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation. - Emmanuil H. Georgoulis (SIAM J. Numer. Anal., 2021)

GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes. - Zhaonan Dong; Emmanuil H. Georgoulis; Thomas Kappas (SIAM J. Sci. Comput., 2021)

Robust Interior Penalty Discontinuous Galerkin Methods. - Zhaonan Dong; Emmanuil H. Georgoulis (J. Sci. Comput., 2022)

hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. - Andrea Cangiani; Zhaonan Dong; Emmanuil H. Georgoulis (Math. Comput., 2022)

Discrete gradient flow approximations of high dimensional evolution partial differential equations via deep neural networks. - Emmanuil H. Georgoulis; Michail Loulakis; Asterios Tsiourvas (Commun. Nonlinear Sci. Numer. Simul., 2023)

A Nodally Bound-Preserving Finite Element Method. - Gabriel R. Barrenechea; Emmanuil H. Georgoulis; Tristan Pryer; Andreas Veeser (CoRR, 2023)

A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes. - Andrea Cangiani; Zhaonan Dong; Emmanuil H. Georgoulis (SIAM J. Numer. Anal., 2023)

A deep implicit-explicit minimizing movement method for option pricing in jump-diffusion models. - Emmanuil H. Georgoulis; Antonis Papapantoleon; Costas Smaragdakis (CoRR, 2024)

A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation. - Zhaonan Dong; Emmanuil H. Georgoulis; Philip J. Herbert (CoRR, 2024)

Level-set shape optimization via polytopic discontinuous Galerkin methods. - Raphael E. Fernandes; Emmanuil H. Georgoulis; Alberto Paganini (CoRR, 2024)

Mesh-Dependent L2-Like Norm a Posteriori Error Estimates for Elliptic Problems with Non-essential Boundary Conditions. - Konstantinos Chrysafinos; Emmanuil H. Georgoulis; Vassilis D. Papadopoulos (J. Sci. Comput., 2024)

A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation. - Zhaonan Dong; Emmanuil H. Georgoulis; Philip J. Herbert (SIAM J. Numer. Anal., 2025)

An posteriori error estimator for discontinuous Galerkin discretisations of convection-diffusion problems with application to Earth's mantle convection simulations. - Tiffany Barry; Andrea Cangiani; Samuel P. Cox; Emmanuil H. Georgoulis (CoRR, 2025)

Asymptotic numerical hypocoercivity of the space-time discontinuous Galerkin method for Kolmogorov equation. - Zhaonan Dong; Emmanuil H. Georgoulis; Philip J. Herbert (CoRR, 2025)

Space-time finite element methods for nonlinear wave equations via elliptic regularisation. - Lehel Banjai; Emmanuil H. Georgoulis; Brian Hennessy (CoRR, 2025)