Emmanuil H. Georgoulis

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 33

Top Topics

Finite Element Methods

Error Estimates

Alternative Methods

Top Venues

SIAM J. Numer. Anal.

SIAM J. Sci. Comput.

Publications

Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert
A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation. CoRR (2024)
Emmanuil H. Georgoulis, Antonis Papapantoleon, Costas Smaragdakis
A deep implicit-explicit minimizing movement method for option pricing in jump-diffusion models. CoRR (2024)
Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Vassilis D. Papadopoulos
-Like Norm a Posteriori Error Estimates for Elliptic Problems with Non-essential Boundary Conditions. J. Sci. Comput. 100 (1) (2024)
Emmanuil H. Georgoulis, Michail Loulakis, Asterios Tsiourvas
Discrete gradient flow approximations of high dimensional evolution partial differential equations via deep neural networks. Commun. Nonlinear Sci. Numer. Simul. 117 (2023)
Gabriel Barrenechea, Emmanuil H. Georgoulis, Tristan Pryer, Andreas Veeser
A Nodally Bound-Preserving Finite Element Method. CoRR (2023)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes. SIAM J. Numer. Anal. 61 (5) (2023)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. Math. Comput. 91 (333) (2022)
Emmanuil H. Georgoulis, Michail Loulakis, Asterios Tsiourvas
Discrete Gradient Flow Approximations of High Dimensional Evolution Partial Differential Equations via Deep Neural Networks. CoRR (2022)
Zhaonan Dong, Emmanuil H. Georgoulis
Robust Interior Penalty Discontinuous Galerkin Methods. J. Sci. Comput. 92 (2) (2022)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. CoRR (2022)
Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas
GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes. SIAM J. Sci. Comput. 43 (4) (2021)
Zhaonan Dong, Emmanuil H. Georgoulis
Robust interior penalty discontinuous Galerkin methods. CoRR (2021)
Emmanuil H. Georgoulis, Omar Lakkis, Thomas P. Wihler
A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems. Numerische Mathematik 148 (2) (2021)
Christian Kreuzer, Emmanuil H. Georgoulis
Corrigendum to "Convergence of adaptive, discontinuous Galerkin methods". Math. Comput. 90 (328) (2021)
Emmanuil H. Georgoulis
Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation. SIAM J. Numer. Anal. 59 (1) (2021)
Andrea Cangiani, Emmanuil H. Georgoulis, Mohammad Sabawi
A Posteriori Error Analysis for Implicit-Explicit hp-Discontinuous Galerkin Timestepping Methods for Semilinear Parabolic Problems. J. Sci. Comput. 82 (2) (2020)
Andrea Cangiani, Emmanuil H. Georgoulis, Oliver J. Sutton
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. CoRR (2020)
Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas
GPU-accelerated discontinuous Galerkin methods on polytopic meshes. CoRR (2020)
Andrea Cangiani, Emmanuil H. Georgoulis, Younis A. Sabawi
Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems. J. Comput. Appl. Math. 367 (2020)
Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Dimitra Plaka
A Posteriori Error Estimates for the Allen-Cahn Problem. SIAM J. Numer. Anal. 58 (5) (2020)
Christian Kreuzer, Emmanuil H. Georgoulis
Convergence of adaptive discontinuous Galerkin methods (corrected version of [Math. Comp 87 (2018), no 314, 2611-2640]). CoRR (2019)
Andrea Cangiani, Emmanuil H. Georgoulis, Stefano Giani, Stephen Metcalfe
hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems. Comput. Math. Appl. 78 (9) (2019)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
hp-Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. CoRR (2019)
Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Dimitra Plaka
A posteriori error estimates for the Allen-Cahn problem. CoRR (2019)
Zhaonan Dong, Emmanuil H. Georgoulis, Jeremy Levesley, Fuat Usta
A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. Comput. Math. Appl. 76 (8) (2018)
Christian Kreuzer, Emmanuil H. Georgoulis
Convergence of adaptive discontinuous Galerkin methods. Math. Comput. 87 (314) (2018)
Andrea Cangiani, Emmanuil H. Georgoulis, Younis A. Sabawi
Adaptive discontinuous Galerkin methods for elliptic interface problems. Math. Comput. 87 (314) (2018)
Lehel Banjai, Emmanuil H. Georgoulis, Oluwaseun Lijoka
A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation. SIAM J. Numer. Anal. 55 (1) (2017)
Andrea Cangiani, Emmanuil H. Georgoulis, Tristan Pryer, Oliver J. Sutton
A posteriori error estimates for the virtual element method. Numerische Mathematik 137 (4) (2017)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes. SIAM J. Sci. Comput. 39 (4) (2017)
Emmanuil H. Georgoulis, Omar Lakkis, Charalambos G. Makridakis, Juha M. Virtanen
A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems. SIAM J. Numer. Anal. 54 (1) (2016)
Andrea Cangiani, Emmanuil H. Georgoulis, Irene Kyza, Stephen Metcalfe
Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems. SIAM J. Sci. Comput. 38 (6) (2016)
Emmanuil H. Georgoulis, Juha M. Virtanen
Adaptive discontinuous Galerkin approximations to fourth order parabolic problems. Math. Comput. 84 (295) (2015)
Andrea Cangiani, Emmanuil H. Georgoulis, Max Jensen
Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes. SIAM J. Numer. Anal. 51 (5) (2013)
Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis, Max Jensen
On the Stability of Continuous-Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems. J. Sci. Comput. 57 (2) (2013)
Mario Arioli, Emmanuil H. Georgoulis, Daniel Loghin
Stopping Criteria for Adaptive Finite Element Solvers. SIAM J. Sci. Comput. 35 (3) (2013)
Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist, Daniel Peterseim
Convergence of a Discontinuous Galerkin Multiscale Method. SIAM J. Numer. Anal. 51 (6) (2013)
Emmanuil H. Georgoulis, Jeremy Levesley, Fazli Subhan
Multilevel Sparse Kernel-Based Interpolation. SIAM J. Sci. Comput. 35 (2) (2013)
Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist
An Adaptive Discontinuous Galerkin Multiscale Method for Elliptic Problems. Multiscale Model. Simul. 11 (3) (2013)
Alan Demlow, Emmanuil H. Georgoulis
Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. SIAM J. Numer. Anal. 50 (5) (2012)
Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis, Max Jensen
On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods CoRR (2012)
Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis, Max Jensen
Implementation of the Continuous-Discontinuous Galerkin Finite Element Method CoRR (2012)
Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virtanen
A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems. SIAM J. Numer. Anal. 49 (2) (2011)
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Iske
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction. SIAM J. Sci. Comput. 32 (6) (2010)
Emmanuil H. Georgoulis, Edward J. C. Hall, Jens Markus Melenk
-Version Interior Penalty Discontinuous Galerkin Method. J. Sci. Comput. 42 (1) (2010)
Emmanuil H. Georgoulis
-finite element spaces and applications. Math. Comput. 77 (261) (2008)
Emmanuil H. Georgoulis, Daniel Loghin
Norm Preconditioners for Discontinuous Galerkin hp-Finite Element Methods. SIAM J. Sci. Comput. 30 (5) (2008)
Emmanuil H. Georgoulis, Edward J. C. Hall, Paul Houston
Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes. SIAM J. Sci. Comput. 30 (1) (2007)
R. A. Brownlee, Emmanuil H. Georgoulis, Jeremy Levesley
Extending the Range of Error Estimates for Radial Approximation in Euclidean Space and on Spheres. SIAM J. Math. Anal. 39 (2) (2007)
Emmanuil H. Georgoulis, Edward J. C. Hall, Paul Houston
Discontinuous Galerkin methods on hp-anisotropic meshes I: a priori error analysis. Int. J. Comput. Sci. Math. 1 (2/3/4) (2007)