Emmanuil H. Georgoulis

According to our database, Emmanuil H. Georgoulis authored at least 43 papers between 2007 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation.

Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert

CoRR, 2024

A deep implicit-explicit minimizing movement method for option pricing in jump-diffusion models.

Emmanuil H. Georgoulis, Antonis Papapantoleon, Costas Smaragdakis

CoRR, 2024

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., October, 2023

A Nodally Bound-Preserving Finite Element Method.

Gabriel R. Barrenechea, Emmanuil H. Georgoulis, Tristan Pryer, Andreas Veeser

CoRR, 2023

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

2022

hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements.

Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis

Math. Comput., 2022

Robust Interior Penalty Discontinuous Galerkin Methods.

Zhaonan Dong, Emmanuil H. Georgoulis

J. Sci. Comput., 2022

2021

GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes.

Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas

SIAM J. Sci. Comput., 2021

Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation.

Emmanuil H. Georgoulis

SIAM J. Numer. Anal., 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

Corrigendum to "Convergence of adaptive, discontinuous Galerkin methods".

Christian Kreuzer, Emmanuil H. Georgoulis

Math. Comput., 2021

2020

A Posteriori Error Estimates for the Allen-Cahn Problem.

Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Dimitra Plaka

SIAM J. Numer. Anal., 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

Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems.

Andrea Cangiani, Emmanuil H. Georgoulis, Younis A. Sabawi

J. Comput. Appl. Math., 2020

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

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

hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems.

Andrea Cangiani, Emmanuil H. Georgoulis, Stefano Giani, Stephen Metcalfe

Comput. Math. Appl., 2019

2018

Convergence of adaptive discontinuous Galerkin methods.

Christian Kreuzer, Emmanuil H. Georgoulis

Math. Comput., 2018

Adaptive discontinuous Galerkin methods for elliptic interface problems.

Andrea Cangiani, Emmanuil H. Georgoulis, Younis A. Sabawi

Math. Comput., 2018

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

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 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

A posteriori error estimates for the virtual element method.

Andrea Cangiani, Emmanuil H. Georgoulis, Tristan Pryer, Oliver J. Sutton

Numerische Mathematik, 2017

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 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

2015

Adaptive discontinuous Galerkin approximations to fourth order parabolic problems.

Emmanuil H. Georgoulis, Juha M. Virtanen

Math. Comput., 2015

2013

Multilevel Sparse Kernel-Based Interpolation.

Emmanuil H. Georgoulis, Jeremy Levesley, Fazli Subhan

SIAM J. Sci. Comput., 2013

Stopping Criteria for Adaptive Finite Element Solvers.

Mario Arioli, Emmanuil H. Georgoulis, Daniel Loghin

SIAM J. Sci. Comput., 2013

Convergence of a Discontinuous Galerkin Multiscale Method.

Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist, Daniel Peterseim

SIAM J. Numer. Anal., 2013

Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes.

Andrea Cangiani, Emmanuil H. Georgoulis, Max Jensen

SIAM J. Numer. Anal., 2013

An Adaptive Discontinuous Galerkin Multiscale Method for Elliptic Problems.

Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist

Multiscale Model. Simul., 2013

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

2012

Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems.

Alan Demlow, Emmanuil H. Georgoulis

SIAM J. Numer. Anal., 2012

On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis, Max Jensen

CoRR, 2012

Implementation of the Continuous-Discontinuous Galerkin Finite Element Method

Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis, Max Jensen

CoRR, 2012

2011

A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems.

Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virtanen

SIAM J. Numer. Anal., 2011

2010

Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction.

Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Iske

SIAM J. Sci. Comput., 2010

On the Suboptimality of the <i>p</i>-Version Interior Penalty Discontinuous Galerkin Method.

Emmanuil H. Georgoulis, Edward J. C. Hall, Jens Markus Melenk

J. Sci. Comput., 2010

2008

Norm Preconditioners for Discontinuous Galerkin hp-Finite Element Methods.

Emmanuil H. Georgoulis, Daniel Loghin

SIAM J. Sci. Comput., 2008

Inverse-type estimates on <i>hp</i>-finite element spaces and applications.

Emmanuil H. Georgoulis

Math. Comput., 2008

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

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 on hp-anisotropic meshes I: a priori error analysis.

Emmanuil H. Georgoulis, Edward J. C. Hall, Paul Houston

Int. J. Comput. Sci. Math., 2007