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Emmanuil H. Georgoulis
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2020 – today
- 2024
- [j37]Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Vassilis D. Papadopoulos:
Mesh-Dependent L2-Like Norm a Posteriori Error Estimates for Elliptic Problems with Non-essential Boundary Conditions. J. Sci. Comput. 100(1): 8 (2024) - [i14]Emmanuil H. Georgoulis, Antonis Papapantoleon, Costas Smaragdakis:
A deep implicit-explicit minimizing movement method for option pricing in jump-diffusion models. CoRR abs/2401.06740 (2024) - [i13]Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert:
A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation. CoRR abs/2401.12921 (2024) - [i12]Raphael E. Fernandes, Emmanuil H. Georgoulis, Alberto Paganini:
Level-set shape optimization via polytopic discontinuous Galerkin methods. CoRR abs/2408.13206 (2024) - 2023
- [j36]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: 106893 (2023) - [j35]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): 2352-2380 (2023) - [i11]Gabriel R. Barrenechea, Emmanuil H. Georgoulis, Tristan Pryer, Andreas Veeser:
A Nodally Bound-Preserving Finite Element Method. CoRR abs/2304.01067 (2023) - 2022
- [j34]Zhaonan Dong, Emmanuil H. Georgoulis:
Robust Interior Penalty Discontinuous Galerkin Methods. J. Sci. Comput. 92(2): 57 (2022) - [j33]Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. Math. Comput. 91(333): 1-35 (2022) - [i10]Emmanuil H. Georgoulis, Michail Loulakis, Asterios Tsiourvas:
Discrete Gradient Flow Approximations of High Dimensional Evolution Partial Differential Equations via Deep Neural Networks. CoRR abs/2206.00290 (2022) - [i9]Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. CoRR abs/2208.08685 (2022) - 2021
- [j32]Christian Kreuzer, Emmanuil H. Georgoulis:
Corrigendum to "Convergence of adaptive, discontinuous Galerkin methods". Math. Comput. 90(328): 637-640 (2021) - [j31]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): 363-386 (2021) - [j30]Emmanuil H. Georgoulis:
Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation. SIAM J. Numer. Anal. 59(1): 173-194 (2021) - [j29]Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas:
GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes. SIAM J. Sci. Comput. 43(4): C312-C334 (2021) - [i8]Zhaonan Dong, Emmanuil H. Georgoulis:
Robust interior penalty discontinuous Galerkin methods. CoRR abs/2108.02642 (2021) - 2020
- [j28]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) - [j27]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): 26 (2020) - [j26]Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Dimitra Plaka:
A Posteriori Error Estimates for the Allen-Cahn Problem. SIAM J. Numer. Anal. 58(5): 2662-2683 (2020) - [i7]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 abs/2005.05661 (2020) - [i6]Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas:
GPU-accelerated discontinuous Galerkin methods on polytopic meshes. CoRR abs/2007.04881 (2020)
2010 – 2019
- 2019
- [j25]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): 3090-3104 (2019) - [i5]Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis:
hp-Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. CoRR abs/1906.01715 (2019) - [i4]Konstantinos Chrysafinos, Emmanuil H. Georgoulis, Dimitra Plaka:
A posteriori error estimates for the Allen-Cahn problem. CoRR abs/1907.12264 (2019) - [i3]Christian Kreuzer, Emmanuil H. Georgoulis:
Convergence of adaptive discontinuous Galerkin methods (corrected version of [Math. Comp 87 (2018), no 314, 2611-2640]). CoRR abs/1909.12665 (2019) - 2018
- [j24]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): 1950-1965 (2018) - [j23]Christian Kreuzer, Emmanuil H. Georgoulis:
Convergence of adaptive discontinuous Galerkin methods. Math. Comput. 87(314): 2611-2640 (2018) - [j22]Andrea Cangiani, Emmanuil H. Georgoulis, Younis A. Sabawi:
Adaptive discontinuous Galerkin methods for elliptic interface problems. Math. Comput. 87(314): 2675-2707 (2018) - 2017
- [j21]Andrea Cangiani, Emmanuil H. Georgoulis, Tristan Pryer, Oliver J. Sutton:
A posteriori error estimates for the virtual element method. Numerische Mathematik 137(4): 857-893 (2017) - [j20]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): 63-86 (2017) - [j19]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) - 2016
- [j18]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): 120-136 (2016) - [j17]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) - 2015
- [j16]Emmanuil H. Georgoulis, Juha M. Virtanen:
Adaptive discontinuous Galerkin approximations to fourth order parabolic problems. Math. Comput. 84(295): 2163-2190 (2015) - 2013
- [j15]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): 313-330 (2013) - [j14]Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist:
An Adaptive Discontinuous Galerkin Multiscale Method for Elliptic Problems. Multiscale Model. Simul. 11(3): 747-765 (2013) - [j13]Andrea Cangiani, Emmanuil H. Georgoulis, Max Jensen:
Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes. SIAM J. Numer. Anal. 51(5): 2911-2934 (2013) - [j12]Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist, Daniel Peterseim:
Convergence of a Discontinuous Galerkin Multiscale Method. SIAM J. Numer. Anal. 51(6): 3351-3372 (2013) - [j11]Emmanuil H. Georgoulis, Jeremy Levesley, Fazli Subhan:
Multilevel Sparse Kernel-Based Interpolation. SIAM J. Sci. Comput. 35(2) (2013) - [j10]Mario Arioli, Emmanuil H. Georgoulis, Daniel Loghin:
Stopping Criteria for Adaptive Finite Element Solvers. SIAM J. Sci. Comput. 35(3) (2013) - 2012
- [j9]Alan Demlow, Emmanuil H. Georgoulis:
Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. SIAM J. Numer. Anal. 50(5): 2159-2181 (2012) - [i2]Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis, Max Jensen:
Implementation of the Continuous-Discontinuous Galerkin Finite Element Method. CoRR abs/1201.2878 (2012) - [i1]Andrea Cangiani, John Chapman, Emmanuil H. Georgoulis, Max Jensen:
On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods. CoRR abs/1205.5672 (2012) - 2011
- [j8]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): 427-458 (2011) - 2010
- [j7]Emmanuil H. Georgoulis, Edward J. C. Hall, Jens Markus Melenk:
On the Suboptimality of the p-Version Interior Penalty Discontinuous Galerkin Method. J. Sci. Comput. 42(1): 54-67 (2010) - [j6]Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Iske:
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction. SIAM J. Sci. Comput. 32(6): 3251-3277 (2010)
2000 – 2009
- 2008
- [j5]Emmanuil H. Georgoulis:
Inverse-type estimates on hp-finite element spaces and applications. Math. Comput. 77(261): 201-219 (2008) - [j4]Emmanuil H. Georgoulis, Daniel Loghin:
Norm Preconditioners for Discontinuous Galerkin hp-Finite Element Methods. SIAM J. Sci. Comput. 30(5): 2447-2465 (2008) - 2007
- [j3]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): 221-244 (2007) - [j2]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): 554-564 (2007) - [j1]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): 246-271 (2007)
Coauthor Index
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