Research output per year
Research output per year
Personal profile
Research interests
· Numerical Analysis; in particular, computational methods for partial differential equations arising in solids, fluids, biology and finance: 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, non-linear approximation.
Roles & Responsibilities
Service:
- SIAM Journal on Numerical Analysis, Associate Editor (2018 – pres.)
- One World Numerical Analysis Seminar Series, Organiser (2020 – pres.)
- European Finite Element Fair, Member of the Organising Committee (2022 – pres.)
- Research Excellence Framework (REF 2021), UKRI , Panel Member for the Mathematical Sciences (2020 – 22)
Roles & Responsibilities
Supervision:
Postdocs. Zhaonan (Peter) Dong (Leicester, 2016 – 2018) — Nikolaos Rekatsinas (FORTH, 2020) — Efthymios Karatzas (FORTH, 2021 – 2022) — Ben Ashby (Heriot-Watt, 2022 – pres.) — Philip Herbert (Heriot-Watt, 2022 – pres.)
PhD students. Completed: Edward Hall (Leicester, 2007) — Terhemen Aboiyar (Leicester, 2008) — Juha Virtanen (Leicester, 2010) — Fazli Subhan (Leicester, 2011) — Stephen Metcalfe (Leicester, 2015) — Zhaonan (Peter) Dong (Leicester, 2017) — Younis Sabawi (Leicester, 2017) — Samuel Cox (Leicester, 2017) — Oliver Sutton (Leicester, 2017) — Mohammad Sabawi (Leicester, 2018) — Luke Jolley (Leicester, 2019) — Dimitra Plaka (NTUA, 2022)
Current: Thomas (Makis) Kappas (Leicester) — Vasilis Papadopoulos (NTUA) — Kate McGarry (Leicester) — Charalambos Korosidis (NTUA) — Raphael Fernandes (Leicester) — Panagiotis Paraschis (NTUA).
External positions
Professor, National Technical University of Athens
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Research output
- 5 Article
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Mesh-Dependent L2-Like Norm a Posteriori Error Estimates for Elliptic Problems with Non-essential Boundary Conditions
Chrysafinos, K., Georgoulis, E. H. & Papadopoulos, V. D., Jul 2024, In: Journal of Scientific Computing. 100, 1, 8.Research output: Contribution to journal › Article › peer-review
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A nodally bound-preserving finite element method
Barrenechea, G. R., Georgoulis, E. H., Pryer, T. & Veeser, A., 26 Aug 2023, In: IMA Journal of Numerical Analysis. 44, 4, p. 2198-2219 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)3 Downloads (Pure) -
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
Cangiani, A., Dong, Z. & Georgoulis, E. H., Oct 2023, In: SIAM Journal on Numerical Analysis. 61, 5, p. 2352-2380 29 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile46 Downloads (Pure) -
Discrete gradient flow approximations of high dimensional evolution partial differential equations via deep neural networks
Georgoulis, E. H., Loulakis, M. & Tsiourvas, A., Feb 2023, In: Communications in Nonlinear Science and Numerical Simulation. 117, 106893.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)57 Downloads (Pure) -
Lower bounds, elliptic reconstruction and a posteriori error control of parabolic problems
Georgoulis, E. H. & Makridakis, C. G., Nov 2023, In: IMA Journal of Numerical Analysis. 43, 6, p. 3212-3242 31 p.Research output: Contribution to journal › Article › peer-review