Books

1. E. H. Georgoulis, A. Iske, and J. Levesley (eds.)
   Approximation Algorithms for Complex Systems  Springer Proceedings in Mathematics, Vol. 3, Springer-Verlag, Berlin, 2011, ISBN 978-3-642-16875-8.

In peer-reviewed journals

2. E. H. Georgoulis and E. Süli.
   Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method. IMA Journal of Numerical Analysis 25(1) pp. 205-220 (2005).
3. E. H. Georgoulis.
   hp-version interior penalty discontinuous Galerkin finite element methods on anisotropic meshes. International Journal of Numerical Analysis and Modeling 3(1) pp. 52-79 (2006).
   
4. E. H. Georgoulis and A. Lasis.
   A note on the design of hp-version interior penalty discontinuous Galerkin finite element methods for degenerate problems. IMA Journal of Numerical Analysis 26(2) pp.381-390 (2006).
5. R. Brownlee, E. H. Georgoulis and J. Levesley.
   Extending the range of error estimates for radial approximation in Euclidean space and on spheres. SIAM Journal on Mathematical Analysis 39(2) pp. 554-564 (2007).
6. E. H. Georgoulis, E. Hall and P. Houston.
   Discontinuous Galerkin methods for advection-diffusion-reaction problems on anisotropically refined meshes. SIAM Journal on Scientific Computing 30(1) pp. 246-271 (2007).
7. E. H. Georgoulis, E. Hall and P. Houston.
   Discontinuous Galerkin methods on hp-anisotropic meshes I: a priori error analysis. International Journal of Computing Science and Mathematics 1(2-3) pp. 221-244 (2007).
8. E. H. Georgoulis.
   Inverse-type estimates on hp-finite element spaces and applications. Mathematics of Computation 77 pp. 201-219 (2008).
9. E. H. Georgoulis and D. Loghin.
   Norm preconditioners for discontinuous Galerkin hp-finite element methods. SIAM Journal on Scientific Computing 30(5) pp. 2447-2465 (2008).
10. E. H. Georgoulis, E. Hall and P. Houston.
    Discontinuous Galerkin methods on hp-anisotropic meshes II: a posteriori error analysis and adaptivity. Applied Numerical Mathematics 59(9) pp. 2179-2194 (2009).
11. E. H. Georgoulis and P. Houston.
    Discontinuous Galerkin methods for the biharmonic problem.  IMA Journal of Numerical Analysis 29(3) pp. 573-594 (2009).
    
12.  E. H. Georgoulis, E. Hall and J. M. Melenk.
    On the suboptimality of the p-version interior penalty discontinuous Galerkin method. Journal of Scientific Computing 42(1) pp. 54-67 (2010).
13. T. Aboiyar, E. H. Georgoulis, and A. Iske.
    Adaptive ADER methods using kernel-based polyharmonic spline WENO reconstruction. SIAM Journal on Scientific Computing 32(6) pp. 3251-3277 (2010).
14. E. H. Georgoulis, P. Houston and J.M. Virtanen.
    An a posteriori error indicator for discontinuous Galerkin approximations of fourth order elliptic problems. IMA Journal of Numerical Analysis 31(1) pp. 281-298 (2011).
15. E. H. Georgoulis, O. Lakkis and J.M. Virtanen.
    A posteriori error control for discontinuous Galerkin methods for parabolic problems. SIAM Journal on Numerical Analysis 49(2) pp. 427-458 (2011).
    
16. M. Arioli, E. H. Georgoulis and D. Loghin.
    Convergence of inexact adaptive finite element solvers for elliptic problems. Submitted for publication.
17. E. H. Georgoulis, O. Lakkis and C. Makridakis.
    A posteriori  L^∞(L²)-error bounds in finite element approximation of the wave equation. Submitted for publication.
18. A. Demlow and E. H. Georgoulis.
    Pointwise a posteriori error control for discontinuous Galerkin methods for elliptic problems. Submitted for publication.
19. E. H. Georgoulis, J. Levesley and F. Subhan.
    Multilevel sparse kernel-based interpolation. Submitted for publication.
20. D. Elfverson, E. H. Georgoulis and A. Målqvist.
    An adaptive discontinuous Galerkin multiscale method for elliptic problems. Submitted for publication.

In conference proceedings

21. E. H. Georgoulis and D. Loghin.
    Krylov-Subspace preconditioners for discontinuous Galerkin finite element methods. ECCOMAS CFD 2006 Proceedings.
22. A. Cangiani, E. H. Georgoulis and M. Jensen.
    Continuous and discontinuous finite element methods for convection-diffusion problems: a comparison. In G. Lube and G. Rapin, editors, Proceedings of the International Conference on Boundary and Interior Layers (BAIL) - Computational and Asymptotic Methods, 2006.
23. P. Houston, E. H. Georgoulis, and E. Hall.
    Adaptivity and a posteriori error estimation For DG methods on anisotropic meshes. In G. Lube and G. Rapin, editors, Proceedings of the International Conference on Boundary and Interior Layers (BAIL) - Computational and Asymptotic Methods, 2006.
24. T. Aboiyar, E. H. Georgoulis, and A. Iske.
    High order WENO finite volume schemes using polyharmonic spline reconstruction. Proceedings of the International Conference on Numerical Analysis and Approximation Theory 2006, Cluj-Napoca, Romania.
25. I. Spisso, A. Rona, and E. H. Georgoulis.
    Towards a monotonicity-preserving inviscid wall boundary condition for aeroacoustics. Proceedings of the 15th AIAA/CEAS Aeroacoustics Conference, Miami, FL, USA, 2009.
26. E. H. Georgoulis, and O. Lakkis.
    A posteriori error bounds for discontinuous Galerkin methods for quasilinear parabolic problems. In G. Kreiss, P.Lötstedt, A. Målqvist, M. Neytcheva, (eds.), ENUMATH '09 Proceedings, Uppsala, Springer, 2010.
27. E. H. Georgoulis.
    Discontinuous Galerkin methods for linear problems; an introduction. In E. H. Georgoulis, A. Iske, and J. Levesley (eds.), Approximation Algorithms for Complex Systems, Springer Proceedings in Mathematics, Vol. 3, Springer-Verlag, Berlin, 2011, ISBN 978-3-642-16875-8.
28. A. Cangiani, E. H. Georgoulis and M. Jensen.
    Discontinuous Galerkin methods for convection-diffusion problems modelling mass transfer through semipermeable membranes. Proceedings of the Congress on Numerical Methods in Engineering, Coimbra, 2011.

Other publications cited elsewhere

29. E. H. Georgoulis and E. Süli.
    hp--DGFEM on shape-irregular meshes: reaction-diffusion problems. Oxford University Computing Laboratory Technical Report 01/09 (2001).
30. E. H. Georgoulis.
    Discontinuous Galerkin methods on shape-regular and anisotropic meshes. D.Phil. Thesis, Computing Laboratory, University of Oxford (2003).