MENU

You are here

Publications

Export 20 results:
Filters: First Letter Of Last Name is G and Author is E.H. Georgoulis  [Clear All Filters]
Book Chapter
Cangiani A, Chapman J, Georgoulis EH, Jensen M. Implementation of the continuous-discontinuous Galerkin finite element method. In: Numerical mathematics and advanced applications 2011. Numerical mathematics and advanced applications 2011. Springer, Heidelberg; 2013. pp. 315–322.
Antonietti PF, Cangiani A, Collis J, Dong Z, Georgoulis EH, Giani S, Houston P. Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. In: Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Vol. 114. Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Springer, [Cham]; 2016. pp. 279–308.
Journal Article
Cangiani A, Georgoulis EH, Sabawi YA. Adaptive discontinuous Galerkin methods for elliptic interface problems. Math. Comp. [Internet]. 2018 ;87:2675–2707. Available from: https://doi.org/10.1090/mcom/3322
Cangiani A, Georgoulis EH, Metcalfe S. Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems. IMA J. Numer. Anal. [Internet]. 2014 ;34:1578–1597. Available from: https://doi.org/10.1093/imanum/drt052
Cangiani A, Georgoulis EH, Sutton OJ. Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. Mathematical Models and Methods in Applied Sciences [Internet]. 2021 ;31:711-751. Available from: https://doi.org/10.1142/S0218202521500172
Cangiani A, Georgoulis EH, Kyza I, Metcalfe S. Adaptivity and blow-up detection for nonlinear evolution problems. SIAM J. Sci. Comput. [Internet]. 2016 ;38:A3833–A3856. Available from: https://doi.org/10.1137/16M106073X
Cangiani A, Georgoulis EH, Sabawi YA. Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems. J. Comput. Appl. Math. [Internet]. 2020 ;367:112397, 15. Available from: https://doi.org/10.1016/j.cam.2019.112397
Cangiani A, Georgoulis EH, Jensen M. Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes. Appl. Numer. Math. [Internet]. 2016 ;104:3–14. Available from: https://doi.org/10.1016/j.apnum.2014.06.007
Cangiani A, Georgoulis EH, Jensen M. Discontinuous Galerkin methods for mass transfer through semipermeable membranes. SIAM J. Numer. Anal. [Internet]. 2013 ;51:2911–2934. Available from: https://doi.org/10.1137/120890429
Cangiani A, Georgoulis EH, Giani S, Metcalfe S. hp-adaptive discontinuous Galerkin methods for non-stationary convection–diffusion problems. Computers & Mathematics with Applications [Internet]. 2019 ;78:3090-3104. Available from: https://www.sciencedirect.com/science/article/pii/S0898122119302007
Cangiani A, Dong Z, Georgoulis EH, Houston P. $hp$-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes. ESAIM Math. Model. Numer. Anal. [Internet]. 2016 ;50:699–725. Available from: https://doi.org/10.1051/m2an/2015059
Cangiani A, Georgoulis EH, Houston P. $hp$-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Math. Models Methods Appl. Sci. [Internet]. 2014 ;24:2009–2041. Available from: https://doi.org/10.1142/S0218202514500146
Cangiani A, Dong Z, Georgoulis EH. $hp$-version space-time discontinuous Galerkin methods for parabolic problems on prismatic meshes. SIAM J. Sci. Comput. [Internet]. 2017 ;39:A1251–A1279. Available from: https://doi.org/10.1137/16M1073285
Cangiani A, Georgoulis EH, Sabawi M. \it A posteriori error analysis for implicit-explicit $hp$-discontinuous Galerkin timestepping methods for semilinear parabolic problems. J. Sci. Comput. [Internet]. 2020 ;82:Paper No. 26, 24. Available from: https://doi.org/10.1007/s10915-020-01130-2
Cangiani A, Chapman J, Georgoulis EH, Jensen M. On local super-penalization of interior penalty discontinuous Galerkin methods. Int. J. Numer. Anal. Model. 2014 ;11:478–495.
Cangiani A, Georgoulis EH, Pryer T, Sutton OJ. A posteriori error estimates for the virtual element method. Numer. Math. [Internet]. 2017 ;137:857–893. Available from: https://doi.org/10.1007/s00211-017-0891-9
Cangiani A, Georgoulis EH, A. Morozov Y, Sutton OJ. Revealing new dynamical patterns in a reaction&\#x2013;diffusion model with cyclic competition via a novel computational framework. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences [Internet]. 2018 ;474:20170608. Available from: https://royalsocietypublishing.org/doi/abs/10.1098/rspa.2017.0608
Cangiani A, Chapman J, Georgoulis EH, Jensen M. On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems. J. Sci. Comput. [Internet]. 2013 ;57:313–330. Available from: https://doi.org/10.1007/s10915-013-9707-y
Cangiani A, Chatzipantelidis P, Diwan G, Georgoulis EH. Virtual element method for quasilinear elliptic problems. IMA Journal of Numerical Analysis [Internet]. 2019 ;40:2450-2472. Available from: https://doi.org/10.1093/imanum/drz035

Sign in