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Journal Article
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
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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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
Book Chapter
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.
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.
Book
Cangiani A, Dong Z, Georgoulis EH, Houston P. $hp$-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Springer, Cham; 2017 p. viii+131.

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