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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, Natalini R. A spatial model of cellular molecular trafficking including active transport along microtubules. J. Theoret. Biol. [Internet]. 2010 ;267:614–625. Available from: https://doi.org/10.1016/j.jtbi.2010.08.017
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, Süli E. The residual-free-bubble finite element method on anisotropic partitions. SIAM J. Numer. Anal. [Internet]. 2007 ;45:1654–1678. Available from: https://doi.org/10.1137/060658011
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, Gyrya V, Manzini G. The nonconforming virtual element method for the Stokes equations. SIAM J. Numer. Anal. [Internet]. 2016 ;54:3411–3435. Available from: https://doi.org/10.1137/15M1049531
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, Manzini G, Russo A, Sukumar N. Hourglass stabilization and the virtual element method. Internat. J. Numer. Methods Engrg. [Internet]. 2015 ;102:404–436. Available from: https://doi.org/10.1002/nme.4854
Cangiani A, Manzini G, Russo A, Sukumar N. Hourglass stabilization and the virtual element method. International Journal for Numerical Methods in Engineering [Internet]. 2015 ;102:404-436. Available from: https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.4854
Cangiani A, Manzini G. Flux reconstruction and solution post-processing in mimetic finite difference methods. Comput. Methods Appl. Mech. Engrg. [Internet]. 2008 ;197:933–945. Available from: https://doi.org/10.1016/j.cma.2007.09.019
Cangiani A, Süli E. Enhanced RFB method. Numer. Math. [Internet]. 2005 ;101:273–308. Available from: https://doi.org/10.1007/s00211-005-0620-7
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, Gardini F, Manzini G. Convergence of the mimetic finite difference method for eigenvalue problems in mixed form. Comput. Methods Appl. Mech. Engrg. [Internet]. 2011 ;200:1150–1160. Available from: https://doi.org/10.1016/j.cma.2010.06.011
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, Manzini G, Russo A. Convergence analysis of the mimetic finite difference method for elliptic problems. SIAM J. Numer. Anal. [Internet]. 2009 ;47:2612–2637. Available from: https://doi.org/10.1137/080717560
Cangiani A, Manzini G, Sutton OJ. Conforming and nonconforming virtual element methods for elliptic problems. IMA J. Numer. Anal. [Internet]. 2017 ;37:1317–1354. Available from: https://doi.org/10.1093/imanum/drw036
L. da Veiga B, Brezzi F, Cangiani A, Manzini G, Marini LD, Russo A. Basic principles of virtual element methods. Math. Models Methods Appl. Sci. [Internet]. 2013 ;23:199–214. Available from: https://doi.org/10.1142/S0218202512500492
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

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