Basic principles of virtual element methods L Beirão da Veiga, F Brezzi, A Cangiani, G Manzini, LD Marini, A Russo Mathematical Models and Methods in Applied Sciences 23 (01), 199-214, 2013 | 1513 | 2013 |
hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes A Cangiani, EH Georgoulis, P Houston Mathematical Models and Methods in Applied Sciences 24 (10), 2009-2041, 2014 | 363 | 2014 |
Conforming and nonconforming virtual element methods for elliptic problems A Cangiani, G Manzini, OJ Sutton IMA Journal of Numerical Analysis 37 (3), 1317-1354, 2017 | 269 | 2017 |
A posteriori error estimates for the virtual element method A Cangiani, EH Georgoulis, T Pryer, OJ Sutton Numerische mathematik 137, 857-893, 2017 | 243 | 2017 |
The nonconforming virtual element method for the Stokes equations A Cangiani, V Gyrya, G Manzini SIAM Journal on Numerical Analysis 54 (6), 3411-3435, 2016 | 168 | 2016 |
Hourglass stabilization and the virtual element method A Cangiani, G Manzini, A Russo, N Sukumar International Journal for Numerical Methods in Engineering 102 (3-4), 404-436, 2015 | 112 | 2015 |
Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains PF Antonietti, A Cangiani, J Collis, Z Dong, EH Georgoulis, S Giani, ... Building bridges: connections and challenges in modern approaches to …, 2016 | 103 | 2016 |
Flux reconstruction and solution post-processing in mimetic finite difference methods A Cangiani, G Manzini Computer Methods in Applied Mechanics and Engineering 197 (9-12), 933-945, 2008 | 92 | 2008 |
Convergence analysis of the mimetic finite difference method for elliptic problems A Cangiani, G Manzini, A Russo SIAM Journal on Numerical Analysis 47 (4), 2612-2637, 2009 | 85 | 2009 |
hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes A Cangiani, Z Dong, EH Georgoulis, P Houston ESAIM: Mathematical Modelling and Numerical Analysis 50 (3), 699-725, 2016 | 75 | 2016 |
-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes A Cangiani, Z Dong, EH Georgoulis SIAM Journal on Scientific Computing 39 (4), A1251-A1279, 2017 | 70 | 2017 |
A spatial model of cellular molecular trafficking including active transport along microtubules A Cangiani, R Natalini Journal of theoretical biology 267 (4), 614-625, 2010 | 64 | 2010 |
Adaptive discontinuous Galerkin methods for elliptic interface problems A Cangiani, E Georgoulis, Y Sabawi Mathematics of Computation 87 (314), 2675-2707, 2018 | 63 | 2018 |
Adaptive discontinuous Galerkin methods for nonstationary convection–diffusion problems A Cangiani, EH Georgoulis, S Metcalfe IMA Journal of Numerical Analysis 34 (4), 1578-1597, 2014 | 48 | 2014 |
ℎ𝑝-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements A Cangiani, Z Dong, E Georgoulis Mathematics of Computation 91 (333), 1-35, 2022 | 44 | 2022 |
Convergence of the mimetic finite difference method for eigenvalue problems in mixed form A Cangiani, F Gardini, G Manzini Computer methods in applied mechanics and engineering 200 (9-12), 1150-1160, 2011 | 40 | 2011 |
Discontinuous Galerkin methods for mass transfer through semipermeable membranes A Cangiani, EH Georgoulis, M Jensen SIAM Journal on numerical analysis 51 (5), 2911-2934, 2013 | 37 | 2013 |
Adaptivity and blow-up detection for nonlinear evolution problems A Cangiani, EH Georgoulis, I Kyza, S Metcalfe SIAM Journal on Scientific Computing 38 (6), A3833-A3856, 2016 | 36 | 2016 |
Virtual element method for quasilinear elliptic problems A Cangiani, P Chatzipantelidis, G Diwan, EH Georgoulis IMA Journal of Numerical Analysis 40 (4), 2450-2472, 2020 | 33 | 2020 |
Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems A Cangiani, EH Georgoulis, YA Sabawi Journal of Computational and Applied Mathematics 367, 112397, 2020 | 26 | 2020 |