Edit Profile (opens in new tab) Antonietti, Paola Francesca Compute Distance To: Compute Author ID: antonietti.paola-francesca Published as: Antonietti, Paola F.; Antonietti, P. F.; Antonietti, Paola Francesca; Antonietti, Paola more...less Homepage: http://www1.mate.polimi.it/~antonietti External Links: ORCID · Google Scholar · dblp Documents Indexed: 75 Publications since 2006 2 Contributions as Editor Co-Authors: 81 Co-Authors with 77 Joint Publications 1,704 Co-Co-Authors all top 5 Co-Authors 0 single-authored 35 Verani, Marco 13 Mazzieri, Ilario 10 Houston, Paul 8 Quarteroni, Alfio M. 7 Beirão da Veiga, Lourenço 5 Ayuso, Blanca 4 Bigoni, Nadia 4 Facciolà, Chiara 4 Manzini, Gianmarco 4 Pennesi, Giorgio 4 Sarti, Marco 3 Ayuso de Dios, Blanca 3 Giani, Stefano 3 Scacchi, Simone 2 Berrone, Stefano 2 Bertoluzza, Silvia 2 Brezzi, Franco 2 Ferroni, Alberto 2 Formaggia, Luca 2 Grasselli, Maurizio 2 Heltai, Luca 2 Marini, Luisa Donatella 2 Perugia, Ilaria 2 Rapetti, Francesca 2 Scotti, Anna 2 Stangalino, Simone 2 Süli, Endre E. 2 Weißer, Steffen 2 Zikatanov, Ludmil T. 2 Zonca, Stefano 1 Agosti, Abramo 1 Biscari, Paolo 1 Bonaldi, Francesco 1 Borio, Andrea 1 Borzì, Alfio 1 Botti, Michele 1 Brenner, Susanne Cecelia 1 Bruggi, Matteo 1 Buffa, Annalisa 1 Cangiani, Andrea 1 Canuto, Claudio 1 Ciarletta, Pasquale 1 Collis, Joe 1 Dal Santo, Niccolò 1 D’Auria, Alessandro 1 Davide, Zaliani 1 De Ponti, Jacopo 1 Dedner, Andreas S. 1 Dong, Zhaonan 1 Droniou, Jérôme 1 Eymard, Robert 1 Georgoulis, Emmanuil H. 1 Hu, Xiaozhe 1 Lovadina, Carlo 1 Madhavan, Pravin 1 Manuzzi, E. 1 Marcati, Carlo 1 Mascotto, Lorenzo 1 Melas, Laura 1 Merlet, Benoît 1 Migliorini, Francesco 1 Mora, David 1 Muhr, Markus 1 Nikolić, Vanja 1 Pacciarini, Paolo 1 Paolucci, Roberto 1 Pennacchio, Micol 1 Pierre, Morgan 1 Poltri, Simone Nati 1 Prada, Daniele 1 Pratelli, Aldo 1 Russo, Alessandro 1 Smears, Iain 1 Smerzini, Chiara 1 Stinner, Bjorn 1 Stupazzini, Marco 1 Tavakoli, Alaleh 1 Vergara, Christian 1 Verzott, Nicola 1 Vianello, Maurizio 1 Wohlmuth, Barbara I. all top 5 Serials 10 Journal of Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 5 SIAM Journal on Numerical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computers & Mathematics with Applications 4 Calcolo 4 SIAM Journal on Scientific Computing 3 Journal of Computational Physics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 Computational Methods in Applied Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 SEMA SIMAI Springer Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 AIMS Mathematics 1 Mathematics in Engineering 1 Communications on Applied Mathematics and Computation all top 5 Fields 71 Numerical analysis (65-XX) 33 Partial differential equations (35-XX) 16 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 996 times in 532 Documents Cited by ▼ Year ▼ A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M. 115 2014 A \(C^1\) virtual element method for the Cahn-Hilliard equation with polygonal meshes. Zbl 1336.65160Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M. 97 2016 Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola 55 2016 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090Antonietti, P. F.; Manzini, G.; Verani, M. 51 2018 \(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163Antonietti, Paola F.; Giani, Stefano; Houston, Paul 41 2013 Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080Antonietti, Paola F.; Ayuso, Blanca 35 2007 Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria 35 2006 A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123Antonietti, Paola F.; Houston, Paul 31 2011 Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul 30 2016 Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids. Zbl 1407.65255Antonietti, Paola F.; Facciolà, Chiara; Russo, Alessandro; Verani, Marco 25 2019 Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 22 2012 Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco 22 2017 Multigrid algorithms for \(hp\)-discontinuous Galerkin discretizations of elliptic problems. Zbl 1312.65181Antonietti, Paola F.; Sarti, Marco; Verani, Marco 22 2015 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 21 2013 Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems. Zbl 1146.65081Antonietti, Paola F.; Ayuso, Blanca 19 2008 Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. Zbl 1267.65159Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco 18 2013 High order discontinuous Galerkin methods for elliptic problems on surfaces. Zbl 1314.65146Antonietti, Paola F.; Dedner, Andreas; Madhavan, Pravin; Stangalino, Simone; Stinner, Björn; Verani, Marco 18 2015 On the virtual element method for topology optimization on polygonal meshes: a numerical study. Zbl 1391.74205Antonietti, Paola F.; Bruggi, Matteo; Scacchi, Simone; Verani, Marco 17 2017 A Cahn-Hilliard-type equation with application to tumor growth dynamics. Zbl 1387.35584Agosti, Abramo; Antonietti, Paola Francesca; Ciarletta, Pasquale; Grasselli, Maurizio; Verani, Marco 17 2017 Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174Antonietti, Paola F.; Giani, Stefano; Houston, Paul 17 2014 Mimetic discretizations of elliptic control problems. Zbl 1273.65079Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 16 2013 Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. 15 2014 Two-level Schwarz preconditioners for super penalty discontinuous Galerkin methods. Zbl 1364.65235Antonietti, Paola F.; Ayuso, Blanca 15 2009 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 14 2009 \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. Zbl 1410.65092Antonietti, P. F.; Pennesi, G. 13 2019 A multigrid algorithm for the \(p\)-version of the virtual element method. Zbl 1397.65249Antonietti, Paola F.; Verani, Marco 13 2018 Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio 13 2018 Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem. Zbl 1383.74082Antonietti, Paola F.; Ayuso de Dios, Blanca; Mazzieri, Ilario; Quarteroni, Alfio 12 2016 High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Zbl 1398.74291Antonietti, Paola F.; Marcati, Carlo; Mazzieri, Ilario; Quarteroni, Alfio 12 2016 The conforming virtual element method for polyharmonic problems. Zbl 1452.65320Antonietti, Paola F.; Manzini, G.; Verani, Marco 12 2020 Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng 11 2012 High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes. Zbl 1440.65129Antonietti, P. F.; Mazzieri, I. 10 2018 A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134Antonietti, Paola F.; Houston, Paul; Smears, Iain 10 2016 A discontinuous Galerkin reduced basis element method for elliptic problems. Zbl 1343.65132Antonietti, Paola F.; Pacciarini, Paolo; Quarteroni, Alfio 10 2016 A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics. Zbl 1462.65127Antonietti, Paola F.; Mazzieri, Ilario; Dal Santo, Niccolò; Quarteroni, Alfio 9 2018 Mimetic finite difference approximation of quasilinear elliptic problems. Zbl 1316.65092Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 8 2015 A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems. Zbl 1381.65091Antonietti, Paola F.; Sarti, Marco; Verani, Marco; Zikatanov, Ludmil T. 8 2017 Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring. Zbl 1330.65186Antonietti, P. F.; Ayuso de Dios, B.; Bertoluzza, S.; Pennacchio, M. 7 2015 The virtual element method on anisotropic polygonal discretizations. Zbl 1427.65347Antonietti, Paola F.; Berrone, Stefano; Verani, Marco; Weißer, Steffen 6 2018 An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Zbl 1442.65422Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre 6 2020 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 5 2008 Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow. Zbl 1173.76327Antonietti, Paola F.; Heltai, Luca 5 2007 A high-order discontinuous Galerkin approach to the elasto-acoustic problem. Zbl 1441.74228Antonietti, Paola F.; Bonaldi, Francesco; Mazzieri, Ilario 5 2020 Multigrid algorithms for high order discontinuous Galerkin methods. Zbl 1339.65213Antonietti, Paola F.; Sarti, Marco; Verani, Marco 4 2016 A high-order discontinuous Galerkin method for nonlinear sound waves. Zbl 1440.65128Antonietti, Paola F.; Mazzieri, Ilario; Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 4 2020 A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403Antonietti, Paola F.; Houston, Paul 4 2008 Multigrid shape optimization governed by elliptic PDEs. Zbl 1273.65080Antonietti, Paola F.; Borzì, Alfio; Verani, Marco 4 2013 \(hp\)-version discontinuous Galerkin approximations of the elastodynamics equation. Zbl 1388.74090Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Quarteroni, Alfio 4 2017 High order space-time discretization for elastic wave propagation problems. Zbl 1417.74012Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 4 2014 Mimetic finite difference method for shape optimization problems. Zbl 1320.74111Antonietti, P. F.; Bigoni, Nadia; Verani, Marco 3 2015 Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. Zbl 1427.82027Antonietti, Paola F.; Merlet, Benoît; Pierre, Morgan; Verani, Marco 3 2016 Numerical modeling of seismic waves by discontinuous spectral element methods. Zbl 1453.86013Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 3 2018 Preconditioning techniques for the numerical solution of flow in fractured porous media. Zbl 1456.65139Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna 3 2021 Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani 2 2015 An adaptive MFD method for the obstacle problem. Zbl 06185705Antonietti, P. F.; Beirão da Veiga, L.; Verani, M. 2 2013 The virtual element method for a minimal surface problem. Zbl 1471.65191Antonietti, Paola Francesca; Bertoluzza, Silvia; Prada, Daniele; Verani, Marco 2 2020 High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. Zbl 1470.86002Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco 2 2021 An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. Zbl 1449.65310Antonietti, Paola; Canuto, Claudio; Verani, Marco 1 2019 Finite element approximation of the Sobolev constant. Zbl 1208.65162Antonietti, Paola F.; Pratelli, Aldo 1 2011 Domain decomposition preconditioning for discontinuous Galerkin approximations of convection-diffusion problems. Zbl 1183.65028Antonietti, Paola F.; Süli, Endre 1 2009 Class of preconditioners for discontinuous Galerkin approximations of elliptic problems. Zbl 1140.65361Antonietti, Paola F.; Ayuso, Blanca 1 2008 Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions. Zbl 1376.65126Antonietti, Paola F.; Grasselli, Maurizio; Stangalino, Simone; Verani, Marco 1 2016 Algebraic multigrid schemes for high-order nodal discontinuous Galerkin methods. Zbl 1440.65174Antonietti, Paola F.; Melas, Laura 1 2020 A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Zbl 1473.65227Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian 1 2021 Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. Zbl 1478.65079Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano 1 2022 Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids. Zbl 07511705Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco 1 2020 Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. Zbl 1478.65079Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano 1 2022 Preconditioning techniques for the numerical solution of flow in fractured porous media. Zbl 1456.65139Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna 3 2021 High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. Zbl 1470.86002Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco 2 2021 A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Zbl 1473.65227Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian 1 2021 The conforming virtual element method for polyharmonic problems. Zbl 1452.65320Antonietti, Paola F.; Manzini, G.; Verani, Marco 12 2020 An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Zbl 1442.65422Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre 6 2020 A high-order discontinuous Galerkin approach to the elasto-acoustic problem. Zbl 1441.74228Antonietti, Paola F.; Bonaldi, Francesco; Mazzieri, Ilario 5 2020 A high-order discontinuous Galerkin method for nonlinear sound waves. Zbl 1440.65128Antonietti, Paola F.; Mazzieri, Ilario; Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 4 2020 The virtual element method for a minimal surface problem. Zbl 1471.65191Antonietti, Paola Francesca; Bertoluzza, Silvia; Prada, Daniele; Verani, Marco 2 2020 Algebraic multigrid schemes for high-order nodal discontinuous Galerkin methods. Zbl 1440.65174Antonietti, Paola F.; Melas, Laura 1 2020 Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids. Zbl 07511705Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco 1 2020 Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids. Zbl 1407.65255Antonietti, Paola F.; Facciolà, Chiara; Russo, Alessandro; Verani, Marco 25 2019 \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. Zbl 1410.65092Antonietti, P. F.; Pennesi, G. 13 2019 An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. Zbl 1449.65310Antonietti, Paola; Canuto, Claudio; Verani, Marco 1 2019 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090Antonietti, P. F.; Manzini, G.; Verani, M. 51 2018 A multigrid algorithm for the \(p\)-version of the virtual element method. Zbl 1397.65249Antonietti, Paola F.; Verani, Marco 13 2018 Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio 13 2018 High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes. Zbl 1440.65129Antonietti, P. F.; Mazzieri, I. 10 2018 A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics. Zbl 1462.65127Antonietti, Paola F.; Mazzieri, Ilario; Dal Santo, Niccolò; Quarteroni, Alfio 9 2018 The virtual element method on anisotropic polygonal discretizations. Zbl 1427.65347Antonietti, Paola F.; Berrone, Stefano; Verani, Marco; Weißer, Steffen 6 2018 Numerical modeling of seismic waves by discontinuous spectral element methods. Zbl 1453.86013Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 3 2018 Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco 22 2017 On the virtual element method for topology optimization on polygonal meshes: a numerical study. Zbl 1391.74205Antonietti, Paola F.; Bruggi, Matteo; Scacchi, Simone; Verani, Marco 17 2017 A Cahn-Hilliard-type equation with application to tumor growth dynamics. Zbl 1387.35584Agosti, Abramo; Antonietti, Paola Francesca; Ciarletta, Pasquale; Grasselli, Maurizio; Verani, Marco 17 2017 A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems. Zbl 1381.65091Antonietti, Paola F.; Sarti, Marco; Verani, Marco; Zikatanov, Ludmil T. 8 2017 \(hp\)-version discontinuous Galerkin approximations of the elastodynamics equation. Zbl 1388.74090Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Quarteroni, Alfio 4 2017 A \(C^1\) virtual element method for the Cahn-Hilliard equation with polygonal meshes. Zbl 1336.65160Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M. 97 2016 Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola 55 2016 Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul 30 2016 Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem. Zbl 1383.74082Antonietti, Paola F.; Ayuso de Dios, Blanca; Mazzieri, Ilario; Quarteroni, Alfio 12 2016 High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Zbl 1398.74291Antonietti, Paola F.; Marcati, Carlo; Mazzieri, Ilario; Quarteroni, Alfio 12 2016 A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134Antonietti, Paola F.; Houston, Paul; Smears, Iain 10 2016 A discontinuous Galerkin reduced basis element method for elliptic problems. Zbl 1343.65132Antonietti, Paola F.; Pacciarini, Paolo; Quarteroni, Alfio 10 2016 Multigrid algorithms for high order discontinuous Galerkin methods. Zbl 1339.65213Antonietti, Paola F.; Sarti, Marco; Verani, Marco 4 2016 Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. Zbl 1427.82027Antonietti, Paola F.; Merlet, Benoît; Pierre, Morgan; Verani, Marco 3 2016 Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions. Zbl 1376.65126Antonietti, Paola F.; Grasselli, Maurizio; Stangalino, Simone; Verani, Marco 1 2016 Multigrid algorithms for \(hp\)-discontinuous Galerkin discretizations of elliptic problems. Zbl 1312.65181Antonietti, Paola F.; Sarti, Marco; Verani, Marco 22 2015 High order discontinuous Galerkin methods for elliptic problems on surfaces. Zbl 1314.65146Antonietti, Paola F.; Dedner, Andreas; Madhavan, Pravin; Stangalino, Simone; Stinner, Björn; Verani, Marco 18 2015 Mimetic finite difference approximation of quasilinear elliptic problems. Zbl 1316.65092Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 8 2015 Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring. Zbl 1330.65186Antonietti, P. F.; Ayuso de Dios, B.; Bertoluzza, S.; Pennacchio, M. 7 2015 Mimetic finite difference method for shape optimization problems. Zbl 1320.74111Antonietti, P. F.; Bigoni, Nadia; Verani, Marco 3 2015 Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani 2 2015 A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M. 115 2014 Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174Antonietti, Paola F.; Giani, Stefano; Houston, Paul 17 2014 Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. 15 2014 High order space-time discretization for elastic wave propagation problems. Zbl 1417.74012Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 4 2014 \(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163Antonietti, Paola F.; Giani, Stefano; Houston, Paul 41 2013 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 21 2013 Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. Zbl 1267.65159Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco 18 2013 Mimetic discretizations of elliptic control problems. Zbl 1273.65079Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 16 2013 Multigrid shape optimization governed by elliptic PDEs. Zbl 1273.65080Antonietti, Paola F.; Borzì, Alfio; Verani, Marco 4 2013 An adaptive MFD method for the obstacle problem. Zbl 06185705Antonietti, P. F.; Beirão da Veiga, L.; Verani, M. 2 2013 Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 22 2012 Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng 11 2012 A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123Antonietti, Paola F.; Houston, Paul 31 2011 Finite element approximation of the Sobolev constant. Zbl 1208.65162Antonietti, Paola F.; Pratelli, Aldo 1 2011 Two-level Schwarz preconditioners for super penalty discontinuous Galerkin methods. Zbl 1364.65235Antonietti, Paola F.; Ayuso, Blanca 15 2009 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 14 2009 Domain decomposition preconditioning for discontinuous Galerkin approximations of convection-diffusion problems. Zbl 1183.65028Antonietti, Paola F.; Süli, Endre 1 2009 Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems. Zbl 1146.65081Antonietti, Paola F.; Ayuso, Blanca 19 2008 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 5 2008 A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403Antonietti, Paola F.; Houston, Paul 4 2008 Class of preconditioners for discontinuous Galerkin approximations of elliptic problems. Zbl 1140.65361Antonietti, Paola F.; Ayuso, Blanca 1 2008 Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080Antonietti, Paola F.; Ayuso, Blanca 35 2007 Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow. Zbl 1173.76327Antonietti, Paola F.; Heltai, Luca 5 2007 Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria 35 2006 all cited Publications top 5 cited Publications all top 5 Cited by 693 Authors 47 Antonietti, Paola Francesca 34 Beirão da Veiga, Lourenço 25 Verani, Marco 20 Manzini, Gianmarco 17 Mora, David 16 Russo, Alessandro 15 Vacca, Giuseppe 14 Dassi, Franco 13 Di Pietro, Daniele Antonio 13 Mascotto, Lorenzo 12 Brezzi, Franco 12 Houston, Paul 11 Berrone, Stefano 11 Droniou, Jérôme 11 Fumagalli, Alessio 11 Marini, Luisa Donatella 11 Mazzieri, Ilario 10 Brenner, Susanne Cecelia 10 Giani, Stefano 10 Zhao, Jikun 9 Bertoluzza, Silvia 9 Rivera, Gonzalo 9 Scotti, Anna 8 Chen, Shaochun 8 Masson, Roland 8 Scialò, Stefano 8 Sequeira, Filánder A. 8 Zhang, Bei 7 Borio, Andrea 7 Feng, Minfu 7 Gatica, Gabriel N. 7 Perugia, Ilaria 7 Prada, Daniele 7 Quarteroni, Alfio M. 7 Velásquez, Iván G. 6 Adak, Dibyendu 6 Artioli, Edoardo 6 Botti, Lorenzo 6 Cangiani, Andrea 6 Formaggia, Luca 6 Georgoulis, Emmanuil H. 6 He, Yinnian 6 Lepe, Felipe 6 Lovadina, Carlo 6 Pennacchio, Micol 6 Scacchi, Simone 6 Vicini, Fabio 5 Bonaldi, Francesco 5 Chen, Zhangxin 5 Chung, Tsz Shun Eric 5 Huang, Jianguo 5 Larson, Mats G. 5 Li, Ruo 5 Mei, Liquan 5 Natarajan, Sundararajan 5 Signori, Andrea 4 Ayuso de Dios, Blanca 4 Brenner, Konstantin 4 Chen, Long 4 Chi, Heng 4 Dong, Zhaonan 4 Dryja, Maksymilian 4 Ern, Alexandre 4 Facciolà, Chiara 4 Feng, Fang 4 Han, Weimin 4 Huang, Xuehai 4 Kumar, Sarvesh 4 Lipnikov, Konstantin N. 4 Meng, Jian 4 Natarajan, E. Palamadai 4 Ovall, Jeffrey S. 4 Paulino, Glaucio H. 4 Pennesi, Giorgio 4 Pichler, Alexander 4 Rivière, Beatrice M. 4 Rodríguez, Rodolfo 4 Sarkis, Marcus V. 4 Sarti, Marco 4 Vohralík, Martin 4 Weißer, Steffen 4 Yang, Fanyi 4 Zhang, Baiju 4 Zikatanov, Ludmil T. 3 Barker, Andrew T. 3 Benedetto, Matías Fernando 3 Bigoni, Nadia 3 Budiša, Ana 3 Burman, Erik 3 Cáceres, Ernesto 3 Chave, Florent 3 Chernov, Alexey 3 Colombo, Alessandro G. 3 Crivellini, Andrea 3 D’Auria, Alessandro 3 Dehghan Takht Fooladi, Mehdi 3 Deng, Quanling 3 Dumbser, Michael 3 Engström, Christian 3 Engwer, Christian ...and 593 more Authors all top 5 Cited in 80 Serials 51 Journal of Scientific Computing 43 Journal of Computational Physics 42 Computer Methods in Applied Mechanics and Engineering 41 Computers & Mathematics with Applications 30 M\(^3\)AS. 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Matematica e Applicazioni 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. 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