Edit Profile (opens in new tab) Antonietti, Paola Francesca Co-Author Distance 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: 115 Publications since 2006, including 11 Additional arXiv Preprints 2 Contributions as Editor Software Indexed: 1 Package Co-Authors: 119 Co-Authors with 117 Joint Publications 2,316 Co-Co-Authors all top 5 Co-Authors 0 single-authored 45 Verani, Marco 25 Mazzieri, Ilario 12 Quarteroni, Alfio M. 11 Corti, Mattia 10 Houston, Paul 9 Botti, Michele 8 Beirão da Veiga, Lourenço 7 Manzini, Gianmarco 6 Dede’, Luca 6 Scacchi, Simone 5 Ayuso, Blanca 5 Bonizzoni, Francesca 4 Bigoni, Nadia 4 Bonetti, Stefano 4 Facciolà, Chiara 4 Parolini, Nicola 4 Pennesi, Giorgio 4 Sarti, Marco 3 Ayuso de Dios, Blanca 3 Berrone, Stefano 3 Caldana, Matteo 3 Giani, Stefano 3 Manuzzi, E. 3 Vacca, Giuseppe 2 Artoni, Alberto 2 Bertoluzza, Silvia 2 Bonaldi, Francesco 2 Brezzi, Franco 2 Ferroni, Alberto 2 Formaggia, Luca 2 Fumagalli, Ivan 2 Grasselli, Maurizio 2 Heltai, Luca 2 Marini, Luisa Donatella 2 Martinelli, Gabriele 2 Melas, Laura 2 Migliorini, Francesco 2 Paolucci, Roberto 2 Perugia, Ilaria 2 Rapetti, Francesca 2 Rocchi, Daniele 2 Scotti, Anna 2 Smerzini, Chiara 2 Stangalino, Simone 2 Stupazzini, Marco 2 Süli, Endre E. 2 Vergara, Christian 2 Weißer, Steffen 2 Zikatanov, Ludmil T. 2 Zonca, Stefano 1 Africa, Pasquale Claudio 1 Agosti, Abramo 1 Biscari, Paolo 1 Borio, Andrea 1 Borzì, Alfio 1 Botta, Federica 1 Brenner, Susanne Cecelia 1 Bruggi, Matteo 1 Buffa, Annalisa 1 Busetto, Martina 1 Calafà, Matteo 1 Cancrini, Alessandra 1 Cangiani, Andrea 1 Canuto, Claudio 1 Ciarletta, Pasquale 1 Collis, Joe 1 Corradi, Roberto 1 Dal Santo, Niccolò 1 Dall’Olio, Agnese 1 Dassi, Franco 1 D’Auria, Alessandro 1 Davide, Zaliani 1 De Ponti, Jacopo Maria 1 Dedner, Andreas S. 1 Dong, Zhaonan 1 Droniou, Jérôme 1 Eymard, Robert 1 Farenga, Nicola 1 Ferro, Nicola 1 Georgoulis, Emmanuil H. 1 Hu, Xiaozhe 1 Liverani, Lorenzo 1 Loli, Gabriele 1 Lorenzon, Giacomo 1 Lovadina, Carlo 1 Madhavan, Pravin 1 Marcati, Carlo 1 Mascotto, Lorenzo 1 Matalon, Pierre 1 Merlet, Benoît 1 Micheletti, Stefano 1 Montardini, Monica 1 Mora, David 1 Mourad, Hashem M. 1 Muhr, Markus 1 Nikolić, Vanja 1 Pacciarini, Paolo 1 Pagani, Stefano 1 Pata, Vittorino 1 Pennacchio, Micol ...and 19 more Co-Authors all top 5 Serials 11 Computers & Mathematics with Applications 11 Journal of Scientific Computing 9 Computer Methods in Applied Mechanics and Engineering 7 Journal of Computational Physics 6 SIAM Journal on Numerical Analysis 5 SIAM Journal on Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Calcolo 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 2 Vietnam Journal of Mathematics 2 Computational Methods in Applied Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 2 Mathematics in Engineering 1 Mathematical Methods in the Applied Sciences 1 SIAM Journal on Control and Optimization 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Discrete and Continuous Dynamical Systems. Series S 1 SEMA SIMAI Springer Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Fields 103 Numerical analysis (65-XX) 46 Partial differential equations (35-XX) 25 Mechanics of deformable solids (74-XX) 21 Fluid mechanics (76-XX) 5 Geophysics (86-XX) 4 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-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 93 Publications have been cited 1,745 times in 900 Documents Cited by ▼ Year ▼ A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198 Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M. 193 2014 A \(C^1\) virtual element method for the Cahn-Hilliard equation with polygonal meshes. Zbl 1336.65160 Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M. 163 2016 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090 Antonietti, P. F.; Manzini, G.; Verani, M. 101 2018 Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231 Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola 69 2016 \(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163 Antonietti, Paola F.; Giani, Stefano; Houston, Paul 63 2013 Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410 Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria 50 2006 Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids. Zbl 1407.65255 Antonietti, Paola F.; Facciolà, Chiara; Russo, Alessandro; Verani, Marco 46 2019 Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251 Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul 44 2016 Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080 Antonietti, Paola F.; Ayuso, Blanca 43 2007 Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 38 2012 A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods. Zbl 1230.65123 Antonietti, Paola F.; Houston, Paul 38 2011 The conforming virtual element method for polyharmonic problems. Zbl 1452.65320 Antonietti, Paola F.; Manzini, G.; Verani, Marco 37 2020 A Cahn-Hilliard-type equation with application to tumor growth dynamics. Zbl 1387.35584 Agosti, Abramo; Antonietti, Paola Francesca; Ciarletta, Pasquale; Grasselli, Maurizio; Verani, Marco 34 2017 On the virtual element method for topology optimization on polygonal meshes: a numerical study. Zbl 1391.74205 Antonietti, Paola F.; Bruggi, Matteo; Scacchi, Simone; Verani, Marco 33 2017 Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029 Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco 30 2017 High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes. Zbl 1440.65129 Antonietti, P. F.; Mazzieri, I. 29 2018 A multigrid algorithm for the \(p\)-version of the virtual element method. Zbl 1397.65249 Antonietti, Paola F.; Verani, Marco 28 2018 Multigrid algorithms for \(hp\)-discontinuous Galerkin discretizations of elliptic problems. Zbl 1312.65181 Antonietti, Paola F.; Sarti, Marco; Verani, Marco 26 2015 Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044 Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio 25 2018 High order discontinuous Galerkin methods for elliptic problems on surfaces. Zbl 1314.65146 Antonietti, Paola F.; Dedner, Andreas; Madhavan, Pravin; Stangalino, Simone; Stinner, Björn; Verani, Marco 23 2015 Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. Zbl 1267.65159 Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco 23 2013 Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem. Zbl 1383.74082 Antonietti, Paola F.; Ayuso de Dios, Blanca; Mazzieri, Ilario; Quarteroni, Alfio 22 2016 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136 Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 21 2013 \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. Zbl 1410.65092 Antonietti, P. F.; Pennesi, G. 21 2019 Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems. Zbl 1146.65081 Antonietti, Paola F.; Ayuso, Blanca 20 2008 The arbitrary-order virtual element method for linear elastodynamics models: convergence, stability and dispersion-dissipation analysis. Zbl 07863099 Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Mourad, Hashem M.; Verani, Marco 20 2021 Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174 Antonietti, Paola F.; Giani, Stefano; Houston, Paul 19 2014 A discontinuous Galerkin reduced basis element method for elliptic problems. Zbl 1343.65132 Antonietti, Paola F.; Pacciarini, Paolo; Quarteroni, Alfio 19 2016 Two-level Schwarz preconditioners for super penalty discontinuous Galerkin methods. Zbl 1364.65235 Antonietti, Paola F.; Ayuso, Blanca 18 2009 Mimetic discretizations of elliptic control problems. Zbl 1273.65079 Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 17 2013 A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems. Zbl 1381.65091 Antonietti, Paola F.; Sarti, Marco; Verani, Marco; Zikatanov, Ludmil T. 17 2017 A high-order discontinuous Galerkin approach to the elasto-acoustic problem. Zbl 1441.74228 Antonietti, Paola F.; Bonaldi, Francesco; Mazzieri, Ilario 17 2020 A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics. Zbl 1462.65127 Antonietti, Paola F.; Mazzieri, Ilario; Dal Santo, Niccolò; Quarteroni, Alfio 17 2018 Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316 Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. 17 2014 An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Zbl 1442.65422 Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre 17 2020 The virtual element method and its applications. Zbl 1497.65005 17 2022 A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. Zbl 1478.65110 Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco 17 2021 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110 Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 16 2009 High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. Zbl 1470.86002 Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco 16 2021 High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Zbl 1398.74291 Antonietti, Paola F.; Marcati, Carlo; Mazzieri, Ilario; Quarteroni, Alfio 15 2016 A high-order discontinuous Galerkin method for nonlinear sound waves. Zbl 1440.65128 Antonietti, Paola F.; Mazzieri, Ilario; Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 12 2020 A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134 Antonietti, Paola F.; Houston, Paul; Smears, Iain 12 2016 Numerical modeling of seismic waves by discontinuous spectral element methods. Zbl 1453.86013 Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 11 2018 Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162 Antonietti, Paola F.; Ayuso de Dios, Blanca; Brenner, Susanne C.; Sung, Li-yeng 11 2012 Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods. Zbl 07517731 Antonietti, P. F.; Manuzzi, E. 11 2022 Mimetic finite difference approximation of quasilinear elliptic problems. Zbl 1316.65092 Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 10 2015 Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. Zbl 1478.65079 Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano 10 2022 Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods. Zbl 07592135 Antonietti, P. F.; Dassi, F.; Manuzzi, E. 9 2022 \(hp\)-version discontinuous Galerkin approximations of the elastodynamics equation. Zbl 1388.74090 Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Quarteroni, Alfio 8 2017 A space-time discontinuous Galerkin method for the elastic wave equation. Zbl 07507244 Antonietti, Paola F.; Mazzieri, Ilario; Migliorini, Francesco 8 2020 A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. Zbl 1486.65160 Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario; Poltri, Simone Nati 8 2022 Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow. Zbl 1173.76327 Antonietti, Paola F.; Heltai, Luca 7 2007 Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids. Zbl 1489.76036 Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco 7 2020 A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403 Antonietti, Paola F.; Houston, Paul 6 2008 The virtual element method on anisotropic polygonal discretizations. Zbl 1427.65347 Antonietti, Paola F.; Berrone, Stefano; Verani, Marco; Weißer, Steffen 6 2018 Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring. Zbl 1330.65186 Antonietti, P. F.; Ayuso de Dios, B.; Bertoluzza, S.; Pennacchio, M. 6 2015 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141 Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 6 2008 Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods. Zbl 1517.65106 Corti, Mattia; Antonietti, Paola F.; Dede’, Luca; Quarteroni, Alfio M. 6 2023 The virtual element method for a minimal surface problem. Zbl 1471.65191 Antonietti, Paola Francesca; Bertoluzza, Silvia; Prada, Daniele; Verani, Marco 6 2020 Anisotropic a posteriori error estimate for the virtual element method. Zbl 1501.65101 Antonietti, P. F.; Berrone, S.; Borio, A.; D’Auria, A.; Verani, M.; Weisser, S. 6 2022 Accelerating algebraic multigrid methods via artificial neural networks. Zbl 1514.65188 Antonietti, Paola F.; Caldana, Matteo; Dede’, Luca 6 2023 Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. Zbl 1427.82027 Antonietti, Paola F.; Merlet, Benoît; Pierre, Morgan; Verani, Marco 5 2016 Algebraic multigrid schemes for high-order nodal discontinuous Galerkin methods. Zbl 1440.65174 Antonietti, Paola F.; Melas, Laura 5 2020 Virtual element method for the Navier-Stokes equation coupled with the heat equation. Zbl 1537.65164 Antonietti, Paola F.; Vacca, Giuseppe; Verani, Marco 5 2023 Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. Zbl 1524.65745 Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco 5 2022 A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Zbl 1473.65227 Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian 5 2021 High order space-time discretization for elastic wave propagation problems. Zbl 1417.74012 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 4 2014 Multigrid shape optimization governed by elliptic PDEs. Zbl 1273.65080 Antonietti, Paola F.; Borzì, Alfio; Verani, Marco 4 2013 Multigrid algorithms for high order discontinuous Galerkin methods. Zbl 1339.65213 Antonietti, Paola F.; Sarti, Marco; Verani, Marco 4 2016 Simulation of three-dimensional elastoacoustic wave propagation based on a discontinuous Galerkin spectral element method. Zbl 07843289 Antonietti, Paola F.; Bonaldi, Francesco; Mazzieri, Ilario 4 2020 Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. Zbl 1538.65487 Antonietti, P. F.; Farenga, N.; Manuzzi, E.; Martinelli, G.; Saverio, L. 4 2024 Discontinuous Galerkin approximation of the fully coupled thermo-poroelastic problem. Zbl 1529.65052 Antonietti, Paola F.; Bonetti, Stefano; Botti, Michele 4 2023 An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. Zbl 1449.65310 Antonietti, Paola; Canuto, Claudio; Verani, Marco 3 2019 Mimetic finite difference method for shape optimization problems. Zbl 1320.74111 Antonietti, P. F.; Bigoni, Nadia; Verani, Marco 3 2015 Preconditioning techniques for the numerical solution of flow in fractured porous media. Zbl 1456.65139 Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna 3 2021 On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review. Zbl 1532.65074 Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario 3 2022 A two-level method for mimetic finite difference discretizations of elliptic problems. Zbl 1443.65279 Antonietti, Paola F.; Verani, Marco; Zikatanov, Ludmil 3 2015 Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to \(\alpha\)-synuclein spreading in Parkinson’s disease. Zbl 1539.65116 Corti, Mattia; Bonizzoni, Francesca; Dede’, Luca; Quarteroni, Alfio M.; Antonietti, Paola F. 3 2023 \(C^1 \)-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. Zbl 1497.65160 Antonietti, Paola F.; Scacchi, Simone; Vacca, Giuseppe; Verani, Marco 3 2022 Agglomeration-based geometric multigrid schemes for the virtual element method. Zbl 1512.65290 Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco 3 2023 A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems. Zbl 1538.65337 Antonietti, Paola F.; Mazzieri, Ilario; Migliorini, Francesco 3 2023 Finite element approximation of the Sobolev constant. Zbl 1208.65162 Antonietti, Paola F.; Pratelli, Aldo 2 2011 Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions. Zbl 1376.65126 Antonietti, Paola F.; Grasselli, Maurizio; Stangalino, Simone; Verani, Marco 2 2016 Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260 Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani 2 2015 An adaptive MFD method for the obstacle problem. Zbl 1545.65266 Antonietti, P. F.; Beirão da Veiga, L.; Verani, M. 2 2013 The conforming virtual element method for polyharmonic and elastodynamics problems: a review. Zbl 1503.65215 Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Scacchi, Simone; Verani, Marco 2 2022 Structure preserving polytopal discontinuous Galerkin methods for the numerical modeling of neurodegenerative diseases. Zbl 07880222 Corti, Mattia; Bonizzoni, Francesca; Antonietti, Paola F. 2 2024 Class of preconditioners for discontinuous Galerkin approximations of elliptic problems. Zbl 1140.65361 Antonietti, Paola F.; Ayuso, Blanca 1 2008 Domain decomposition preconditioning for discontinuous Galerkin approximations of convection-diffusion problems. Zbl 1183.65028 Antonietti, Paola F.; Süli, Endre 1 2009 Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. Zbl 07705916 Bonetti, Stefano; Botti, Michele; Mazzieri, Ilario; Antonietti, Paola F. 1 2023 Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. Zbl 07880833 Fumagalli, Ivan; Corti, Mattia; Parolini, Nicola; Antonietti, Paola F. 1 2024 Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas. Zbl 1493.86001 Antonietti, Paola F.; Mazzieri, Ilario; Melas, Laura; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 1 2021 A virtual element method for non-Newtonian pseudoplastic Stokes flows. Zbl 07875020 Antonietti, Paola F.; Beirão da Veiga, Lourenço; Botti, Michele; Vacca, Giuseppe; Verani, Marco 1 2024 Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. Zbl 1538.65487 Antonietti, P. F.; Farenga, N.; Manuzzi, E.; Martinelli, G.; Saverio, L. 4 2024 Structure preserving polytopal discontinuous Galerkin methods for the numerical modeling of neurodegenerative diseases. Zbl 07880222 Corti, Mattia; Bonizzoni, Francesca; Antonietti, Paola F. 2 2024 Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics. Zbl 07880833 Fumagalli, Ivan; Corti, Mattia; Parolini, Nicola; Antonietti, Paola F. 1 2024 A virtual element method for non-Newtonian pseudoplastic Stokes flows. Zbl 07875020 Antonietti, Paola F.; Beirão da Veiga, Lourenço; Botti, Michele; Vacca, Giuseppe; Verani, Marco 1 2024 Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods. Zbl 1517.65106 Corti, Mattia; Antonietti, Paola F.; Dede’, Luca; Quarteroni, Alfio M. 6 2023 Accelerating algebraic multigrid methods via artificial neural networks. Zbl 1514.65188 Antonietti, Paola F.; Caldana, Matteo; Dede’, Luca 6 2023 Virtual element method for the Navier-Stokes equation coupled with the heat equation. Zbl 1537.65164 Antonietti, Paola F.; Vacca, Giuseppe; Verani, Marco 5 2023 Discontinuous Galerkin approximation of the fully coupled thermo-poroelastic problem. Zbl 1529.65052 Antonietti, Paola F.; Bonetti, Stefano; Botti, Michele 4 2023 Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to \(\alpha\)-synuclein spreading in Parkinson’s disease. Zbl 1539.65116 Corti, Mattia; Bonizzoni, Francesca; Dede’, Luca; Quarteroni, Alfio M.; Antonietti, Paola F. 3 2023 Agglomeration-based geometric multigrid schemes for the virtual element method. Zbl 1512.65290 Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco 3 2023 A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems. Zbl 1538.65337 Antonietti, Paola F.; Mazzieri, Ilario; Migliorini, Francesco 3 2023 Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. Zbl 07705916 Bonetti, Stefano; Botti, Michele; Mazzieri, Ilario; Antonietti, Paola F. 1 2023 The virtual element method and its applications. Zbl 1497.65005 17 2022 Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods. Zbl 07517731 Antonietti, P. F.; Manuzzi, E. 11 2022 Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. Zbl 1478.65079 Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano 10 2022 Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods. Zbl 07592135 Antonietti, P. F.; Dassi, F.; Manuzzi, E. 9 2022 A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. Zbl 1486.65160 Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario; Poltri, Simone Nati 8 2022 Anisotropic a posteriori error estimate for the virtual element method. Zbl 1501.65101 Antonietti, P. F.; Berrone, S.; Borio, A.; D’Auria, A.; Verani, M.; Weisser, S. 6 2022 Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. Zbl 1524.65745 Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco 5 2022 On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review. Zbl 1532.65074 Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario 3 2022 \(C^1 \)-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration. Zbl 1497.65160 Antonietti, Paola F.; Scacchi, Simone; Vacca, Giuseppe; Verani, Marco 3 2022 The conforming virtual element method for polyharmonic and elastodynamics problems: a review. Zbl 1503.65215 Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Scacchi, Simone; Verani, Marco 2 2022 The arbitrary-order virtual element method for linear elastodynamics models: convergence, stability and dispersion-dissipation analysis. Zbl 07863099 Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Mourad, Hashem M.; Verani, Marco 20 2021 A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. Zbl 1478.65110 Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco 17 2021 High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. Zbl 1470.86002 Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco 16 2021 A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. Zbl 1473.65227 Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian 5 2021 Preconditioning techniques for the numerical solution of flow in fractured porous media. Zbl 1456.65139 Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna 3 2021 Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas. Zbl 1493.86001 Antonietti, Paola F.; Mazzieri, Ilario; Melas, Laura; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 1 2021 The conforming virtual element method for polyharmonic problems. Zbl 1452.65320 Antonietti, Paola F.; Manzini, G.; Verani, Marco 37 2020 A high-order discontinuous Galerkin approach to the elasto-acoustic problem. Zbl 1441.74228 Antonietti, Paola F.; Bonaldi, Francesco; Mazzieri, Ilario 17 2020 An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids. Zbl 1442.65422 Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio; Süli, Endre 17 2020 A high-order discontinuous Galerkin method for nonlinear sound waves. Zbl 1440.65128 Antonietti, Paola F.; Mazzieri, Ilario; Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 12 2020 A space-time discontinuous Galerkin method for the elastic wave equation. Zbl 07507244 Antonietti, Paola F.; Mazzieri, Ilario; Migliorini, Francesco 8 2020 Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids. Zbl 1489.76036 Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco 7 2020 The virtual element method for a minimal surface problem. Zbl 1471.65191 Antonietti, Paola Francesca; Bertoluzza, Silvia; Prada, Daniele; Verani, Marco 6 2020 Algebraic multigrid schemes for high-order nodal discontinuous Galerkin methods. Zbl 1440.65174 Antonietti, Paola F.; Melas, Laura 5 2020 Simulation of three-dimensional elastoacoustic wave propagation based on a discontinuous Galerkin spectral element method. Zbl 07843289 Antonietti, Paola F.; Bonaldi, Francesco; Mazzieri, Ilario 4 2020 Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids. Zbl 1407.65255 Antonietti, Paola F.; Facciolà, Chiara; Russo, Alessandro; Verani, Marco 46 2019 \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. Zbl 1410.65092 Antonietti, P. F.; Pennesi, G. 21 2019 An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. Zbl 1449.65310 Antonietti, Paola; Canuto, Claudio; Verani, Marco 3 2019 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090 Antonietti, P. F.; Manzini, G.; Verani, M. 101 2018 High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes. Zbl 1440.65129 Antonietti, P. F.; Mazzieri, I. 29 2018 A multigrid algorithm for the \(p\)-version of the virtual element method. Zbl 1397.65249 Antonietti, Paola F.; Verani, Marco 28 2018 Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods. Zbl 1435.65044 Antonietti, Paola F.; Houston, Paul; Pennesi, Giorgio 25 2018 A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics. Zbl 1462.65127 Antonietti, Paola F.; Mazzieri, Ilario; Dal Santo, Niccolò; Quarteroni, Alfio 17 2018 Numerical modeling of seismic waves by discontinuous spectral element methods. Zbl 1453.86013 Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco 11 2018 The virtual element method on anisotropic polygonal discretizations. Zbl 1427.65347 Antonietti, Paola F.; Berrone, Stefano; Verani, Marco; Weißer, Steffen 6 2018 A Cahn-Hilliard-type equation with application to tumor growth dynamics. Zbl 1387.35584 Agosti, Abramo; Antonietti, Paola Francesca; Ciarletta, Pasquale; Grasselli, Maurizio; Verani, Marco 34 2017 On the virtual element method for topology optimization on polygonal meshes: a numerical study. Zbl 1391.74205 Antonietti, Paola F.; Bruggi, Matteo; Scacchi, Simone; Verani, Marco 33 2017 Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. Zbl 1421.65029 Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco 30 2017 A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems. Zbl 1381.65091 Antonietti, Paola F.; Sarti, Marco; Verani, Marco; Zikatanov, Ludmil T. 17 2017 \(hp\)-version discontinuous Galerkin approximations of the elastodynamics equation. Zbl 1388.74090 Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Quarteroni, Alfio 8 2017 A \(C^1\) virtual element method for the Cahn-Hilliard equation with polygonal meshes. Zbl 1336.65160 Antonietti, P. F.; Beirão da Veiga, L.; Scacchi, S.; Verani, M. 163 2016 Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231 Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola 69 2016 Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. Zbl 1357.65251 Antonietti, Paola F.; Cangiani, Andrea; Collis, Joe; Dong, Zhaonan; Georgoulis, Emmanuil H.; Giani, Stefano; Houston, Paul 44 2016 Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem. Zbl 1383.74082 Antonietti, Paola F.; Ayuso de Dios, Blanca; Mazzieri, Ilario; Quarteroni, Alfio 22 2016 A discontinuous Galerkin reduced basis element method for elliptic problems. Zbl 1343.65132 Antonietti, Paola F.; Pacciarini, Paolo; Quarteroni, Alfio 19 2016 High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Zbl 1398.74291 Antonietti, Paola F.; Marcati, Carlo; Mazzieri, Ilario; Quarteroni, Alfio 15 2016 A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for \(hp\)-version discontinuous Galerkin methods. Zbl 1350.65134 Antonietti, Paola F.; Houston, Paul; Smears, Iain 12 2016 Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. Zbl 1427.82027 Antonietti, Paola F.; Merlet, Benoît; Pierre, Morgan; Verani, Marco 5 2016 Multigrid algorithms for high order discontinuous Galerkin methods. Zbl 1339.65213 Antonietti, Paola F.; Sarti, Marco; Verani, Marco 4 2016 Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions. Zbl 1376.65126 Antonietti, Paola F.; Grasselli, Maurizio; Stangalino, Simone; Verani, Marco 2 2016 Multigrid algorithms for \(hp\)-discontinuous Galerkin discretizations of elliptic problems. Zbl 1312.65181 Antonietti, Paola F.; Sarti, Marco; Verani, Marco 26 2015 High order discontinuous Galerkin methods for elliptic problems on surfaces. Zbl 1314.65146 Antonietti, Paola F.; Dedner, Andreas; Madhavan, Pravin; Stangalino, Simone; Stinner, Björn; Verani, Marco 23 2015 Mimetic finite difference approximation of quasilinear elliptic problems. Zbl 1316.65092 Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 10 2015 Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring. Zbl 1330.65186 Antonietti, P. F.; Ayuso de Dios, B.; Bertoluzza, S.; Pennacchio, M. 6 2015 Mimetic finite difference method for shape optimization problems. Zbl 1320.74111 Antonietti, P. F.; Bigoni, Nadia; Verani, Marco 3 2015 A two-level method for mimetic finite difference discretizations of elliptic problems. Zbl 1443.65279 Antonietti, Paola F.; Verani, Marco; Zikatanov, Ludmil 3 2015 Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260 Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani 2 2015 A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198 Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M. 193 2014 Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1307.65174 Antonietti, Paola F.; Giani, Stefano; Houston, Paul 19 2014 Mimetic finite differences for nonlinear and control problems. Zbl 1291.65316 Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. 17 2014 High order space-time discretization for elastic wave propagation problems. Zbl 1417.74012 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 4 2014 \(hp\)-version composite discontinuous Galerkin methods for elliptic problems on complicated domains. Zbl 1284.65163 Antonietti, Paola F.; Giani, Stefano; Houston, Paul 63 2013 Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. Zbl 1267.65159 Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco 23 2013 A mimetic discretization of elliptic obstacle problems. Zbl 1271.65136 Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco 21 2013 Mimetic discretizations of elliptic control problems. Zbl 1273.65079 Antonietti, Paola F.; Bigoni, Nadia; Verani, Marco 17 2013 Multigrid shape optimization governed by elliptic PDEs. Zbl 1273.65080 Antonietti, Paola F.; Borzì, Alfio; Verani, Marco 4 2013 An adaptive MFD method for the obstacle problem. Zbl 1545.65266 Antonietti, P. F.; Beirão da Veiga, L.; Verani, M. 2 2013 Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 38 2012 Schwarz methods for a preconditioned WOPSIP method for elliptic problems. Zbl 1284.65162 Antonietti, 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 1230.65123 Antonietti, Paola F.; Houston, Paul 38 2011 Finite element approximation of the Sobolev constant. Zbl 1208.65162 Antonietti, Paola F.; Pratelli, Aldo 2 2011 Two-level Schwarz preconditioners for super penalty discontinuous Galerkin methods. Zbl 1364.65235 Antonietti, Paola F.; Ayuso, Blanca 18 2009 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110 Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 16 2009 Domain decomposition preconditioning for discontinuous Galerkin approximations of convection-diffusion problems. Zbl 1183.65028 Antonietti, Paola F.; Süli, Endre 1 2009 Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems. Zbl 1146.65081 Antonietti, Paola F.; Ayuso, Blanca 20 2008 A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems. Zbl 1162.65403 Antonietti, Paola F.; Houston, Paul 6 2008 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141 Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 6 2008 Class of preconditioners for discontinuous Galerkin approximations of elliptic problems. Zbl 1140.65361 Antonietti, Paola F.; Ayuso, Blanca 1 2008 Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080 Antonietti, Paola F.; Ayuso, Blanca 43 2007 Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow. Zbl 1173.76327 Antonietti, Paola F.; Heltai, Luca 7 2007 Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410 Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria 50 2006 all cited Publications top 5 cited Publications all top 5 Cited by 1,158 Authors 76 Antonietti, Paola Francesca 45 Beirão da Veiga, Lourenço 41 Manzini, Gianmarco 37 Verani, Marco 28 Mora, David 22 Dassi, Franco 21 Mazzieri, Ilario 21 Zhao, Jikun 20 Vacca, Giuseppe 19 Adak, Dibyendu 19 Di Pietro, Daniele Antonio 18 Russo, Alessandro 17 Berrone, Stefano 17 Mascotto, Lorenzo 16 Droniou, Jérôme 15 Houston, Paul 14 Bertoluzza, Silvia 14 Brezzi, Franco 13 Chen, Zhangxin 13 Fumagalli, Alessio 13 Marini, Luisa Donatella 13 Rivera, Gonzalo 13 Scacchi, Simone 13 Velásquez, Iván G. 12 Lepe, Felipe 12 Prada, Daniele 12 Zhang, Bei 11 Chen, Shaochun 11 Feng, Minfu 11 Liu, Xin 11 Natarajan, Sundararajan 11 Scotti, Anna 10 Borio, Andrea 10 Brenner, Susanne Cecelia 10 Giani, Stefano 10 Kumar, Sarvesh 10 Li, Rui 10 Lovadina, Carlo 10 Masson, Roland 10 Pennacchio, Micol 10 Quarteroni, Alfio M. 10 Wang, Fei 9 Artioli, Edoardo 9 Formaggia, Luca 9 Gatica, Gabriel N. 9 Li, Meng 9 Natarajan, E. Palamadai 9 Vicini, Fabio 9 Wang, Feng 9 Wang, Gang 8 Cangiani, Andrea 8 Ern, Alexandre 8 Huang, Xuehai 8 Meng, Jian 8 Perugia, Ilaria 8 Scialò, Stefano 8 Sequeira, Filánder A. 7 Agosti, Abramo 7 Bonaldi, Francesco 7 Botti, Lorenzo 7 Chi, Heng 7 Feng, Fang 7 Georgoulis, Emmanuil H. 7 He, Yinnian 7 Huang, Jianguo 7 Lipnikov, Konstantin N. 7 Mei, Liquan 7 Paulino, Glaucio H. 7 Wei, Huayi 7 Zikatanov, Ludmil T. 6 Botti, Michele 6 Chung, Tsz Shun Eric 6 Dede’, Luca 6 Dong, Zhaonan 6 Han, Weimin 6 Krzyżanowski, Piotr 6 Li, Ruo 6 Pierre, Morgan 6 Signori, Andrea 6 Silgado, Alberth 6 Sung, Li-Yeng 6 Verma, Nitesh 5 Ayuso de Dios, Blanca 5 Bonizzoni, Francesca 5 Chen, Long 5 Corti, Mattia 5 Dryja, Maksymilian 5 Falletta, Silvia 5 Gao, Yali 5 Gyrya, Vitaliy T. 5 Hu, Xiaozhe 5 Larson, Mats G. 5 Li, Yang 5 Ovall, Jeffrey S. 5 Park, Eun-Jae 5 Pazner, Will E. 5 Pichler, Alexander 5 Rocca, Elisabetta 5 Rui, Hongxing 5 Scuderi, Letizia ...and 1,058 more Authors all top 5 Cited in 101 Serials 80 Journal of Scientific Computing 78 Computers & Mathematics with Applications 75 Computer Methods in Applied Mechanics and Engineering 69 Journal of Computational Physics 39 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 38 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 38 SIAM Journal on Scientific Computing 36 Journal of Computational and Applied Mathematics 33 SIAM Journal on Numerical Analysis 25 Calcolo 24 International Journal for Numerical Methods in Engineering 22 Applied Numerical Mathematics 20 Mathematics of Computation 19 Numerische Mathematik 18 Numerical Methods for Partial Differential Equations 18 Advances in Computational Mathematics 13 Applied Mathematics and Computation 13 Computational Geosciences 12 Communications in Computational Physics 10 Mathematics and Computers in Simulation 9 Numerical Algorithms 8 Computational Mechanics 8 Communications in Nonlinear Science and Numerical Simulation 8 Computational Methods in Applied Mathematics 8 Mathematics in Engineering 7 Discrete and Continuous Dynamical Systems. 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Electronic Transactions on Numerical Analysis 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Analysis. Real World Applications 2 Mathematical Modelling and Analysis 2 Advances in Mathematical Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 AIMS Mathematics 2 SMAI Journal of Computational Mathematics 1 International Journal for Numerical Methods in Fluids 1 BIT 1 Czechoslovak Mathematical Journal 1 Mathematische Annalen 1 Meccanica 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Journal of Complexity 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applied Mathematical Modelling 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 Journal of Convex Analysis 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Oberwolfach Reports 1 Communications in Applied Mathematics and Computational Science 1 Mathematics in Computer Science 1 Numerical Mathematics: Theory, Methods and Applications 1 Mathematical Control and Related Fields 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Theoretical Biology 1 Evolution Equations and Control Theory 1 Journal of Computational Dynamics 1 Journal of Function Spaces 1 Research in the Mathematical Sciences 1 Korean Journal of Mathematics 1 Journal of Computational and Theoretical Transport ...and 1 more Serials all top 5 Cited in 39 Fields 822 Numerical analysis (65-XX) 398 Partial differential equations (35-XX) 273 Fluid mechanics (76-XX) 170 Mechanics of deformable solids (74-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 34 Biology and other natural sciences (92-XX) 31 Geophysics (86-XX) 19 Optics, electromagnetic theory (78-XX) 18 Computer science (68-XX) 14 Potential theory (31-XX) 11 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Integral equations (45-XX) 5 Combinatorics (05-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Systems theory; control (93-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year