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Level-Set Shape Optimization via Polytopic Discontinuous Galerkin Methods
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Numerical Model for 1D–2D Pollutant Transport Problems
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Error estimates for completely discrete FEM in energy‐type and weaker norms
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Discontinuous Galerkin methods for Fisher–Kolmogorov equation with application to α-synuclein spreading in Parkinson’s disease
Mattia Corti, Francesca Bonizzoni, Luca Dede’, Alfio M. Quarteroni and Paola F. Antonietti Computer Methods in Applied Mechanics and Engineering 417 116450 (2023) https://doi.org/10.1016/j.cma.2023.116450
On Mathematical and Numerical Modelling of Multiphysics Wave Propagation with Polytopal Discontinuous Galerkin Methods: a Review
SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis
Lourenco Beirão da Veiga, Franco Dassi, Carlo Lovadina and Giuseppe Vacca ESAIM: Mathematical Modelling and Numerical Analysis 55(5) 2233 (2021) https://doi.org/10.1051/m2an/2021050
ℎ𝑝-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
A high-order discontinuous Galerkin method for nonlinear sound waves
Paola F. Antonietti, Ilario Mazzieri, Markus Muhr, Vanja Nikolić and Barbara Wohlmuth Journal of Computational Physics 415 109484 (2020) https://doi.org/10.1016/j.jcp.2020.109484
Recovered finite element methods on polygonal and polyhedral meshes
Zhaonan Dong, Emmanuil H. Georgoulis and Tristan Pryer ESAIM: Mathematical Modelling and Numerical Analysis 54(4) 1309 (2020) https://doi.org/10.1051/m2an/2019047
A high-order discontinuous Galerkin approach to the elasto-acoustic problem
Paola F. Antonietti, Francesco Bonaldi and Ilario Mazzieri Computer Methods in Applied Mechanics and Engineering 358 112634 (2020) https://doi.org/10.1016/j.cma.2019.112634
The conforming virtual element method for polyharmonic problems
A painless automatic hp-adaptive strategy for elliptic problems
Vincent Darrigrand, David Pardo, Théophile Chaumont-Frelet, Ignacio Gómez-Revuelto and Luis Emilio Garcia-Castillo Finite Elements in Analysis and Design 178 103424 (2020) https://doi.org/10.1016/j.finel.2020.103424
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element
Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids
Paola F. Antonietti, Chiara Facciolà, Alessandro Russo and Marco Verani SIAM Journal on Scientific Computing 41(1) A109 (2019) https://doi.org/10.1137/17M1138194
V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes
A multigrid algorithm for the p-version of the virtual element method
Paola F. Antonietti, Lorenzo Mascotto and Marco Verani ESAIM: Mathematical Modelling and Numerical Analysis 52(1) 337 (2018) https://doi.org/10.1051/m2an/2018007
Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods
Mahsa Mirzargar, Ashok Jallepalli, Jennifer K. Ryan and Robert M. Kirby Journal of Scientific Computing 73(2-3) 1072 (2017) https://doi.org/10.1007/s10915-017-0517-5
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis and Paul Houston SpringerBriefs in Mathematics, hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes 23 (2017) https://doi.org/10.1007/978-3-319-67673-9_3
$hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
Andrea Cangiani, Zhaonan Dong and Emmanuil H. Georgoulis SIAM Journal on Scientific Computing 39(4) A1251 (2017) https://doi.org/10.1137/16M1073285
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis and Paul Houston SpringerBriefs in Mathematics, hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes 87 (2017) https://doi.org/10.1007/978-3-319-67673-9_6
Multigrid algorithms for $$\varvec{hp}$$ h p -version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
Paola F. Antonietti, Andrea Cangiani, Joe Collis, et al. Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 281 (2016) https://doi.org/10.1007/978-3-319-41640-3_9