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Di Pietro, Daniele Antonio

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Author ID: di-pietro.daniele-antonio Recent zbMATH articles by "Di Pietro, Daniele Antonio"
Published as: Di Pietro, Daniele A.; Di Pietro, Daniele Antonio; Di Pietro, D. A.; di Pietro, Daniele A.; Di Pietro, Daniele; Pietro, Daniele A. Di
Homepage: https://imag.umontpellier.fr/~di-pietro/

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,881 times in 894 Documents Cited by Year
Mathematical aspects of discontinuous Galerkin methods. Zbl 1231.65209
Di Pietro, Daniele Antonio; Ern, Alexandre
316
2012
A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876
Di Pietro, Daniele A.; Ern, Alexandre
159
2015
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Zbl 1304.65248
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
120
2014
On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations. Zbl 1457.65178
Bassi, F.; Botti, L.; Colombo, A.; Di Pietro, D. A.; Tesini, P.
93
2012
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
86
2016
An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier–Stokes equations. Zbl 1158.76313
Bassi, F.; Crivellini, A.; Di Pietro, D. A.; Rebay, S.
81
2006
Hybrid high-order methods for variable-diffusion problems on general meshes. (Méthodes hybrides d’ordre élevé pour des problèmes à diffusion variable sur des maillages généraux.) Zbl 1308.65196
Di Pietro, Daniele A.; Ern, Alexandre
66
2015
Discrete functional analysis tools for discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. Zbl 1369.76024
Di Pietro, Daniele A.; Ern, Alexandre
62
2010
A hybrid high-order method for Leray-Lions elliptic equations on general meshes. Zbl 1364.65224
Di Pietro, Daniele A.; Droniou, Jérôme
56
2017
An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows. Zbl 1194.76102
Bassi, Francesco; Crivellini, Andrea; Di Pietro, Daniele A.; Rebay, Stefano
51
2007
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194
Di Pietro, Daniele A.; Droniou, Jéroôme; Ern, Alexandre
42
2015
The hybrid high-order method for polytopal meshes. Design, analysis, and applications. Zbl 07183616
Di Pietro, Daniele Antonio; Droniou, Jérôme
39
2020
A hybrid high-order method for Darcy flows in fractured porous media. Zbl 1448.65196
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
35
2018
An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow. Zbl 1308.74145
Di Pietro, Daniele A.; Lemaire, Simon
34
2015
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
32
2008
A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure. Zbl 1283.76030
Botti, Lorenzo; Di Pietro, Daniele A.
30
2011
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414
Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco
29
2018
\(W^{s,p}\)-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a hybrid high-order discretisation of Leray-Lions problems. Zbl 1365.65251
Di Pietro, Daniele A.; Droniou, Jérôme
27
2017
A hybrid high-order method for nonlinear elasticity. Zbl 1459.65212
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
27
2017
A nonconforming high-order method for the Biot problem on general meshes. Zbl 1337.76042
Boffi, Daniele; Botti, Michele; Di Pietro, Daniele A.
26
2016
The G method for heterogeneous anisotropic diffusion on general meshes. Zbl 1202.65143
Agélas, Léo; di Pietro, Daniele A.; Droniou, Jérôme
22
2010
Hybridization of mixed high-order methods on general meshes and application to the Stokes equations. Zbl 1311.76038
Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A.
22
2015
Mass preserving finite element implementations of the level set method. Zbl 1126.65089
Di Pietro, Daniele A.; Lo Forte, Stefania; Parolini, Nicola
21
2006
A hybrid high-order method for the steady incompressible Navier-Stokes problem. Zbl 1384.76037
Di Pietro, Daniele A.; Krell, Stella
20
2018
A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. Zbl 1349.76323
Di Pietro, Daniele A.; Flauraud, Eric; Vohralík, Martin; Yousef, Soleiman
19
2014
A review of hybrid high-order methods: formulations, computational aspects, comparison with other methods. Zbl 1357.65258
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
19
2016
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 1471.74076
Cicuttin, M.; Di Pietro, D. A.; Ern, A.
18
2018
A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022
Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm
17
2016
Assessment of hybrid high-order methods on curved meshes and comparison with discontinuous Galerkin methods. Zbl 1398.65328
Botti, Lorenzo; Di Pietro, Daniele A.
17
2018
Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285
Di Pietro, Daniele A.; Ern, Alexandre
16
2017
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. Zbl 1459.65215
Di Pietro, Daniele A.; Droniou, Jérôme
15
2018
A hybrid high-order method for the Cahn-Hilliard problem in mixed form. Zbl 1401.65103
Chave, Florent; Di Pietro, Daniele A.; Marche, Fabien; Pigeonneau, Franck
15
2016
A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam’s device. Zbl 1416.76205
Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme
13
2019
Cell centered Galerkin methods for diffusive problems. Zbl 1279.65125
Di Pietro, Daniele A.
12
2012
Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. Zbl 1307.65123
Di Pietro, Daniele A.; Vohralík, Martin; Yousef, Soleiman
12
2015
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes. Zbl 1402.65135
Boffi, Daniele; Di Pietro, Daniele A.
12
2018
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Zbl 1417.65197
Bonelle, Jérôme; Di Pietro, Daniele A.; Ern, Alexandre
12
2015
A symmetric and coercive finite volume scheme for multiphase porous media flow problems with applications in the oil industry. Zbl 1374.76105
Agelas, L.; Di Pietro, D. A.; Masson, R.
11
2008
A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits. Zbl 1440.76052
Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme
10
2018
An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media. Zbl 1362.65097
Di Pietro, Daniele A.; Vohralík, Martin; Yousef, Soleiman
9
2014
A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media. Zbl 1396.74094
Di Pietro, Daniele A.; Nicaise, Serge
9
2013
Stress and flux reconstruction in Biot’s poro-elasticity problem with application to a posteriori error analysis. Zbl 1370.76086
Riedlbeck, Rita; Di Pietro, Daniele A.; Ern, Alexandre; Granet, Sylvie; Kazymyrenko, Kyrylo
9
2017
Analysis of a discontinuous Galerkin approximation of the Stokes problem based on an artificial compressibility flux. Zbl 1128.76034
Di Pietro, Daniele A.
8
2007
An \(hp\)-hybrid high-order method for variable diffusion on general meshes. Zbl 1380.65244
Aghili, Joubine; Di Pietro, Daniele A.; Ruffini, Berardo
8
2017
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. Zbl 1451.65173
Di Pietro, Daniele A.; Droniou, Jérôme; Rapetti, Francesca
6
2020
Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Zbl 1267.65178
Di Pietro, Daniele A.; Ern, Alexandre
6
2012
A hybrid high-order method for Kirchhoff-Love plate bending problems. Zbl 1404.65251
Bonaldi, Francesco; Di Pietro, Daniele A.; Geymonat, Giuseppe; Krasucki, Françoise
6
2018
A hybrid high-order method for passive transport in fractured porous media. Zbl 1419.76606
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
6
2019
An introduction to hybrid high-order methods. Zbl 1416.65441
Di Pietro, Daniele Antonio; Tittarelli, Roberta
5
2018
A hybrid high-order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. Zbl 1437.65178
Castanon Quiroz, Daniel; Di Pietro, Daniele A.
5
2020
An a posteriori-driven adaptive mixed high-order method with application to electrostatics. Zbl 1373.78041
Di Pietro, Daniele A.; Specogna, Ruben
5
2016
Compact-stencil MPFA method for heterogeneous highly anisotropic second-order elliptic problems. Zbl 1422.65325
Mundal, Sissel; Di Pietro, Daniele A.; Aavatsmark, Ivar
5
2008
Equilibrated tractions for the hybrid high-order method. (Tranctions équilibrées pour la méthode hybride d’ordre élevé.) Zbl 1310.65143
Di Pietro, Daniele A.; Ern, Alexandre
5
2015
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. Zbl 07500728
Di Pietro, Daniele A.; Droniou, Jérôme
4
2021
A hybrid high-order discretization method for nonlinear poroelasticity. Zbl 1437.76027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
4
2020
A low-order nonconforming method for linear elasticity on general meshes. Zbl 1441.74231
Botti, Michele; Di Pietro, Daniele A.; Guglielmana, Alessandra
4
2019
An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods. Zbl 07351750
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A.
4
2021
Cell centered Galerkin methods. Zbl 1183.65123
di Pietro, Daniele A.
4
2010
Hybrid finite volume discretization of linear elasticity models on general meshes. Zbl 1246.76051
Di Pietro, Daniele A.; Eymard, Robert; Lemaire, Simon; Masson, Roland
4
2011
Gallavotti-Cohen-type symmetry related to cycle decompositions for Markov chains and biochemical applications. Zbl 1219.82127
Faggionato, Alessandra; Di Pietro, Daniele
4
2011
A three-dimensional hybrid high-order method for magnetostatics. Zbl 1454.65162
Chave, Florent; Di Pietro, Daniele A.; Lemaire, Simon
4
2020
A nonconforming high-order method for nonlinear poroelasticity. Zbl 1365.74027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
3
2017
Polyhedral methods in geosciences. Zbl 1468.86001
3
2021
Improved error estimates for hybrid high-order discretizations of Leray-Lions problems. Zbl 1471.65176
Pietro, Daniele A. Di; Droniou, Jérôme; Harnist, André
3
2021
A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes. Zbl 1262.65148
Di Pietro, Daniele A.; Gratien, Jean-Marc; Prud’homme, Christophe
3
2013
An a posteriori error estimator for a finite volume discretization of the two-phase flow. Zbl 1246.76079
Di Pietro, Daniele A.; Vohralík, Martin; Widmer, Carole
3
2011
A symmetric finite volume scheme for anisotropic heterogeneous second-order elliptic problems. Zbl 1422.65331
Agelas, Leo; Di Pietro, Daniele A.
3
2008
Benchmark session: the 2D hybrid high-order method. Zbl 1391.76400
Di Pietro, Daniele A.; Krell, Stella
3
2017
Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis. Zbl 1390.74187
Riedlbeck, Rita; Di Pietro, Daniele A.; Ern, Alexandre
3
2017
Numerical approximation of poroelasticity with random coefficients using polynomial chaos and hybrid high-order methods. Zbl 1442.74063
Botti, Michele; Di Pietro, Daniele A.; Le Maître, Olivier; Sochala, Pierre
2
2020
An H-multigrid method for hybrid high-order discretizations. Zbl 1473.35145
Di Pietro, Daniele A.; Hülsemann, Frank; Matalon, Pierre; Mycek, Paul; Rüde, Ulrich; Ruiz, Daniel
2
2021
On the conservativity of cell-centered Galerkin methods. Zbl 1269.65123
Di Pietro, Daniele A.
2
2013
Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows. Zbl 1380.76036
Di Pietro, Daniele A.; Marche, Fabien
2
2018
Numerical methods for PDEs. State of the art techniques. Zbl 1402.65007
2
2018
An advection-robust hybrid high-order method for the Oseen problem. Zbl 1406.65103
Aghili, Joubine; Di Pietro, Daniele A.
2
2018
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics. Zbl 1483.35243
Chave, Florent; Di Pietro, Daniele A.; Lemaire, Simon
1
2022
A hybrid high-order method for multiple-network poroelasticity. Zbl 1470.76050
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A.
1
2021
A hybrid high-order method for creeping flows of non-Newtonian fluids. Zbl 1489.65154
Botti, Michele; Quiroz, Daniel Castanon; Di Pietro, Daniele A.; Harnist, André
1
2021
Lowest order methods for diffusive problems on general meshes: a unified approach to definition and implementation. Zbl 1246.65261
Di Pietro, Daniele A.; Gratien, Jean-Marc
1
2011
Preface: Special issue on model reduction. Zbl 1481.00045
1
2019
A discontinuous Galerkin flux for anisotropic heterogeneous second-order elliptic problems. Zbl 1422.65382
Di Pietro, Daniele A.; Ern, Alexandre
1
2008
A compact cell-centered Galerkin method with subgrid stabilization. (Une méthode de Galerkine centrée aux mailles avec stencil compact et stabilisation de sous-grille.) Zbl 1208.65165
Di Pietro, Daniele A.
1
2011
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics. Zbl 1483.35243
Chave, Florent; Di Pietro, Daniele A.; Lemaire, Simon
1
2022
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. Zbl 07500728
Di Pietro, Daniele A.; Droniou, Jérôme
4
2021
An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods. Zbl 07351750
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A.
4
2021
Polyhedral methods in geosciences. Zbl 1468.86001
3
2021
Improved error estimates for hybrid high-order discretizations of Leray-Lions problems. Zbl 1471.65176
Pietro, Daniele A. Di; Droniou, Jérôme; Harnist, André
3
2021
An H-multigrid method for hybrid high-order discretizations. Zbl 1473.35145
Di Pietro, Daniele A.; Hülsemann, Frank; Matalon, Pierre; Mycek, Paul; Rüde, Ulrich; Ruiz, Daniel
2
2021
A hybrid high-order method for multiple-network poroelasticity. Zbl 1470.76050
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A.
1
2021
A hybrid high-order method for creeping flows of non-Newtonian fluids. Zbl 1489.65154
Botti, Michele; Quiroz, Daniel Castanon; Di Pietro, Daniele A.; Harnist, André
1
2021
The hybrid high-order method for polytopal meshes. Design, analysis, and applications. Zbl 07183616
Di Pietro, Daniele Antonio; Droniou, Jérôme
39
2020
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. Zbl 1451.65173
Di Pietro, Daniele A.; Droniou, Jérôme; Rapetti, Francesca
6
2020
A hybrid high-order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. Zbl 1437.65178
Castanon Quiroz, Daniel; Di Pietro, Daniele A.
5
2020
A hybrid high-order discretization method for nonlinear poroelasticity. Zbl 1437.76027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
4
2020
A three-dimensional hybrid high-order method for magnetostatics. Zbl 1454.65162
Chave, Florent; Di Pietro, Daniele A.; Lemaire, Simon
4
2020
Numerical approximation of poroelasticity with random coefficients using polynomial chaos and hybrid high-order methods. Zbl 1442.74063
Botti, Michele; Di Pietro, Daniele A.; Le Maître, Olivier; Sochala, Pierre
2
2020
A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam’s device. Zbl 1416.76205
Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme
13
2019
A hybrid high-order method for passive transport in fractured porous media. Zbl 1419.76606
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
6
2019
A low-order nonconforming method for linear elasticity on general meshes. Zbl 1441.74231
Botti, Michele; Di Pietro, Daniele A.; Guglielmana, Alessandra
4
2019
Preface: Special issue on model reduction. Zbl 1481.00045
1
2019
A hybrid high-order method for Darcy flows in fractured porous media. Zbl 1448.65196
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
35
2018
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414
Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco
29
2018
A hybrid high-order method for the steady incompressible Navier-Stokes problem. Zbl 1384.76037
Di Pietro, Daniele A.; Krell, Stella
20
2018
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 1471.74076
Cicuttin, M.; Di Pietro, D. A.; Ern, A.
18
2018
Assessment of hybrid high-order methods on curved meshes and comparison with discontinuous Galerkin methods. Zbl 1398.65328
Botti, Lorenzo; Di Pietro, Daniele A.
17
2018
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. Zbl 1459.65215
Di Pietro, Daniele A.; Droniou, Jérôme
15
2018
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes. Zbl 1402.65135
Boffi, Daniele; Di Pietro, Daniele A.
12
2018
A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits. Zbl 1440.76052
Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme
10
2018
A hybrid high-order method for Kirchhoff-Love plate bending problems. Zbl 1404.65251
Bonaldi, Francesco; Di Pietro, Daniele A.; Geymonat, Giuseppe; Krasucki, Françoise
6
2018
An introduction to hybrid high-order methods. Zbl 1416.65441
Di Pietro, Daniele Antonio; Tittarelli, Roberta
5
2018
Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows. Zbl 1380.76036
Di Pietro, Daniele A.; Marche, Fabien
2
2018
Numerical methods for PDEs. State of the art techniques. Zbl 1402.65007
2
2018
An advection-robust hybrid high-order method for the Oseen problem. Zbl 1406.65103
Aghili, Joubine; Di Pietro, Daniele A.
2
2018
A hybrid high-order method for Leray-Lions elliptic equations on general meshes. Zbl 1364.65224
Di Pietro, Daniele A.; Droniou, Jérôme
56
2017
\(W^{s,p}\)-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a hybrid high-order discretisation of Leray-Lions problems. Zbl 1365.65251
Di Pietro, Daniele A.; Droniou, Jérôme
27
2017
A hybrid high-order method for nonlinear elasticity. Zbl 1459.65212
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
27
2017
Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285
Di Pietro, Daniele A.; Ern, Alexandre
16
2017
Stress and flux reconstruction in Biot’s poro-elasticity problem with application to a posteriori error analysis. Zbl 1370.76086
Riedlbeck, Rita; Di Pietro, Daniele A.; Ern, Alexandre; Granet, Sylvie; Kazymyrenko, Kyrylo
9
2017
An \(hp\)-hybrid high-order method for variable diffusion on general meshes. Zbl 1380.65244
Aghili, Joubine; Di Pietro, Daniele A.; Ruffini, Berardo
8
2017
A nonconforming high-order method for nonlinear poroelasticity. Zbl 1365.74027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
3
2017
Benchmark session: the 2D hybrid high-order method. Zbl 1391.76400
Di Pietro, Daniele A.; Krell, Stella
3
2017
Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis. Zbl 1390.74187
Riedlbeck, Rita; Di Pietro, Daniele A.; Ern, Alexandre
3
2017
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
86
2016
A nonconforming high-order method for the Biot problem on general meshes. Zbl 1337.76042
Boffi, Daniele; Botti, Michele; Di Pietro, Daniele A.
26
2016
A review of hybrid high-order methods: formulations, computational aspects, comparison with other methods. Zbl 1357.65258
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
19
2016
A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022
Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm
17
2016
A hybrid high-order method for the Cahn-Hilliard problem in mixed form. Zbl 1401.65103
Chave, Florent; Di Pietro, Daniele A.; Marche, Fabien; Pigeonneau, Franck
15
2016
An a posteriori-driven adaptive mixed high-order method with application to electrostatics. Zbl 1373.78041
Di Pietro, Daniele A.; Specogna, Ruben
5
2016
A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876
Di Pietro, Daniele A.; Ern, Alexandre
159
2015
Hybrid high-order methods for variable-diffusion problems on general meshes. (Méthodes hybrides d’ordre élevé pour des problèmes à diffusion variable sur des maillages généraux.) Zbl 1308.65196
Di Pietro, Daniele A.; Ern, Alexandre
66
2015
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194
Di Pietro, Daniele A.; Droniou, Jéroôme; Ern, Alexandre
42
2015
An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow. Zbl 1308.74145
Di Pietro, Daniele A.; Lemaire, Simon
34
2015
Hybridization of mixed high-order methods on general meshes and application to the Stokes equations. Zbl 1311.76038
Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A.
22
2015
Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. Zbl 1307.65123
Di Pietro, Daniele A.; Vohralík, Martin; Yousef, Soleiman
12
2015
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Zbl 1417.65197
Bonelle, Jérôme; Di Pietro, Daniele A.; Ern, Alexandre
12
2015
Equilibrated tractions for the hybrid high-order method. (Tranctions équilibrées pour la méthode hybride d’ordre élevé.) Zbl 1310.65143
Di Pietro, Daniele A.; Ern, Alexandre
5
2015
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Zbl 1304.65248
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
120
2014
A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. Zbl 1349.76323
Di Pietro, Daniele A.; Flauraud, Eric; Vohralík, Martin; Yousef, Soleiman
19
2014
An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media. Zbl 1362.65097
Di Pietro, Daniele A.; Vohralík, Martin; Yousef, Soleiman
9
2014
A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media. Zbl 1396.74094
Di Pietro, Daniele A.; Nicaise, Serge
9
2013
A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes. Zbl 1262.65148
Di Pietro, Daniele A.; Gratien, Jean-Marc; Prud’homme, Christophe
3
2013
On the conservativity of cell-centered Galerkin methods. Zbl 1269.65123
Di Pietro, Daniele A.
2
2013
Mathematical aspects of discontinuous Galerkin methods. Zbl 1231.65209
Di Pietro, Daniele Antonio; Ern, Alexandre
316
2012
On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations. Zbl 1457.65178
Bassi, F.; Botti, L.; Colombo, A.; Di Pietro, D. A.; Tesini, P.
93
2012
Cell centered Galerkin methods for diffusive problems. Zbl 1279.65125
Di Pietro, Daniele A.
12
2012
Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Zbl 1267.65178
Di Pietro, Daniele A.; Ern, Alexandre
6
2012
A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure. Zbl 1283.76030
Botti, Lorenzo; Di Pietro, Daniele A.
30
2011
Hybrid finite volume discretization of linear elasticity models on general meshes. Zbl 1246.76051
Di Pietro, Daniele A.; Eymard, Robert; Lemaire, Simon; Masson, Roland
4
2011
Gallavotti-Cohen-type symmetry related to cycle decompositions for Markov chains and biochemical applications. Zbl 1219.82127
Faggionato, Alessandra; Di Pietro, Daniele
4
2011
An a posteriori error estimator for a finite volume discretization of the two-phase flow. Zbl 1246.76079
Di Pietro, Daniele A.; Vohralík, Martin; Widmer, Carole
3
2011
Lowest order methods for diffusive problems on general meshes: a unified approach to definition and implementation. Zbl 1246.65261
Di Pietro, Daniele A.; Gratien, Jean-Marc
1
2011
A compact cell-centered Galerkin method with subgrid stabilization. (Une méthode de Galerkine centrée aux mailles avec stencil compact et stabilisation de sous-grille.) Zbl 1208.65165
Di Pietro, Daniele A.
1
2011
Discrete functional analysis tools for discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. Zbl 1369.76024
Di Pietro, Daniele A.; Ern, Alexandre
62
2010
The G method for heterogeneous anisotropic diffusion on general meshes. Zbl 1202.65143
Agélas, Léo; di Pietro, Daniele A.; Droniou, Jérôme
22
2010
Cell centered Galerkin methods. Zbl 1183.65123
di Pietro, Daniele A.
4
2010
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
32
2008
A symmetric and coercive finite volume scheme for multiphase porous media flow problems with applications in the oil industry. Zbl 1374.76105
Agelas, L.; Di Pietro, D. A.; Masson, R.
11
2008
Compact-stencil MPFA method for heterogeneous highly anisotropic second-order elliptic problems. Zbl 1422.65325
Mundal, Sissel; Di Pietro, Daniele A.; Aavatsmark, Ivar
5
2008
A symmetric finite volume scheme for anisotropic heterogeneous second-order elliptic problems. Zbl 1422.65331
Agelas, Leo; Di Pietro, Daniele A.
3
2008
A discontinuous Galerkin flux for anisotropic heterogeneous second-order elliptic problems. Zbl 1422.65382
Di Pietro, Daniele A.; Ern, Alexandre
1
2008
An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows. Zbl 1194.76102
Bassi, Francesco; Crivellini, Andrea; Di Pietro, Daniele A.; Rebay, Stefano
51
2007
Analysis of a discontinuous Galerkin approximation of the Stokes problem based on an artificial compressibility flux. Zbl 1128.76034
Di Pietro, Daniele A.
8
2007
An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier–Stokes equations. Zbl 1158.76313
Bassi, F.; Crivellini, A.; Di Pietro, D. A.; Rebay, S.
81
2006
Mass preserving finite element implementations of the level set method. Zbl 1126.65089
Di Pietro, Daniele A.; Lo Forte, Stefania; Parolini, Nicola
21
2006
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Cited by 1,192 Authors

60 Di Pietro, Daniele Antonio
44 Ern, Alexandre
30 Beirão da Veiga, Lourenço
29 Droniou, Jérôme
24 Antonietti, Paola Francesca
23 Bassi, Francesco
22 Botti, Lorenzo
21 Vohralík, Martin
20 Manzini, Gianmarco
19 Burman, Erik
18 Crivellini, Andrea
17 Dassi, Franco
17 Dumbser, Michael
16 Colombo, Alessandro G.
15 Feng, Minfu
13 Carstensen, Carsten
13 Mu, Lin
13 Rivière, Beatrice M.
13 Vacca, Giuseppe
13 Ye, Xiu
12 Houston, Paul
12 Russo, Alessandro
11 Botti, Michele
11 Cockburn, Bernardo
11 Georgoulis, Emmanuil H.
11 Mora, David
11 Rhebergen, Sander
11 Verani, Marco
10 Ghidoni, Antonio
10 Linke, Alexander
9 Lovadina, Carlo
9 Mascotto, Lorenzo
9 Zhang, Shangyou
8 Brezzi, Franco
8 Cangiani, Andrea
8 Formaggia, Luca
8 Fumagalli, Alessio
8 Marini, Luisa Donatella
8 Park, Eun-Jae
8 Scotti, Anna
8 Tavelli, Maurizio
8 Zhao, Lina
7 Bertoluzza, Silvia
7 Chave, Florent
7 Dong, Zhaonan
7 Lemaire, Simon
7 Prada, Daniele
7 Scialò, Stefano
7 Solano, Manuel E.
6 Bonaldi, Francesco
6 Chung, Tsz Shun Eric
6 Ferrer, Esteban
6 Franchina, Nicoletta
6 Hansbo, Peter
6 Larson, Mats G.
6 Massa, Francesco Carlo
6 Masson, Roland
6 Mazzieri, Ilario
6 Meddahi, Salim
6 Pryer, Tristan
6 Qiu, Weifeng
6 Rebay, Stefano
6 Rupp, Andreas
6 Schroeder, Philipp W.
6 Sochala, Pierre
5 Abdulle, Assyr
5 Artioli, Edoardo
5 Berrone, Stefano
5 Bonelle, Jérôme
5 Borio, Andrea
5 Boscheri, Walter
5 Brenner, Susanne Cecelia
5 Cicuttin, Matteo
5 Eymard, Robert
5 Franciolini, Matteo
5 Fu, Guosheng
5 Giacomini, Matteo
5 Girault, Vivette
5 He, Yinnian
5 Hochbruck, Marlis
5 Huerta, Antonio
5 Moore, Stephen Edward
5 Nigro, Alessandra
5 Pennacchio, Micol
5 Peterseim, Daniel
5 Rivera, Gonzalo
5 Sayas, Francisco-Javier
5 Specogna, Ruben
5 Van Brummelen, Harald
5 Wang, Junping
5 Wells, Garth N.
5 Wohlmuth, Barbara I.
4 Abgrall, Rémi
4 Agelas, Leo
4 Ahmed, Elyes
4 Boffi, Daniele
4 Calo, Victor Manuel
4 Castelletto, Nicola
4 Chen, Zhangxin
4 Coatléven, Julien
...and 1,092 more Authors
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Cited in 94 Serials

83 Journal of Computational Physics
75 Journal of Scientific Computing
72 Computer Methods in Applied Mechanics and Engineering
61 SIAM Journal on Numerical Analysis
59 Computers & Mathematics with Applications
45 Computers and Fluids
42 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
41 SIAM Journal on Scientific Computing
33 Journal of Computational and Applied Mathematics
32 Mathematics of Computation
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
26 Numerische Mathematik
16 Computational Methods in Applied Mathematics
14 Applied Numerical Mathematics
13 Applied Mathematics and Computation
13 Communications in Computational Physics
12 Advances in Computational Mathematics
12 Computational Geosciences
10 Calcolo
10 Computational Mechanics
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Communications on Applied Mathematics and Computation
8 Numerical Methods for Partial Differential Equations
7 International Journal of Numerical Analysis and Modeling
5 BIT
5 International Journal of Computational Fluid Dynamics
5 Journal of Numerical Mathematics
5 GEM - International Journal on Geomathematics
4 International Journal for Numerical Methods in Fluids
4 International Journal for Numerical Methods in Engineering
4 Mathematics and Computers in Simulation
4 Applied Mathematical Modelling
3 Computer Aided Geometric Design
3 Computing and Visualization in Science
3 Multiscale Modeling & Simulation
3 SMAI Journal of Computational Mathematics
2 Inverse Problems
2 Journal of Statistical Physics
2 SIAM Journal on Control and Optimization
2 Journal of Computational Mathematics
2 Japan Journal of Industrial and Applied Mathematics
2 Numerical Algorithms
2 Computational and Applied Mathematics
2 ETNA. Electronic Transactions on Numerical Analysis
2 Mathematical Problems in Engineering
2 Journal of Mathematical Fluid Mechanics
2 European Journal of Mechanics. B. Fluids
2 Discrete and Continuous Dynamical Systems. Series B
2 Oberwolfach Reports
2 Advances in Applied Mathematics and Mechanics
2 S\(\vec{\text{e}}\)MA Journal
2 Mathematics in Engineering
2 Electronic Research Archive
2 Results in Applied Mathematics
2 International Journal on Finite Volumes
1 Applicable Analysis
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Nonlinearity
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Optimization Theory and Applications
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Computational Mathematics and Mathematical Physics
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Stochastic Processes and their Applications
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Mathematical Imaging and Vision
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Discrete Dynamics in Nature and Society
1 Lobachevskii Journal of Mathematics
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics
1 Central European Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Boundary Value Problems
1 Acta Mechanica Sinica
1 Communications in Applied Mathematics and Computational Science
1 International Journal for Numerical Methods in Biomedical Engineering
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Communications in Applied and Industrial Mathematics
1 Journal of Applied Analysis and Computation
1 Journal of Computational Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 AIMS Mathematics
1 Water Waves
all top 5

Cited in 37 Fields

773 Numerical analysis (65-XX)
394 Fluid mechanics (76-XX)
353 Partial differential equations (35-XX)
121 Mechanics of deformable solids (74-XX)
24 Optics, electromagnetic theory (78-XX)
23 Geophysics (86-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
13 Computer science (68-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Biology and other natural sciences (92-XX)
6 General and overarching topics; collections (00-XX)
6 Functional analysis (46-XX)
6 Operator theory (47-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Probability theory and stochastic processes (60-XX)
4 Potential theory (31-XX)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Ordinary differential equations (34-XX)
3 Differential geometry (53-XX)
3 Systems theory; control (93-XX)
2 Special functions (33-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Manifolds and cell complexes (57-XX)
2 Operations research, mathematical programming (90-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year