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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, D. A.; Di Pietro, Daniele; Di Pietro, Daniele A.; Di Pietro, Daniele Antonio; di Pietro, Daniele A.
Homepage: https://imag.umontpellier.fr/~di-pietro/
Documents Indexed: 78 Publications since 2006, including 3 Books

Publications by Year

Citations contained in zbMATH Open

68 Publications have been cited 1,323 times in 648 Documents Cited by Year
Mathematical aspects of discontinuous Galerkin methods. Zbl 1231.65209
Di Pietro, Daniele Antonio; Ern, Alexandre
239
2012
A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876
Di Pietro, Daniele A.; Ern, Alexandre
112
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
84
2014
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.
71
2006
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
65
2016
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.
62
2012
Hybrid high-order methods for variable-diffusion problems on general meshes. Zbl 1308.65196
Di Pietro, Daniele A.; Ern, Alexandre
51
2015
A hybrid high-order method for Leray-Lions elliptic equations on general meshes. Zbl 1364.65224
Di Pietro, Daniele A.; Droniou, Jérôme
45
2017
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
44
2010
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
44
2007
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194
Di Pietro, Daniele A.; Droniou, Jéroôme; Ern, Alexandre
34
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
28
2015
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
27
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.
26
2011
A nonconforming high-order method for the Biot problem on general meshes. Zbl 1337.76042
Boffi, Daniele; Botti, Michele; Di Pietro, Daniele A.
22
2016
\(W^{s,p}\)-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
21
2017
A hybrid high-order method for Darcy flows in fractured porous media. Zbl 1448.65196
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
18
2018
The G method for heterogeneous anisotropic diffusion on general meshes. Zbl 1202.65143
Agélas, Léo; di Pietro, Daniele A.; Droniou, Jérôme
18
2010
Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285
Di Pietro, Daniele A.; Ern, Alexandre
17
2017
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
17
2014
Mass preserving finite element implementations of the level set method. Zbl 1126.65089
Di Pietro, Daniele A.; Lo Forte, Stefania; Parolini, Nicola
17
2006
A hybrid high-order method for nonlinear elasticity. Zbl 1459.65212
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
15
2017
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414
Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco
14
2018
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
14
2016
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.
14
2015
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 06910458
Cicuttin, M.; Di Pietro, D. A.; Ern, A.
12
2018
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes. Zbl 1402.65135
Boffi, Daniele; Di Pietro, Daniele A.
11
2018
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
11
2015
Cell centered Galerkin methods for diffusive problems. Zbl 1279.65125
Di Pietro, Daniele A.
10
2012
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.
10
2008
A hybrid high-order method for the steady incompressible Navier-Stokes problem. Zbl 1384.76037
Di Pietro, Daniele A.; Krell, Stella
9
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
9
2016
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
Assessment of hybrid high-order methods on curved meshes and comparison with discontinuous Galerkin methods. Zbl 1398.65328
Botti, Lorenzo; Di Pietro, Daniele A.
8
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
8
2014
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Zbl 1417.65197
Bonelle, Jérôme; Di Pietro, Daniele A.; Ern, Alexandre
7
2015
Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Zbl 1267.65178
Di Pietro, Daniele A.; Ern, Alexandre
7
2012
The hybrid high-order method for polytopal meshes. Design, analysis, and applications. Zbl 07183616
Di Pietro, Daniele Antonio; Droniou, Jérôme
6
2020
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. Zbl 1459.65215
Di Pietro, Daniele A.; Droniou, Jérôme
6
2018
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
6
2017
A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022
Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm
6
2016
Analysis of a discontinuous Galerkin approximation of the Stokes problem based on an artificial compressibility flux. Zbl 1128.76034
Di Pietro, Daniele A.
6
2007
An introduction to hybrid high-order methods. Zbl 1416.65441
Di Pietro, Daniele Antonio; Tittarelli, Roberta
4
2018
An a posteriori-driven adaptive mixed high-order method with application to electrostatics. Zbl 1373.78041
Di Pietro, Daniele A.; Specogna, Ruben
4
2016
Equilibrated tractions for the hybrid high-order method. Zbl 1310.65143
Di Pietro, Daniele A.; Ern, Alexandre
4
2015
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
Cell centered Galerkin methods. Zbl 1183.65123
di Pietro, Daniele A.
4
2010
Compact-stencil MPFA method for heterogeneous highly anisotropic second-order elliptic problems. Zbl 1422.65325
Mundal, Sissel; Di Pietro, Daniele A.; Aavatsmark, Ivar
4
2008
A hybrid high-order method for passive transport in fractured porous media. Zbl 1419.76606
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
3
2019
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
3
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
3
2018
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
A symmetric finite volume scheme for anisotropic heterogeneous second-order elliptic problems. Zbl 1422.65331
Agelas, Leo; Di Pietro, Daniele A.
3
2008
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
An \(hp\)-hybrid high-order method for variable diffusion on general meshes. Zbl 1380.65244
Aghili, Joubine; Di Pietro, Daniele A.; Ruffini, Berardo
2
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
2
2017
A nonconforming high-order method for nonlinear poroelasticity. Zbl 1365.74027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
2
2017
On the conservativity of cell-centered Galerkin methods. Zbl 1269.65123
Di Pietro, Daniele A.
2
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
2
2011
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
1
2020
A hybrid high-order discretization method for nonlinear poroelasticity. Zbl 1437.76027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
1
2020
A low-order nonconforming method for linear elasticity on general meshes. Zbl 1441.74231
Botti, Michele; Di Pietro, Daniele A.; Guglielmana, Alessandra
1
2019
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
1
2019
Benchmark session: the 2D hybrid high-order method. Zbl 1391.76400
Di Pietro, Daniele A.; Krell, Stella
1
2017
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. Zbl 1208.65165
Di Pietro, Daniele A.
1
2011
A discontinuous Galerkin flux for anisotropic heterogeneous second-order elliptic problems. Zbl 1422.65382
Di Pietro, Daniele A.; Ern, Alexandre
1
2008
The hybrid high-order method for polytopal meshes. Design, analysis, and applications. Zbl 07183616
Di Pietro, Daniele Antonio; Droniou, Jérôme
6
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
1
2020
A hybrid high-order discretization method for nonlinear poroelasticity. Zbl 1437.76027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
1
2020
A hybrid high-order method for passive transport in fractured porous media. Zbl 1419.76606
Chave, Florent; Di Pietro, Daniele A.; Formaggia, Luca
3
2019
A low-order nonconforming method for linear elasticity on general meshes. Zbl 1441.74231
Botti, Michele; Di Pietro, Daniele A.; Guglielmana, Alessandra
1
2019
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
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
18
2018
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414
Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco
14
2018
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 06910458
Cicuttin, M.; Di Pietro, D. A.; Ern, A.
12
2018
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes. Zbl 1402.65135
Boffi, Daniele; Di Pietro, Daniele A.
11
2018
A hybrid high-order method for the steady incompressible Navier-Stokes problem. Zbl 1384.76037
Di Pietro, Daniele A.; Krell, Stella
9
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.
8
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
6
2018
An introduction to hybrid high-order methods. Zbl 1416.65441
Di Pietro, Daniele Antonio; Tittarelli, Roberta
4
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
3
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
3
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
A hybrid high-order method for Leray-Lions elliptic equations on general meshes. Zbl 1364.65224
Di Pietro, Daniele A.; Droniou, Jérôme
45
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
21
2017
Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285
Di Pietro, Daniele A.; Ern, Alexandre
17
2017
A hybrid high-order method for nonlinear elasticity. Zbl 1459.65212
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
15
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
6
2017
An \(hp\)-hybrid high-order method for variable diffusion on general meshes. Zbl 1380.65244
Aghili, Joubine; Di Pietro, Daniele A.; Ruffini, Berardo
2
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
2
2017
A nonconforming high-order method for nonlinear poroelasticity. Zbl 1365.74027
Botti, Michele; Di Pietro, Daniele A.; Sochala, Pierre
2
2017
Benchmark session: the 2D hybrid high-order method. Zbl 1391.76400
Di Pietro, Daniele A.; Krell, Stella
1
2017
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
65
2016
A nonconforming high-order method for the Biot problem on general meshes. Zbl 1337.76042
Boffi, Daniele; Botti, Michele; Di Pietro, Daniele A.
22
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
14
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
9
2016
A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022
Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm
6
2016
An a posteriori-driven adaptive mixed high-order method with application to electrostatics. Zbl 1373.78041
Di Pietro, Daniele A.; Specogna, Ruben
4
2016
A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876
Di Pietro, Daniele A.; Ern, Alexandre
112
2015
Hybrid high-order methods for variable-diffusion problems on general meshes. Zbl 1308.65196
Di Pietro, Daniele A.; Ern, Alexandre
51
2015
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194
Di Pietro, Daniele A.; Droniou, Jéroôme; Ern, Alexandre
34
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
28
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.
14
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
11
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
7
2015
Equilibrated tractions for the hybrid high-order method. Zbl 1310.65143
Di Pietro, Daniele A.; Ern, Alexandre
4
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
84
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
17
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
8
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
239
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.
62
2012
Cell centered Galerkin methods for diffusive problems. Zbl 1279.65125
Di Pietro, Daniele A.
10
2012
Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Zbl 1267.65178
Di Pietro, Daniele A.; Ern, Alexandre
7
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.
26
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
2
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. 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
44
2010
The G method for heterogeneous anisotropic diffusion on general meshes. Zbl 1202.65143
Agélas, Léo; di Pietro, Daniele A.; Droniou, Jérôme
18
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
27
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.
10
2008
Compact-stencil MPFA method for heterogeneous highly anisotropic second-order elliptic problems. Zbl 1422.65325
Mundal, Sissel; Di Pietro, Daniele A.; Aavatsmark, Ivar
4
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
44
2007
Analysis of a discontinuous Galerkin approximation of the Stokes problem based on an artificial compressibility flux. Zbl 1128.76034
Di Pietro, Daniele A.
6
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.
71
2006
Mass preserving finite element implementations of the level set method. Zbl 1126.65089
Di Pietro, Daniele A.; Lo Forte, Stefania; Parolini, Nicola
17
2006
all top 5

Cited by 977 Authors

51 Di Pietro, Daniele Antonio
33 Ern, Alexandre
24 Beirão da Veiga, Lourenço
22 Bassi, Francesco
20 Vohralík, Martin
19 Droniou, Jérôme
15 Antonietti, Paola Francesca
15 Botti, Lorenzo
13 Crivellini, Andrea
12 Burman, Erik
12 Dumbser, Michael
12 Russo, Alessandro
11 Colombo, Alessandro G.
11 Mu, Lin
10 Linke, Alexander
10 Manzini, Gianmarco
10 Rivière, Beatrice M.
10 Ye, Xiu
9 Carstensen, Carsten
9 Cockburn, Bernardo
9 Houston, Paul
9 Mora, David
8 Botti, Michele
8 Dassi, Franco
8 Ghidoni, Antonio
8 Rhebergen, Sander
7 Brezzi, Franco
7 Georgoulis, Emmanuil H.
7 Lovadina, Carlo
7 Vacca, Giuseppe
7 Zhang, Shangyou
6 Cangiani, Andrea
6 Ferrer, Esteban
6 Formaggia, Luca
6 Marini, Luisa Donatella
6 Mascotto, Lorenzo
6 Park, Eun-Jae
6 Schroeder, Philipp W.
6 Sochala, Pierre
6 Tavelli, Maurizio
6 Verani, Marco
5 Brenner, Susanne Cecelia
5 Chave, Florent
5 Chung, Tsz Shun Eric
5 Cicuttin, Matteo
5 Franchina, Nicoletta
5 Fu, Guosheng
5 Larson, Mats G.
5 Lipnikov, Konstantin N.
5 Massa, Francesco Carlo
5 Meddahi, Salim
5 Moore, Stephen Edward
5 Rebay, Stefano
5 Sayas, Francisco-Javier
5 Solano, Manuel E.
5 Wang, Junping
5 Wohlmuth, Barbara I.
5 Yousef, Soleiman
5 Zhao, Lina
4 Ahmed, Elyes
4 Artioli, Edoardo
4 Berrone, Stefano
4 Bonelle, Jérôme
4 Chen, Zhangxin
4 D’Alessandro, Valerio
4 de la Llave Plata, Marta
4 Dolejší, Vít
4 Eymard, Robert
4 Feng, Minfu
4 Frolkovič, Peter
4 Giani, Stefano
4 Girault, Vivette
4 Hansbo, Peter
4 Japhet, Caroline
4 Kuzmin, Dmitri
4 Langer, Ulrich
4 Lehrenfeld, Christoph
4 Lemaire, Simon
4 Lube, Gert
4 Nigro, Alessandra
4 Nordbotten, Jan Martin
4 Peterseim, Daniel
4 Pryer, Tristan
4 Qiu, Weifeng
4 Rivera, Gonzalo
4 Rubio, Gonzalo
4 Scialò, Stefano
4 Tchelepi, Hamdi A.
4 Toulopoulos, Ioannis
4 Valero, Eusebio
4 Van Brummelen, Harald
4 Wells, Garth N.
3 Agelas, Leo
3 Aizinger, Vadym
3 Bertoluzza, Silvia
3 Bonaldi, Francesco
3 Burazin, Krešimir
3 Calo, Victor Manuel
3 Castelletto, Nicola
3 Chen, Long
...and 877 more Authors
all top 5

Cited in 77 Serials

63 Journal of Computational Physics
59 Computer Methods in Applied Mechanics and Engineering
54 Journal of Scientific Computing
53 SIAM Journal on Numerical Analysis
41 Computers and Fluids
39 Computers & Mathematics with Applications
32 SIAM Journal on Scientific Computing
29 Journal of Computational and Applied Mathematics
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 Numerische Mathematik
20 Mathematics of Computation
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Computational Methods in Applied Mathematics
12 Applied Numerical Mathematics
12 Computational Geosciences
9 Applied Mathematics and Computation
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Numerical Methods for Partial Differential Equations
7 Computational Mechanics
6 Advances in Computational Mathematics
5 Calcolo
5 GEM - International Journal on Geomathematics
4 International Journal for Numerical Methods in Fluids
4 International Journal for Numerical Methods in Engineering
3 BIT
3 Computer Aided Geometric Design
3 Applied Mathematical Modelling
3 Computing and Visualization in Science
3 Journal of Numerical Mathematics
3 SMAI Journal of Computational Mathematics
2 Inverse Problems
2 Journal of Statistical Physics
2 SIAM Journal on Control and Optimization
2 Numerical Algorithms
2 Computational and Applied Mathematics
2 ETNA. Electronic Transactions on Numerical Analysis
2 Mathematical Problems in Engineering
2 European Journal of Mechanics. B. Fluids
2 Multiscale Modeling & Simulation
2 International Journal of Numerical Analysis and Modeling
2 Results in Applied Mathematics
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 Mathematics and Computers in Simulation
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 Japan Journal of Industrial and Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 Communications in Partial Differential Equations
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 Archives of Computational Methods in Engineering
1 Discrete and Continuous Dynamical Systems. Series B
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 S\(\vec{\text{e}}\)MA Journal
1 Journal of Applied Analysis and Computation
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Electronic Research Archive
1 Water Waves

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