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Droniou, Jérôme

Co-Author Distance

Author ID:: droniou.jerome
Published as:: Droniou, Jérôme;Droniou, J.;Droniou, Jerome;Droniou, Jérome;Droniou, Jéromémore...less

Documents Indexed:

128 Publications since 2000, including2 Books and10 Additional arXiv Preprints

1 Contribution as Editor

Software Indexed:

1 Package

Co-Authors:

75 Co-Authors with 115 Joint Publications

2,033 Co-Co-Authors

all top 5

Co-Authors

14	single-authored
25	Di Pietro, Daniele Antonio
23	Eymard, Robert
14	Gallouët, Thierry
12	Masson, Roland
11	Herbin, Raphaèle
6	Bonaldi, Francesco
6	Guichard, Cindy
6	Le, Kim-Ngan
5	Cheng, Hanz Martin C.
5	Nataraj, Neela
4	Brenner, Konstantin
4	Manzini, Gianmarco
4	Shylaja, Devika
4	Talbot, Kyle S.
4	Yemm, Liam T.
3	Alnashri, Yahya Ahmad
3	Beirão da Veiga, Lourenço
3	Chainais-Hillairet, Claire
3	Lamichhane, Bishnu Prasad
3	Prignet, Alain
3	Qian, Jia Jia
3	Vovelle, Julien
2	Alfaro, Matthieu
2	Badia, Santiago
2	Botti, Lorenzo
2	Haidar, Ali
2	Hanot, Marien-Lorenzo
2	Hennicker, Julian
2	Imbert, Cyril
2	Laaziri, Mohamed
2	Oliynyk, Todd Andrew
2	Pasteau, Antoine
2	Pitassi, Silvano
2	Remesan, Gopikrishnan Chirappurathu
1	Agelas, Leo
1	Alibaud, Nathaël
1	Anderson, Daniel M.
1	Antonietti, Paola Francesca
1	Cancès, Clément
1	Chipot, Michel
1	Dahmen, Nour
1	Dassi, Franco
1	Enchéry, Guillaume
1	Ern, Alexandre
1	Faille, Isabelle
1	Feron, Pierre
1	Flegg, Jennifer A.
1	Goldys, Beniamin
1	Haile, Kirubell B.
1	Harnist, André
1	Hilhorst, Danielle
1	Hu, Kaibo
1	Ilyas, Muhammad
1	Jakobsen, Espen Robstad
1	Khan, Muhammad Awais
1	Le Potier, Christophe
1	Matano, Hiroshi
1	Medl’a, Matej
1	Mikula, Karol
1	Olivares, Manuela Bastidas
1	Planas, Gabriela
1	Pop, Iuliu Sorin
1	Porretta, Alessio
1	Quenjel, EL Houssaine
1	Radley, Thomas J.
1	Rapetti, Francesca
1	Raymond, Jean-Pierre
1	Robinson, James Cooper
1	Rogier, François
1	Trenty, Laurent
1	Tushar, Jai
1	Vazquez, Juan Luis
1	Wheeler, Glen E.
1	Wichmann, Jörn
1	Xue, Wei

all top 5

Serials

10	IMA Journal of Numerical Analysis
9	Journal of Computational Physics
7	SIAM Journal on Numerical Analysis
6	Computer Methods in Applied Mechanics and Engineering
6	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5	Numerische Mathematik
5	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4	Computers & Mathematics with Applications
4	Mathematics of Computation
4	Computational Methods in Applied Mathematics
3	Calcolo
3	Journal of Scientific Computing
2	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2	Potential Analysis
2	SIAM Journal on Scientific Computing
2	Journal of Evolution Equations
2	Foundations of Computational Mathematics
1	Archive for Rational Mechanics and Analysis
1	Czechoslovak Mathematical Journal
1	Journal of Computational and Applied Mathematics
1	Journal of Differential Equations
1	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1	SIAM Journal on Control and Optimization
1	Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1	Numerical Methods for Partial Differential Equations
1	Communications in Partial Differential Equations
1	Journal de Mathématiques Pures et Appliquées. Neuvième Série
1	SIAM Journal on Mathematical Analysis
1	Calculus of Variations and Partial Differential Equations
1	Electronic Journal of Differential Equations (EJDE)
1	NoDEA. Nonlinear Differential Equations and Applications
1	Advances in Computational Mathematics
1	Advances in Differential Equations
1	M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1	Journal of Numerical Mathematics
1	AMRX. Applied Mathematics Research eXpress
1	Analysis and Applications (Singapore)
1	Journal of Hyperbolic Differential Equations
1	Mathématiques & Applications (Berlin)
1	Networks and Heterogeneous Media
1	MS&A. Modeling, Simulation and Applications
1	Mathematics in Engineering

all top 5

Fields

99	Numerical analysis (65-XX)
57	Partial differential equations (35-XX)
34	Fluid mechanics (76-XX)
10	Mechanics of deformable solids (74-XX)
5	Optics, electromagnetic theory (78-XX)
4	Calculus of variations and optimal control; optimization (49-XX)
3	Functional analysis (46-XX)
3	Global analysis, analysis on manifolds (58-XX)
2	Algebraic geometry (14-XX)
2	Operator theory (47-XX)
2	Geophysics (86-XX)
1	General and overarching topics; collections (00-XX)
1	Potential theory (31-XX)
1	Integral equations (45-XX)
1	Differential geometry (53-XX)
1	Probability theory and stochastic processes (60-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Quantum theory (81-XX)
1	Biology and other natural sciences (92-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

104 Publications have been cited 2,238 times in1,209 Documents	Cited by ▼	Year ▼
Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319 Droniou, Jerome	178	2014
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Herbin, Raphaèle	127	2010
The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Guichard, Cindy;Herbin, Raphaèle	110	2018
The hybrid high-order method for polytopal meshes. Design, analysis, and applications. Zbl 07183616 Di Pietro, Daniele Antonio;Droniou, Jérôme	110	2020
Fractal first-order partial differential equations. Zbl 1111.35144 Droniou, Jérôme;Imbert, Cyril	105	2006
A mixed finite volume scheme for anisotropic diffusion problems on any grid. Zbl 1109.65099 Droniou, Jérôme;Eymard, Robert	99	2006
Parabolic capacity and soft measures for nonlinear equations. Zbl 1017.35040 Droniou, Jérôme;Porretta, Alessio;Prignet, Alain	83	2003
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136 Droniou, Jerome;Eymard, Robert;Gallouet, Thierry;Herbin, Raphaele	76	2013
A hybrid high-order method for Leray-Lions elliptic equations on general meshes. Zbl 1364.65224 Di Pietro, Daniele A.;Droniou, Jérôme	75	2017
Construction and convergence study of schemes preserving the elliptic local maximum principle. Zbl 1227.65100 Droniou, Jérôme;le Potier, Christophe	72	2011
Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data. Zbl 1151.35045 Droniou, Jérôme;Prignet, Alain	69	2007
Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123 Droniou, J.;Gallouët, T.;Vovelle, J.	61	2003
Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038 Alibaud, Nathaël;Droniou, Jéromé;Vovelle, Julien	54	2007
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194 Di Pietro, Daniele A.;Droniou, Jérôme;Ern, Alexandre	52	2015
Non-coercive linear elliptic problems. Zbl 1161.35362 Droniou, Jérôme	43	2002
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414 Di Pietro, Daniele A.;Droniou, Jérôme;Manzini, Gianmarco	41	2018
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome;Eymard, Robert;Herbin, Raphaèle	40	2016
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. Zbl 1263.65102 Beirão da Veiga, Lourenço;Droniou, Jérôme;Manzini, Gianmarco	35	2011
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Zbl 1342.65180 Droniou, Jérôme;Eymard, Robert	33	2016
Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions. Zbl 1211.65144 Chainais-Hillairet, Claire;Droniou, Jérôme	30	2011
Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions. Zbl 1167.35342 Droniou, Jérôme;Vázquez, Juan-Luis	29	2009
The G method for heterogeneous anisotropic diffusion on general meshes. Zbl 1202.65143 Agélas, Léo;di Pietro, Daniele A.;Droniou, Jérôme	29	2010
\(W^{s,p}\)-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	28	2017
A numerical method for fractal conservation laws. Zbl 1201.65163 Droniou, Jérôme	27	2010
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. Zbl 1459.65215 Di Pietro, Daniele A.;Droniou, Jérôme	26	2018
Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Zbl 1153.76044 Droniou, Jérôme;Eymard, Robert	25	2009
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	25	2018
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127 Droniou, Jérôme;Gallouët, Thierry;Herbin, Raphaèle	22	2003
Convergence analysis of a mixed finite volume scheme for an elliptic-parabolic system modeling miscible fluid flows in porous media. Zbl 1146.76034 Chainais-Hillairet, Claire;Droniou, Jérôme	22	2007
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. Zbl 1507.76093 Beirão da Veiga, Lourenço;Dassi, Franco;Di Pietro, Daniele A.;Droniou, Jérôme	21	2022
Solving convection-diffusion equations with mixed, Neumann and Fourier boundary conditions and measures as data, by a duality method. Zbl 1213.35204 Droniou, Jérôme	20	2000
Optimal pointwise control of semilinear parabolic equations. Zbl 0939.49005 Droniou, J.;Raymond, J.-P.	19	2000
An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256 Droniou, J.;Eymard, R.;Gallouët, T.;Guichard, C.;Herbin, R.	19	2017
Finite volume schemes for fully nonlinear elliptic equations in divergence form. Zbl 1117.65154 Droniou, Jérôme	19	2006
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. Zbl 1451.65173 Di Pietro, Daniele A.;Droniou, Jérôme;Rapetti, Francesca	19	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	17	2019
An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency. Zbl 1512.65263 Di Pietro, Daniele A.;Droniou, Jérôme	16	2023
Improved \(L^2\) estimate for gradient schemes and super-convergence of the TPFA finite volume scheme. Zbl 1477.65174 Droniou, Jérôme;Nataraj, Neela	16	2018
Robust hybrid high-order method on polytopal meshes with small faces. Zbl 1482.65204 Droniou, Jérôme;Yemm, Liam	15	2022
Convergence in \(C([0,T];L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations. Zbl 1386.35176 Droniou, Jérôme;Eymard, Robert;Talbot, Kyle S.	13	2016
Vanishing non-local regularization of a scalar conservation law. Zbl 1039.35061 Droniou, Jérôme	13	2003
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence. Zbl 07500728 Di Pietro, Daniele A.;Droniou, Jérôme	13	2021
Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods. Zbl 1368.65101 Alnashri, Yahya;Droniou, Jérôme	11	2016
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. Zbl 1524.76443 Bonaldi, Francesco;Brenner, Konstantin;Droniou, Jérôme;Masson, Roland	11	2021
Gradient schemes for linear and non-linear elasticity equations. Zbl 1309.74068 Droniou, Jérôme;Lamichhane, Bishnu P.	11	2015
An arbitrary-order scheme on generic meshes for miscible displacements in porous media. Zbl 1395.65068 Anderson, Daniel;Droniou, Jérôme	11	2018
On a miscible displacement model in porous media flow with measure data. Zbl 1323.35100 Droniou, Jérôme;Talbot, Kyle S.	10	2014
Gradient schemes for Stokes problem. Zbl 1433.76080 Droniou, Jérôme;Eymard, Robert;Feron, Pierre	9	2016
A mixed finite element method for a sixth-order elliptic problem. Zbl 1465.65133 Droniou, Jérôme;Ilyas, Muhammad;Lamichhane, Bishnu P.;Wheeler, Glen E.	9	2019
Numerical analysis of a two-phase flow discrete fracture matrix model. Zbl 1412.65103 Droniou, Jérôme;Hennicker, Julian;Masson, Roland	8	2019
Improved error estimates for hybrid high-order discretizations of Leray-Lions problems. Zbl 1471.65176 Pietro, Daniele A. Di;Droniou, Jérôme;Harnist, André	8	2021
Global and local estimates for nonlinear noncoercive elliptic equations with measure data. Zbl 1094.35046 Droniou, Jérôme	8	2003
A density result in Sobolev spaces. Zbl 1033.46029 Droniou, Jérôme	8	2002
Finite volume methods for convection-diffusion equations with right-hand side in \(H^{-1}\). Zbl 1070.65566 Droniou, Jérôme;Gallouët, Thierry	8	2002
Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. Zbl 1439.35392 Chipot, Michel;Droniou, Jérôme;Planas, Gabriela;Robinson, James C.;Xue, Wei	8	2020
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. Zbl 07518076 Bonaldi, Francesco;Droniou, Jérôme;Masson, Roland;Pasteau, Antoine	7	2022
A gradient discretization method to analyze numerical schemes for nonlinear variational inequalities, application to the seepage problem. Zbl 1397.35108 Alnashri, Yahya;Droniou, Jérôme	7	2018
Remarks on discretizations of convection terms in hybrid mimetic mixed methods. Zbl 1260.76017 Droniou, Jérôme	7	2010
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. Zbl 1482.65180 Bonaldi, Francesco;Brenner, Konstantin;Droniou, Jérôme;Masson, Roland;Pasteau, Antoine;Trenty, Laurent	7	2021
A uniqueness result for quasilinear elliptic equations with measures as data. Zbl 1086.35039 Droniou, J.;Gallouët, T.	6	2001
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. Zbl 1029.65124 Droniou, J.	6	2003
Uniform-in-time convergence of numerical schemes for a two-phase discrete fracture model. Zbl 1391.76538 Droniou, J.;Hennicker, J.;Masson, R.	6	2017
An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. Zbl 1053.35015 Droniou, J.;Imbert, C.;Vovelle, J.	6	2004
A uniformly converging scheme for fractal conservation laws. Zbl 1298.65135 Droniou, Jérôme;Jakobsen, Espen R.	6	2014
A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. Zbl 1524.74415 Di Pietro, Daniele A.;Droniou, Jérôme	6	2022
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. Zbl 1516.65127 Di Pietro, Daniele A.;Droniou, Jérôme	6	2023
The gradient discretization method for optimal control problems, with superconvergence for nonconforming finite elements and mixed-hybrid mimetic finite differences. Zbl 1375.49005 Droniou, Jérome;Nataraj, Neela;Shylaja, Devika	5	2017
The asymmetric gradient discretisation method. Zbl 1372.65292 Droniou, J.;Eymard, R.	5	2017
High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116 Droniou, Jerome;Eymard, Robert	5	2020
The Hessian discretisation method for fourth order linear elliptic equations. Zbl 1418.35125 Droniou, Jérôme;Lamichhane, Bishnu P.;Shylaja, Devika	5	2019
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator. Zbl 1514.65010 Droniou, Jérôme;Goldys, Beniamin;Le, Kim-Ngan	4	2022
Total velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure. Zbl 07524714 Brenner, K.;Masson, R.;Quenjel, E. H.;Droniou, J.	4	2022
Interplay between diffusion anisotropy and mesh skewness in hybrid high-order schemes. Zbl 1454.65140 Droniou, Jerome	4	2020
General fractal conservation laws arising from a model of detonations in gases. Zbl 1247.35171 Alfaro, Matthieu;Droniou, Jérôme	4	2012
Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109 Droniou, Jérôme;Eymard, Robert;Prignet, Alain;Talbot, Kyle S.	4	2019
Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media. Zbl 1426.65133 Cheng, Hanz Martin;Droniou, Jérôme;Le, Kim-Ngan	4	2019
Uniform-in-time convergence of numerical schemes for Richards’ and Stefan’s models. Zbl 1298.65134 Droniou, Jérôme;Eymard, Robert;Guichard, Cindy	4	2014
Conditioning of a hybrid high-order scheme on meshes with small faces. Zbl 1492.65299 Badia, Santiago;Droniou, Jérôme;Yemm, Liam	4	2022
A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix-fracture interfaces. Zbl 1539.74255 Droniou, Jérôme;Enchéry, Guillaume;Faille, Isabelle;Haidar, Ali;Masson, Roland	3	2024
A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics. Zbl 07536760 Dahmen, Nour;Droniou, Jérôme;Rogier, François	3	2022
Fractal conservation laws: global smooth solutions and vanishing regularization. Zbl 1085.35098 Droniou, Jérôme	3	2005
Use of the mixed finite volume method. Zbl 1374.76123 Chainais-Hillairet, C.;Droniou, J.;Eymard, R.	3	2008
Gradient schemes for an obstacle problem. Zbl 1394.65046 Alnashri, Yahya;Droniou, Jerome	3	2014
Cohomology of the discrete de Rham complex on domains of general topology. Zbl 1518.65128 Di Pietro, Daniele A.;Droniou, Jérôme;Pitassi, Silvano	3	2023
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. Zbl 1503.74107 Di Pietro, Daniele A.;Droniou, Jérôme	3	2023
Numerical solution of a two dimensional tumour growth model with moving boundary. Zbl 1451.35232 Droniou, Jérôme;Flegg, Jennifer A.;Remesan, Gopikrishnan C.	2	2020
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. Zbl 1466.35176 Droniou, Jérome;Nataraj, Neela;Shylaja, Devika	2	2021
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. Zbl 1453.65389 Droniou, Jérôme;Medla, Matej;Mikula, Karol	2	2019
The gradient discretization method for slow and fast diffusion porous media equations. Zbl 1447.65048 Droniou, Jérôme;Le, Kim-Ngan	2	2020
The gradient discretisation method for linear advection problems. Zbl 1451.65175 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Herbin, Raphaèle	2	2020
A unified analysis of elliptic problems with various boundary conditions and their approximation. Zbl 1513.65498 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Herbin, Raphaèle	2	2020
Convergence of a finite-volume mixed finite-element method for an elliptic-hyperbolic system. Zbl 1040.76034 Droniou, J.;Eymard, R.;Hilhorst, D.;Zhou, X. D.	2	2003
Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature. Zbl 1262.35039 Alfaro, Matthieu;Droniou, Jérôme;Matano, Hiroshi	2	2012
Combining the hybrid mimetic mixed method and the Eulerian Lagrangian localised adjoint method for approximating miscible flows in porous media. Zbl 1365.76302 Cheng, Hanz Martin;Droniou, Jérôme	2	2017
A pressure-robust discrete de Rham scheme for the Navier-Stokes equations. Zbl 1539.76106 Di Pietro, Daniele A.;Droniou, Jérôme;Qian, Jia Jia	2	2024
Convergence analysis of a numerical scheme for a tumour growth model. Zbl 07524713 Droniou, Jérôme;Nataraj, Neela;Remesan, Gopikrishnan C.	1	2022
A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. Zbl 07660328 Droniou, Jérôme;Oliynyk, Todd A.;Qian, Jia Jia	1	2023
Benchmark: two hybrid mimetic mixed schemes for the lid-driven cavity. Zbl 1391.76319 Droniou, Jérôme;Eymard, Robert	1	2017
Error estimates for the gradient discretisation method on degenerate parabolic equations of porous medium type. Zbl 1470.76097 Cancès, Clément;Droniou, Jérôme;Guichard, Cindy;Manzini, Gianmarco;Olivares, Manuela Bastidas;Pop, Iuliu Sorin	1	2021
A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs. Zbl 1481.65170 Cheng, Hanz Martin;Droniou, Jérôme;Le, Kim-Ngan	1	2022
A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix-fracture interfaces. Zbl 1539.74255 Droniou, Jérôme;Enchéry, Guillaume;Faille, Isabelle;Haidar, Ali;Masson, Roland	3	2024
A pressure-robust discrete de Rham scheme for the Navier-Stokes equations. Zbl 1539.76106 Di Pietro, Daniele A.;Droniou, Jérôme;Qian, Jia Jia	2	2024
An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency. Zbl 1512.65263 Di Pietro, Daniele A.;Droniou, Jérôme	16	2023
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. Zbl 1516.65127 Di Pietro, Daniele A.;Droniou, Jérôme	6	2023
Cohomology of the discrete de Rham complex on domains of general topology. Zbl 1518.65128 Di Pietro, Daniele A.;Droniou, Jérôme;Pitassi, Silvano	3	2023
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. Zbl 1503.74107 Di Pietro, Daniele A.;Droniou, Jérôme	3	2023
A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations. Zbl 07660328 Droniou, Jérôme;Oliynyk, Todd A.;Qian, Jia Jia	1	2023
A polytopal method for the Brinkman problem robust in all regimes. Zbl 1539.76105 Di Pietro, Daniele A.;Droniou, Jérôme	1	2023
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes. Zbl 1507.76093 Beirão da Veiga, Lourenço;Dassi, Franco;Di Pietro, Daniele A.;Droniou, Jérôme	21	2022
Robust hybrid high-order method on polytopal meshes with small faces. Zbl 1482.65204 Droniou, Jérôme;Yemm, Liam	15	2022
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. Zbl 07518076 Bonaldi, Francesco;Droniou, Jérôme;Masson, Roland;Pasteau, Antoine	7	2022
A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. Zbl 1524.74415 Di Pietro, Daniele A.;Droniou, Jérôme	6	2022
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator. Zbl 1514.65010 Droniou, Jérôme;Goldys, Beniamin;Le, Kim-Ngan	4	2022
Total velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure. Zbl 07524714 Brenner, K.;Masson, R.;Quenjel, E. H.;Droniou, J.	4	2022
Conditioning of a hybrid high-order scheme on meshes with small faces. Zbl 1492.65299 Badia, Santiago;Droniou, Jérôme;Yemm, Liam	4	2022
A cost-effective nonlinear extremum-preserving finite volume scheme for highly anisotropic diffusion on Cartesian grids, with application to radiation belt dynamics. Zbl 07536760 Dahmen, Nour;Droniou, Jérôme;Rogier, François	3	2022
Convergence analysis of a numerical scheme for a tumour growth model. Zbl 07524713 Droniou, Jérôme;Nataraj, Neela;Remesan, Gopikrishnan C.	1	2022
A combined GDM-ELLAM-MMOC scheme for advection dominated PDEs. Zbl 1481.65170 Cheng, Hanz Martin;Droniou, Jérôme;Le, Kim-Ngan	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	13	2021
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. Zbl 1524.76443 Bonaldi, Francesco;Brenner, Konstantin;Droniou, Jérôme;Masson, Roland	11	2021
Improved error estimates for hybrid high-order discretizations of Leray-Lions problems. Zbl 1471.65176 Pietro, Daniele A. Di;Droniou, Jérôme;Harnist, André	8	2021
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. Zbl 1482.65180 Bonaldi, Francesco;Brenner, Konstantin;Droniou, Jérôme;Masson, Roland;Pasteau, Antoine;Trenty, Laurent	7	2021
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models. Zbl 1466.35176 Droniou, Jérome;Nataraj, Neela;Shylaja, Devika	2	2021
Error estimates for the gradient discretisation method on degenerate parabolic equations of porous medium type. Zbl 1470.76097 Cancès, Clément;Droniou, Jérôme;Guichard, Cindy;Manzini, Gianmarco;Olivares, Manuela Bastidas;Pop, Iuliu Sorin	1	2021
The hybrid high-order method for polytopal meshes. Design, analysis, and applications. Zbl 07183616 Di Pietro, Daniele Antonio;Droniou, Jérôme	110	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	19	2020
Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. Zbl 1439.35392 Chipot, Michel;Droniou, Jérôme;Planas, Gabriela;Robinson, James C.;Xue, Wei	8	2020
High-order mass-lumped schemes for nonlinear degenerate elliptic equations. Zbl 1447.65116 Droniou, Jerome;Eymard, Robert	5	2020
Interplay between diffusion anisotropy and mesh skewness in hybrid high-order schemes. Zbl 1454.65140 Droniou, Jerome	4	2020
Numerical solution of a two dimensional tumour growth model with moving boundary. Zbl 1451.35232 Droniou, Jérôme;Flegg, Jennifer A.;Remesan, Gopikrishnan C.	2	2020
The gradient discretization method for slow and fast diffusion porous media equations. Zbl 1447.65048 Droniou, Jérôme;Le, Kim-Ngan	2	2020
The gradient discretisation method for linear advection problems. Zbl 1451.65175 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Herbin, Raphaèle	2	2020
A unified analysis of elliptic problems with various boundary conditions and their approximation. Zbl 1513.65498 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Herbin, Raphaèle	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	17	2019
A mixed finite element method for a sixth-order elliptic problem. Zbl 1465.65133 Droniou, Jérôme;Ilyas, Muhammad;Lamichhane, Bishnu P.;Wheeler, Glen E.	9	2019
Numerical analysis of a two-phase flow discrete fracture matrix model. Zbl 1412.65103 Droniou, Jérôme;Hennicker, Julian;Masson, Roland	8	2019
The Hessian discretisation method for fourth order linear elliptic equations. Zbl 1418.35125 Droniou, Jérôme;Lamichhane, Bishnu P.;Shylaja, Devika	5	2019
Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109 Droniou, Jérôme;Eymard, Robert;Prignet, Alain;Talbot, Kyle S.	4	2019
Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media. Zbl 1426.65133 Cheng, Hanz Martin;Droniou, Jérôme;Le, Kim-Ngan	4	2019
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling. Zbl 1453.65389 Droniou, Jérôme;Medla, Matej;Mikula, Karol	2	2019
The gradient discretisation method. Zbl 1435.65005 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Guichard, Cindy;Herbin, Raphaèle	110	2018
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414 Di Pietro, Daniele A.;Droniou, Jérôme;Manzini, Gianmarco	41	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	26	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	25	2018
Improved \(L^2\) estimate for gradient schemes and super-convergence of the TPFA finite volume scheme. Zbl 1477.65174 Droniou, Jérôme;Nataraj, Neela	16	2018
An arbitrary-order scheme on generic meshes for miscible displacements in porous media. Zbl 1395.65068 Anderson, Daniel;Droniou, Jérôme	11	2018
A gradient discretization method to analyze numerical schemes for nonlinear variational inequalities, application to the seepage problem. Zbl 1397.35108 Alnashri, Yahya;Droniou, Jérôme	7	2018
Numerical analysis for the pure Neumann control problem using the gradient discretisation method. Zbl 1415.49003 Droniou, Jérome;Nataraj, Neela;Shylaja, Devika	1	2018
Analysis of miscible displacement through porous media with vanishing molecular diffusion and singular wells. Zbl 1390.35265 Droniou, Jérôme;Talbot, Kyle S.	1	2018
A hybrid high-order method for Leray-Lions elliptic equations on general meshes. Zbl 1364.65224 Di Pietro, Daniele A.;Droniou, Jérôme	75	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	28	2017
An error estimate for the approximation of linear parabolic equations by the gradient discretization method. Zbl 1372.65256 Droniou, J.;Eymard, R.;Gallouët, T.;Guichard, C.;Herbin, R.	19	2017
Uniform-in-time convergence of numerical schemes for a two-phase discrete fracture model. Zbl 1391.76538 Droniou, J.;Hennicker, J.;Masson, R.	6	2017
The gradient discretization method for optimal control problems, with superconvergence for nonconforming finite elements and mixed-hybrid mimetic finite differences. Zbl 1375.49005 Droniou, Jérome;Nataraj, Neela;Shylaja, Devika	5	2017
The asymmetric gradient discretisation method. Zbl 1372.65292 Droniou, J.;Eymard, R.	5	2017
Combining the hybrid mimetic mixed method and the Eulerian Lagrangian localised adjoint method for approximating miscible flows in porous media. Zbl 1365.76302 Cheng, Hanz Martin;Droniou, Jérôme	2	2017
Benchmark: two hybrid mimetic mixed schemes for the lid-driven cavity. Zbl 1391.76319 Droniou, Jérôme;Eymard, Robert	1	2017
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome;Eymard, Robert;Herbin, Raphaèle	40	2016
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. Zbl 1342.65180 Droniou, Jérôme;Eymard, Robert	33	2016
Convergence in \(C([0,T];L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations. Zbl 1386.35176 Droniou, Jérôme;Eymard, Robert;Talbot, Kyle S.	13	2016
Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods. Zbl 1368.65101 Alnashri, Yahya;Droniou, Jérôme	11	2016
Gradient schemes for Stokes problem. Zbl 1433.76080 Droniou, Jérôme;Eymard, Robert;Feron, Pierre	9	2016
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194 Di Pietro, Daniele A.;Droniou, Jérôme;Ern, Alexandre	52	2015
Gradient schemes for linear and non-linear elasticity equations. Zbl 1309.74068 Droniou, Jérôme;Lamichhane, Bishnu P.	11	2015
Finite volume schemes for diffusion equations: introduction to and review of modern methods. Zbl 1291.65319 Droniou, Jerome	178	2014
On a miscible displacement model in porous media flow with measure data. Zbl 1323.35100 Droniou, Jérôme;Talbot, Kyle S.	10	2014
A uniformly converging scheme for fractal conservation laws. Zbl 1298.65135 Droniou, Jérôme;Jakobsen, Espen R.	6	2014
Uniform-in-time convergence of numerical schemes for Richards’ and Stefan’s models. Zbl 1298.65134 Droniou, Jérôme;Eymard, Robert;Guichard, Cindy	4	2014
Gradient schemes for an obstacle problem. Zbl 1394.65046 Alnashri, Yahya;Droniou, Jerome	3	2014
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations. Zbl 1281.65136 Droniou, Jerome;Eymard, Robert;Gallouet, Thierry;Herbin, Raphaele	76	2013
General fractal conservation laws arising from a model of detonations in gases. Zbl 1247.35171 Alfaro, Matthieu;Droniou, Jérôme	4	2012
Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature. Zbl 1262.35039 Alfaro, Matthieu;Droniou, Jérôme;Matano, Hiroshi	2	2012
Construction and convergence study of schemes preserving the elliptic local maximum principle. Zbl 1227.65100 Droniou, Jérôme;le Potier, Christophe	72	2011
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. Zbl 1263.65102 Beirão da Veiga, Lourenço;Droniou, Jérôme;Manzini, Gianmarco	35	2011
Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions. Zbl 1211.65144 Chainais-Hillairet, Claire;Droniou, Jérôme	30	2011
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Zbl 1191.65142 Droniou, Jérôme;Eymard, Robert;Gallouët, Thierry;Herbin, Raphaèle	127	2010
The G method for heterogeneous anisotropic diffusion on general meshes. Zbl 1202.65143 Agélas, Léo;di Pietro, Daniele A.;Droniou, Jérôme	29	2010
A numerical method for fractal conservation laws. Zbl 1201.65163 Droniou, Jérôme	27	2010
Remarks on discretizations of convection terms in hybrid mimetic mixed methods. Zbl 1260.76017 Droniou, Jérôme	7	2010
Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions. Zbl 1167.35342 Droniou, Jérôme;Vázquez, Juan-Luis	29	2009
Study of the mixed finite volume method for Stokes and Navier-Stokes equations. Zbl 1153.76044 Droniou, Jérôme;Eymard, Robert	25	2009
Use of the mixed finite volume method. Zbl 1374.76123 Chainais-Hillairet, C.;Droniou, J.;Eymard, R.	3	2008
A recipe to couple two finite volume schemes for elliptic problems. Zbl 1422.65339 Droniou, Jérôme	1	2008
Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data. Zbl 1151.35045 Droniou, Jérôme;Prignet, Alain	69	2007
Occurrence and non-appearence of shocks in fractal Burgers equations. Zbl 1144.35038 Alibaud, Nathaël;Droniou, Jéromé;Vovelle, Julien	54	2007
Convergence analysis of a mixed finite volume scheme for an elliptic-parabolic system modeling miscible fluid flows in porous media. Zbl 1146.76034 Chainais-Hillairet, Claire;Droniou, Jérôme	22	2007
Fractal first-order partial differential equations. Zbl 1111.35144 Droniou, Jérôme;Imbert, Cyril	105	2006
A mixed finite volume scheme for anisotropic diffusion problems on any grid. Zbl 1109.65099 Droniou, Jérôme;Eymard, Robert	99	2006
Finite volume schemes for fully nonlinear elliptic equations in divergence form. Zbl 1117.65154 Droniou, Jérôme	19	2006
Fractal conservation laws: global smooth solutions and vanishing regularization. Zbl 1085.35098 Droniou, Jérôme	3	2005
An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. Zbl 1053.35015 Droniou, J.;Imbert, C.;Vovelle, J.	6	2004
Parabolic capacity and soft measures for nonlinear equations. Zbl 1017.35040 Droniou, Jérôme;Porretta, Alessio;Prignet, Alain	83	2003
Global solution and smoothing effect for a non-local regularization of a hyperbolic equation. Zbl 1036.35123 Droniou, J.;Gallouët, T.;Vovelle, J.	61	2003
A finite volume scheme for a noncoercive elliptic equation with measure data. Zbl 1058.65127 Droniou, Jérôme;Gallouët, Thierry;Herbin, Raphaèle	22	2003
Vanishing non-local regularization of a scalar conservation law. Zbl 1039.35061 Droniou, Jérôme	13	2003
Global and local estimates for nonlinear noncoercive elliptic equations with measure data. Zbl 1094.35046 Droniou, Jérôme	8	2003
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. Zbl 1029.65124 Droniou, J.	6	2003
Convergence of a finite-volume mixed finite-element method for an elliptic-hyperbolic system. Zbl 1040.76034 Droniou, J.;Eymard, R.;Hilhorst, D.;Zhou, X. D.	2	2003
Non-coercive linear elliptic problems. Zbl 1161.35362 Droniou, Jérôme	43	2002
A density result in Sobolev spaces. Zbl 1033.46029 Droniou, Jérôme	8	2002
...and 4 more Documents

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Cited by 1,497 Authors

75	Droniou, Jérôme
62	Di Pietro, Daniele Antonio
38	Yuan, Guangwei
37	Manzini, Gianmarco
30	Beirão da Veiga, Lourenço
28	Eymard, Robert
27	Ern, Alexandre
25	Antonietti, Paola Francesca
25	Masson, Roland
24	Sheng, Zhiqiang
17	Abdellaoui, Mohammed Amin
17	Cancès, Clément
17	Redwane, Hicham
16	Gallouët, Thierry
16	Quenjel, EL Houssaine
15	Wu, Jiming
14	Brenner, Konstantin
14	Dassi, Franco
14	Herbin, Raphaèle
13	Bradji, Abdallah
13	Brezzi, Franco
13	Verani, Marco
12	Klimsiak, Tomasz
12	Russo, Alessandro
11	Botti, Michele
11	Chainais-Hillairet, Claire
11	Guibé, Olivier
11	Jakobsen, Espen Robstad
11	Vacca, Giuseppe
10	Guichard, Cindy
10	Krell, Stella
10	Lipnikov, Konstantin N.
10	Marini, Luisa Donatella
10	Saad, Mazen
9	Alnashri, Yahya Ahmad
9	Petitta, Francesco
9	Shylaja, Devika
8	Bonaldi, Francesco
8	Botti, Lorenzo
8	Carstensen, Carsten
8	Cheng, Hanz Martin C.
8	del Teso, Félix
8	Le Potier, Christophe
8	Mercaldo, Anna
8	Rhoudaf, Mohamed
8	Su, Shuai
8	Vassilevski, Yuri V.
7	Azroul, Elhoussine
7	Fuhrmann, Jürgen
7	Karch, Grzegorz
7	Lemaire, Simon
7	Marah, Amine
7	Porretta, Alessio
7	Vohralík, Martin
7	Zhan, Huashui
6	Andreianov, Boris
6	Castelletto, Nicola
6	Chave, Florent
6	Endal, Jørgen
6	Miao, Shuai
6	Mora, David
6	Mu, Lin
6	Nabet, Flore
6	Rozkosz, Andrzej
6	Rüde, Ulrich
6	Terekhov, Kirill M.
6	Tran, Ngoc Tien
6	Yemm, Liam T.
5	Abdellaoui, Boumediene
5	Adak, Dibyendu
5	Alibaud, Nathaël
5	Beaude, Laurence
5	Benkhaldoun, Fayssal
5	Betta, Maria Francesca
5	Blanc, Xavier
5	Bouharguane, Afaf
5	Burman, Erik
5	Cicuttin, Matteo
5	Cifani, Simone
5	Coatléven, Julien
5	Dotlić, Milan
5	Feng, Minfu
5	Feng, Zhaosheng
5	Flemisch, Bernd
5	Formaggia, Luca
5	Fumagalli, Alessio
5	Gyrya, Vitaliy T.
5	Hermeline, François
5	Houston, Paul
5	Imbert, Cyril
5	Kim, Hyunseok
5	Kumar, Sarvesh
5	Labourasse, Emmanuel
5	Le, Kim-Ngan
5	Lopez, Simon
5	Matalon, Pierre
5	Nataraj, Neela
5	Natarajan, Sundararajan
5	Peral Alonso, Ireneo
5	Pokorni, Boris
...and 1,397 more Authors

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Cited in 224 Serials

78	Journal of Computational Physics
63	Computers & Mathematics with Applications
54	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
52	Computer Methods in Applied Mechanics and Engineering
40	Journal of Scientific Computing
39	SIAM Journal on Numerical Analysis
35	Numerische Mathematik
26	Mathematics of Computation
25	Applied Numerical Mathematics
25	Numerical Methods for Partial Differential Equations
23	Journal of Computational and Applied Mathematics
21	Journal of Differential Equations
20	Computational Methods in Applied Mathematics
18	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16	Journal of Mathematical Analysis and Applications
15	Calcolo
15	SIAM Journal on Scientific Computing
15	Computational Geosciences
14	Applied Mathematics and Computation
14	Journal of Evolution Equations
14	Comptes Rendus. Mathématique. Académie des Sciences, Paris
13	International Journal for Numerical Methods in Engineering
13	Mathematics and Computers in Simulation
13	Communications in Computational Physics
10	Archive for Rational Mechanics and Analysis
9	Advances in Computational Mathematics
8	Mathematical Methods in the Applied Sciences
8	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8	SIAM Journal on Mathematical Analysis
7	Transactions of the American Mathematical Society
7	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7	Journal of Elliptic and Parabolic Equations
6	Journal of Functional Analysis
6	Potential Analysis
6	Calculus of Variations and Partial Differential Equations
6	Computational and Applied Mathematics
6	Discrete and Continuous Dynamical Systems
6	Communications in Nonlinear Science and Numerical Simulation
6	Nonlinear Analysis. Real World Applications
6	Communications on Pure and Applied Analysis
6	International Journal of Numerical Analysis and Modeling
5	Computers and Fluids
5	Mathematische Annalen
5	Monatshefte für Mathematik
5	Ricerche di Matematica
5	Applied Mathematical Modelling
5	Communications in Partial Differential Equations
5	Journal of Mathematical Sciences (New York)
5	Mediterranean Journal of Mathematics
5	Boundary Value Problems
5	SMAI Journal of Computational Mathematics
5	Results in Applied Mathematics
4	SIAM Journal on Control and Optimization
4	Chinese Annals of Mathematics. Series B
4	Applied Mathematics Letters
4	Foundations of Computational Mathematics
4	Discrete and Continuous Dynamical Systems. Series B
4	Advances in Applied Mathematics and Mechanics
4	Journal of Nonlinear Evolution Equations and Applications
4	Moroccan Journal of Pure and Applied Analysis
4	Mathematics in Engineering
3	IMA Journal of Numerical Analysis
3	International Journal for Numerical Methods in Fluids
3	Ukrainian Mathematical Journal
3	Advances in Mathematics
3	Annali di Matematica Pura ed Applicata. Serie Quarta
3	Journal of the London Mathematical Society. Second Series
3	Journal of Optimization Theory and Applications
3	Le Matematiche
3	Results in Mathematics
3	Journal of Computational Mathematics
3	Physica D
3	Computational Mechanics
3	Journal de Mathématiques Pures et Appliquées. Neuvième Série
3	Stochastic Processes and their Applications
3	NoDEA. Nonlinear Differential Equations and Applications
3	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3	Journal of Inequalities and Applications
3	Communications in Contemporary Mathematics
3	Lobachevskii Journal of Mathematics
3	Advanced Nonlinear Studies
3	Journal of Numerical Mathematics
3	Networks and Heterogeneous Media
3	Discrete and Continuous Dynamical Systems. Series S
3	Advances in Calculus of Variations
3	GEM - International Journal on Geomathematics
3	S\(\vec{\text{e}}\)MA Journal
3	Advances in Operator Theory
3	AIMS Mathematics
3	International Journal on Finite Volumes
2	Applicable Analysis
2	Bulletin of the Australian Mathematical Society
2	Communications in Mathematical Physics
2	Computer Physics Communications
2	Indian Journal of Pure & Applied Mathematics
2	Inverse Problems
2	Journal of Mathematical Physics
2	BIT
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Cited in 44 Fields

775	Numerical analysis (65-XX)
752	Partial differential equations (35-XX)
352	Fluid mechanics (76-XX)
98	Mechanics of deformable solids (74-XX)
56	Probability theory and stochastic processes (60-XX)
48	Calculus of variations and optimal control; optimization (49-XX)
33	Functional analysis (46-XX)
31	Operator theory (47-XX)
30	Real functions (26-XX)
28	Optics, electromagnetic theory (78-XX)
25	Geophysics (86-XX)
25	Biology and other natural sciences (92-XX)
19	Statistical mechanics, structure of matter (82-XX)
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17	Integral equations (45-XX)
14	Potential theory (31-XX)
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11	Global analysis, analysis on manifolds (58-XX)
9	Systems theory; control (93-XX)
7	Several complex variables and analytic spaces (32-XX)
7	Computer science (68-XX)
6	Ordinary differential equations (34-XX)
6	Dynamical systems and ergodic theory (37-XX)
6	Approximations and expansions (41-XX)
5	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4	Convex and discrete geometry (52-XX)
3	General and overarching topics; collections (00-XX)
3	Differential geometry (53-XX)
3	Mechanics of particles and systems (70-XX)
3	Information and communication theory, circuits (94-XX)
2	Algebraic geometry (14-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Special functions (33-XX)
2	Difference and functional equations (39-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	Quantum theory (81-XX)
2	Astronomy and astrophysics (85-XX)
2	Operations research, mathematical programming (90-XX)
1	History and biography (01-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Topological groups, Lie groups (22-XX)
1	Integral transforms, operational calculus (44-XX)
1	Statistics (62-XX)

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Cited in 224 Serials

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