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European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis

Short Title: ESAIM, Math. Model. Numer. Anal.
Parallel Title: ESAIM. Modélisation Mathématique et Analyse Numérique
Publisher: EDP Sciences, Les Ulis; Société de Mathématiques Appliquées et Industrielles (SMAI), Institut Henri Poincaré, Paris
ISSN: 0764-583X; 1290-3841/e
Online: http://www.esaim-m2an.org/component/issues/?task=all&Itemid=121
http://www.numdam.org/journals/M2AN
Predecessor: M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,423 Publications (since 2005)
References Indexed: 1,031 Publications with 37,089 References.
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Latest Issues

58, No. 4 (2024)
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...and 17 more Volumes
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Authors

19 Ern, Alexandre
18 Shu, Chi-Wang
13 Gatica, Gabriel N.
11 Kunisch, Karl
11 Schwab, Christoph
11 Süli, Endre E.
10 Bernardi, Christine
10 Burman, Erik
10 Hérard, Jean-Marc
9 Barrett, John William
9 Herbin, Raphaèle
9 Nicaise, Serge
8 Cohen, Albert
8 Eymard, Robert
8 Joly, Patrick
8 Legoll, Frédéric
8 Lelièvre, Tony
8 Maday, Yvon
8 Nazarov, Sergeĭ Aleksandrovich
8 Ortner, Christoph
7 Bartels, Sören
7 Beirão da Veiga, Lourenço
7 Di Pietro, Daniele Antonio
7 Fernández, Jose Ramon
7 Latché, Jean-Claude
7 Nataraj, Neela
7 Omnes, Pascal
7 Quarteroni, Alfio M.
7 Vohralík, Martin
7 Yotov, Ivan
6 Chabassier, Juliette
6 Ciarlet, Patrick jun.
6 Dahmen, Wolfgang A.
6 Flåtten, Tore
6 Girault, Vivette
6 Hesthaven, Jan S.
6 Kurganov, Alexander
6 Målqvist, Axel
6 Nobile, Fabio
6 Oyarzúa, Ricardo
6 Perugia, Ilaria
6 Renard, Yves
6 Rodríguez, Rodolfo
6 Sainte-Marie, Jacques
6 Salgado, Abner J.
6 Schneider, Reinhold
6 Seguin, Nicolas
6 Vexler, Boris
6 Xu, Xuejun
6 Zou, Jun
5 Antonietti, Paola Francesca
5 Bachmayr, Markus
5 Ben Belgacem, Faker
5 Bonito, Andrea
5 Carlier, Guillaume
5 Chacón Rebollo, Tomás
5 Chesnel, Lucas
5 Chrysafinos, Konstantinos
5 Clason, Christian
5 Coatléven, Julien
5 Després, Bruno
5 Droniou, Jérôme
5 Ehrlacher, Virginie
5 Fernández-Nieto, Enrique Domingo
5 Guzmán, Johnny
5 Hecht, Frédéric
5 Hild, Patrick
5 Koch, Othmar
5 Le Bris, Claude
5 Lipton, Robert P.
5 Lovadina, Carlo
5 Lozinski, Alexei
5 Lukáčová-Medviďová, Mária
5 Manzini, Gianmarco
5 Manzoni, Andrea
5 Matthies, Gunar
5 Monk, Peter B.
5 Mora, David
5 Nürnberg, Robert
5 Ohlberger, Mario
5 Praetorius, Dirk
5 Prohl, Andreas
5 Rozza, Gianluigi
5 Ruiz-Baier, Ricardo
5 Rumpf, Martin
5 Sayah, Toni
5 Stamm, Benjamin
5 Tordeux, Sébastien
5 Verani, Marco
5 Volkwein, Stefan
5 Walkington, Noel J.
5 Wohlmuth, Barbara I.
5 Yousept, Irwin
5 Zhang, Mengping
4 Altmann, Robert
4 Antoine, Xavier
4 Audusse, Emmanuel
4 Barucq, Hélène
4 Bouchut, François
4 Bourgeois, Laurent
...and 2,284 more Authors
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Fields

1,128 Numerical analysis (65-XX)
907 Partial differential equations (35-XX)
416 Fluid mechanics (76-XX)
206 Mechanics of deformable solids (74-XX)
145 Calculus of variations and optimal control; optimization (49-XX)
116 Optics, electromagnetic theory (78-XX)
86 Statistical mechanics, structure of matter (82-XX)
76 Probability theory and stochastic processes (60-XX)
74 Biology and other natural sciences (92-XX)
41 Approximations and expansions (41-XX)
40 Quantum theory (81-XX)
38 Operations research, mathematical programming (90-XX)
30 Classical thermodynamics, heat transfer (80-XX)
26 Operator theory (47-XX)
25 Ordinary differential equations (34-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Dynamical systems and ergodic theory (37-XX)
22 Integral equations (45-XX)
21 Geophysics (86-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Systems theory; control (93-XX)
19 Statistics (62-XX)
17 Real functions (26-XX)
17 Mechanics of particles and systems (70-XX)
16 Computer science (68-XX)
12 Potential theory (31-XX)
11 Information and communication theory, circuits (94-XX)
8 Special functions (33-XX)
7 General and overarching topics; collections (00-XX)
7 Integral transforms, operational calculus (44-XX)
7 Functional analysis (46-XX)
7 Differential geometry (53-XX)
6 Combinatorics (05-XX)
5 Difference and functional equations (39-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
3 Relativity and gravitational theory (83-XX)
3 Astronomy and astrophysics (85-XX)
2 Functions of a complex variable (30-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,238 Publications have been cited 16,417 times in 11,579 Documents Cited by Year
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078
Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T.
224
2007
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
218
2017
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
198
2014
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
191
2016
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
183
2008
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
165
2012
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
164
2005
Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
145
2016
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
135
2009
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
128
2016
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
118
2013
A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084
Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel
116
2012
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
114
2009
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
113
2005
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
106
2007
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
104
2009
A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
99
2014
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
98
2008
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
97
2006
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
96
2017
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
93
2014
Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes. Zbl 1094.78008
Fezoui, Loula; Lanteri, Stéphane; Lohrengel, Stéphanie; Piperno, Serge
92
2005
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
91
2016
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids. Zbl 1271.76322
D’Angelo, Carlo; Scotti, Anna
91
2012
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
90
2011
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
87
2012
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
83
2014
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
82
2019
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
79
2012
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
77
2012
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
75
2016
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
72
2011
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
70
2015
A static condensation reduced basis element method: approximation and {a posteriori} error estimation. Zbl 1276.65082
Huynh, Dinh Bao Phuong; Knezevic, David J.; Patera, Anthony T.
70
2013
Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231
Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola
69
2016
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
69
2014
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
66
2005
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
65
2013
Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040
Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas
63
2008
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
62
2010
Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors. Zbl 1381.76186
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
62
2016
{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
61
2012
Energy-preserving Runge-Kutta methods. Zbl 1169.65348
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. Reinout W.; Wright, William M.
61
2009
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
61
2014
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068
Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana
59
2011
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
58
2008
\(L^{2}\) stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods. Zbl 1152.65095
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
57
2008
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
55
2014
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
54
2015
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194
Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques
53
2011
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
52
2010
Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004
Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul
51
2015
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît
51
2013
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
50
2008
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
50
2014
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
48
2013
Analysis of a new augmented mixed finite element method for linear elasticity allowing \(\mathbb R\mathbb T_0\)-\(\mathbb P_1\)-\(\mathbb P_0\)-approximations. Zbl 1330.74155
Gatica, Gabriel N.
47
2006
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001
Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun
47
2014
Multi-marginal optimal transport: theory and applications. Zbl 1330.49050
Pass, Brendan
47
2015
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
46
2012
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433
Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude
46
2008
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
45
2009
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
45
2006
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
45
2007
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
44
2005
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
44
2015
Robust numerical approximation of coupled Stokes and Darcy’s flows applied to vascular hemodynamics and biochemical transport. Zbl 1274.92010
D’Angelo, Carlo; Zunino, Paolo
44
2011
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems. Zbl 1351.65078
Wang, Haijin; Wang, Shiping; Zhang, Qiang; Shu, Chi-Wang
44
2016
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
44
2018
A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
44
2015
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
43
2007
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
43
2019
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
42
2010
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
42
2007
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
42
2007
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
41
2013
\(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
41
2016
A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118
Elsey, Matt; Wirth, Benedikt
41
2013
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
41
2017
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
41
2008
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
40
2011
Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida
40
2008
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
40
2014
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
40
2014
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
39
2016
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
39
2015
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
39
2008
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
39
2007
Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions. Zbl 1417.65199
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André
39
2018
Exponential stability and numerical treatment for piezoelectric beams with magnetic effect. Zbl 1398.35232
Ramos, Anderson J. A.; Gonçalves, Cledson S. L.; Neto, Silvério S. Corrêa
38
2018
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003
Cancès, Eric; Chakir, Rachida; Maday, Yvon
38
2012
A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274
Mora, David; Rivera, Gonzalo; Velásquez, Iván
38
2018
A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. Zbl 1437.65149
Chen, Wenbin; Li, Weijia; Luo, Zhiwen; Wang, Cheng; Wang, Xiaoming
37
2020
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
37
2006
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009
Formaggia, Luca; Moura, Alexandra; Nobile, Fabio
37
2007
An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun
37
2015
The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048
Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc
36
2008
Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005
Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni
36
2017
A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171
Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold
36
2015
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
35
2010
A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix. Zbl 1531.65257
Yuan, Long; Hu, Qiya
1
2024
Surface boundary layers through a scalar equation with an eddy viscosity vanishing at the ground. Zbl 1536.35238
Berselli, Luigi C.; Legeais, François; Lewandowski, Roger
1
2024
A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier-Stokes and Darcy problem. Zbl 1536.65102
Cesmelioglu, Aycil; Lee, Jeonghun J.; Rhebergen, Sander
1
2024
Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction. Zbl 07902499
Cano, Begoña; Moreta, María Jesús
1
2024
Optimal design of elastic plates. Zbl 07902502
Crnjac, Ivana; Pavlović, Jelena Jankov; Kunštek, Petar
1
2024
A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. Zbl 1515.65101
Kusch, Jonas; Stammer, Pia
10
2023
New mixed finite element methods for the coupled Stokes and Poisson-Nernst-Planck equations in Banach spaces. Zbl 1522.35221
Correa, Claudio I.; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
7
2023
Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions. Zbl 1522.65127
Zhang, Hong; Qian, Xu; Xia, Jun; Song, Songhe
6
2023
Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080
Abgrall, Remi; Barsukow, Wasilij
6
2023
On the stability of strong-stability-preserving modified Patankar-Runge-Kutta schemes. Zbl 1515.65192
Huang, Juntao; Izgin, Thomas; Kopecz, Stefan; Meister, Andreas; Shu, Chi-Wang
5
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
5
2023
Convergence analysis of a local discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure. Zbl 1522.35226
Kaltenbach, Alex; Růžička, Michael
4
2023
Global existence of classical solutions and numerical simulations of a cancer invasion model. Zbl 1522.35006
Fuest, Mario; Heydari, Shahin; Knobloch, Petr; Lankeit, Johannes; Wick, Thomas
4
2023
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. Zbl 1529.65084
Sun, Jiawei; Shu, Chi-Wang; Xing, Yulong
4
2023
\(\phi\)-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. Zbl 1522.65206
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei
3
2023
A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier-Stokes equations. Zbl 1529.65099
Di, Yana; Ma, Yuheng; Shen, Jie; Zhang, Jiwei
3
2023
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. Zbl 1522.65214
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
3
2023
A study of the local dynamics of modified Patankar DeC and higher order modified Patankar-RK methods. Zbl 1525.65067
Izgin, Thomas; Öffner, Philipp
3
2023
Convergence of a scheme for an elastic flow with tangential mesh movement. Zbl 1529.65080
Pozzi, Paola; Stinner, Björn
3
2023
An EMA-conserving, pressure-robust and re-semi-robust method with a robust reconstruction method for Navier-Stokes. Zbl 1529.65076
Li, Xu; Rui, Hongxing
3
2023
Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. Zbl 1514.65096
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun
3
2023
Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise. Zbl 1515.60231
Bauzet, Caroline; Nabet, Flore; Schmitz, Kerstin; Zimmermann, Aleksandra
3
2023
Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption. Zbl 1515.91027
Dumitrescu, Roxana; Leutscher, Marcos; Tankov, Peter
3
2023
Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion. Zbl 1515.35211
Georgiadis, Stefanos; Tzavaras, Athanasios E.
3
2023
A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem. Zbl 1522.65170
Cesmelioglu, Aycil; Pham, Dinh Dong; Rhebergen, Sander
2
2023
Analysis of linearized elasticity models with point sources in weighted Sobolev spaces: applications in tissue contraction. Zbl 07739216
Boon, Wietse M.; Vermolen, Fred J.
2
2023
On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. Zbl 1515.35242
Carles, Rémi; Klein, Christian; Sparber, Christof
2
2023
Coupled-cluster theory revisited. II: Analysis of the single-reference coupled-cluster equations. Zbl 1515.81231
Csirik, Mihály A.; Laestadius, Andre
2
2023
Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source. Zbl 1514.65135
Masri, Rami; Shen, Boqian; Riviere, Beatrice
2
2023
Coupled-cluster theory revisited. I: Discretization. Zbl 1515.81232
Csirik, Mihály A.; Laestadius, Andre
2
2023
Singular versus boundary arcs for aircraft trajectory optimization in climbing phase. Zbl 1514.49013
Cots, Olivier; Gergaud, Joseph; Goubinat, Damien; Wembe, Boris
2
2023
Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. Zbl 1516.65126
Daniel, Patrik; Vohralík, Martin
2
2023
A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting. Zbl 1537.74295
Bretin, Elie; Denis, Roland; Masnou, Simon; Sengers, Arnaud; Terii, Garry
2
2023
Exponential convergence of \(hp\)-time-stepping in space-time discretizations of parabolic PDEs. Zbl 1516.65097
Perugia, Ilaria; Schwab, Christoph; Zank, Marco
2
2023
A CutFEM divergence-free discretization for the Stokes problem. Zbl 1514.65174
Liu, Haoran; Neilan, Michael; Olshanskii, Maxim
2
2023
Stable model reduction for linear variational inequalities with parameter-dependent constraints. Zbl 1515.65299
Niakh, Idrissa; Drouet, Guillaume; Ehrlacher, Virginie; Ern, Alexandre
2
2023
Optimal friction matrix for underdamped Langevin sampling. Zbl 1537.60098
Chak, Martin; Kantas, Nikolas; Lelièvre, Tony; Pavliotis, Grigorios A.
2
2023
Exponential stabilization for carbon nanotubes modeled as Timoshenko beams with thermoelastic effects. Zbl 1521.93158
Ramos, Anderson J. A.; Rincon, Mauro A.; Madureira, Rodrigo L. R.; Freitas, Mirelson M.
1
2023
Truncation errors and modified equations for the lattice Boltzmann method via the corresponding finite difference schemes. Zbl 07737656
Bellotti, Thomas
1
2023
Stability and discretization error analysis for the Cahn-Hilliard system via relative energy estimates. Zbl 1522.35019
Brunk, Aaron; Egger, Herbert; Habrich, Oliver; Lukáčová-Medviďová, Mária
1
2023
Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities. Zbl 1529.65065
Gao, Yali; He, Xiaoming; Lin, Tao; Lin, Yanping
1
2023
A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions. Zbl 1529.65124
Frei, Stefan; Judakova, Gozel; Richter, Thomas
1
2023
A homogenized model accounting for dispersion, interfaces and source points for transient waves in 1D periodic media. Zbl 1522.35038
Cornaggia, Rémi; Lombard, Bruno
1
2023
Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term. Zbl 07737663
Acosta, Claudia; Jerez, Silvia
1
2023
A posteriori error estimation and adaptivity for multiple-network poroelasticity. Zbl 07739201
Eliseussen, Emilie; Rognes, Marie Elisabeth; Thompson, Travis B.
1
2023
Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: nonlinear case. Zbl 1525.65011
Dai, Xinjie; Hong, Jialin; Sheng, Derui; Zhou, Tau
1
2023
A hybrid-DG method for singularly perturbed convection-diffusion equations on pipe networks. Zbl 07739206
Egger, Herbert; Philippi, Nora
1
2023
A posteriori error estimates for the large eddy simulation applied to incompressible fluids. Zbl 07739209
Nassreddine, Ghina; Omnes, Pascal; Sayah, Toni
1
2023
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. Zbl 1523.65090
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk
1
2023
Least squares solvers for ill-posed PDEs that are conditionally stable. Zbl 07739211
Dahmen, Wolfgang; Monsuur, Harald; Stevenson, Rob
1
2023
First-order system least-squares finite element method for singularly perturbed Darcy equations. Zbl 1522.65209
Führer, Thomas; Videman, Juha
1
2023
Discrete-time analysis of optimized Schwarz waveform relaxation with Robin parameters depending on the targeted iteration count. Zbl 07739217
Arnoult, Arthur; Japhet, Caroline; Omnes, Pascal
1
2023
Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain. Zbl 07739218
Haynes, Ronald D.; Mohammad, Khaled
1
2023
Semi-discretization and full-discretization with improved accuracy for charged-particle dynamics in a strong nonuniform magnetic field. Zbl 07739219
Wang, Bin; Jiang, Yaolin
1
2023
Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides. Zbl 1522.35491
Bécache, Éliane; Kachanovska, Maryna; Wess, Markus
1
2023
Error estimates of a theta-scheme for second-order mean field games. Zbl 1522.65137
Bonnans, J. Frédéric; Liu, Kang; Pfeiffer, Laurent
1
2023
A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes. Zbl 1523.65077
Moatti, Julien
1
2023
Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation. Zbl 1529.65096
An, Jing; Cao, Waixiang
1
2023
Quadratic stability of flux limiters. Zbl 1516.65074
Després, Bruno
1
2023
Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes. Zbl 1514.35021
Feppon, Florian; Ammari, Habib
1
2023
Developing and analyzing an explicit unconditionally stable finite element scheme for an equivalent Bérenger’s PML model. Zbl 1515.65244
Huang, Yunqing; Li, Jichun; Liu, Xin
1
2023
Erratum to: “Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs”. Zbl 07689070
Ðinh Dũng
1
2023
A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels. Zbl 1524.76239
Chen, Yiming; Kurganov, Alexander; Na, Mingye
1
2023
A posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations. Zbl 1515.65127
Ciarlet, Patrick; Do, Minh Hieu; Madiot, François
1
2023
Optimal geometric multigrid preconditioners for HDG-P0 schemes for the reaction-diffusion equation and the generalized Stokes equations. Zbl 1529.65125
Fu, Guosheng; Kuang, Wenzheng
1
2023
Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system. Zbl 1528.65059
Herda, Maxime; Zurek, Antoine
1
2023
A staggered projection scheme for viscoelastic flows. Zbl 1522.35392
Mokhtari, Omar; Davit, Yohan; Latché, Jean-Claude; Quintard, Michel
1
2023
Optimal convergence rates in \(L^2\) for a first order system least squares finite element method. I: Homogeneous boundary conditions. Zbl 1516.65123
Bernkopf, Maximilian; Melenk, Jens Markus
1
2023
Asymptotic-numerical solvers for linear neutral delay differential equations with high-frequency extrinsic oscillations. Zbl 1518.34071
El Bhira, Hajar Ait; Kzaz, Mustapha; Maach, Fatna
1
2023
Analysis of an HDG method for the Navier-Stokes equations with Dirac measures. Zbl 1516.65135
Leng, Haitao
1
2023
3D diffeomorphic image registration with Cauchy-Riemann constraint and lower bounded deformation divergence. Zbl 1515.65075
Han, Huan; Wang, Zhengping
1
2023
Discrete elasticity exact sequences on Worsey-Farin splits. Zbl 1531.65238
Gong, Sining; Gopalakrishnan, Jay; Guzmán, Johnny; Neilan, Michael
1
2023
A fully discrete finite element method for a constrained transport model of the incompressible MHD equations. Zbl 1530.65126
Zhang, Xiaodi; Su, Haiyan; Li, Xianzhu
1
2023
Time-explicit hybrid high-order method for the nonlinear acoustic wave equation. Zbl 1532.65084
Steins, Morgane; Ern, Alexandre; Jamond, Olivier; Drui, Florence
1
2023
A virtual element method for overcoming locking phenomena in Biot’s consolidation model. Zbl 1530.65122
Liu, Xin; Chen, Zhangxin
1
2023
The regularised inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime. Zbl 07787605
Cornalba, Federico; Shardlow, Tony
1
2023
On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system. Zbl 1531.65127
Weber, Franziska; Yue, Yukun
1
2023
The nonconforming virtual element method for Oseen’s equation using a stream-function formulation. Zbl 1531.65227
Adak, Dibyendu; Manzini, Gianmarco
1
2023
VEM discretization allowing small edges for the reaction-convection-diffusion equation: source and spectral problems. Zbl 1530.65168
Lepe, Felipe; Rivera, Gonzalo
1
2023
Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320
Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei
27
2022
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
15
2022
A fully-decoupled discontinuous Galerkin approximation of the Cahn-Hilliard-Brinkman-Ohta-Kawasaki tumor growth model. Zbl 1503.65255
Zou, Guang-An; Wang, Bo; Yang, Xiaofeng
12
2022
On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar-Runge-Kutta schemes. Zbl 1492.65191
Izgin, Thomas; Kopecz, Stefan; Meister, Andreas
12
2022
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
11
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 1508.35057
Barsukow, Wasilij; Klingenberg, Christian
9
2022
A mixed elasticity formulation for fluid-poroelastic structure interaction. Zbl 1492.76110
Li, Tongtong; Yotov, Ivan
8
2022
An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. Zbl 1497.35312
Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten
7
2022
Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. Zbl 1497.35389
Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi
7
2022
Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell. Zbl 1491.65105
Yang, Xiaofeng
6
2022
Lowest-order equivalent nonstandard finite element methods for biharmonic plates. Zbl 1483.65177
Carstensen, Carsten; Nataraj, Neela
6
2022
Energy-adaptive Riemannian optimization on the Stiefel manifold. Zbl 1502.65177
Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana
6
2022
Infection spreading in cell culture as a reaction-diffusion wave. Zbl 1492.35373
Mahiout, Latifa Ait; Bessonov, Nikolai; Kazmierczak, Bogdan; Sadaka, Georges; Volpert, Vitaly
5
2022
Monotone discretization of the Monge-Ampère equation of optimal transport. Zbl 1496.65197
Bonnet, Guillaume; Mirebeau, Jean-Marie
5
2022
Shape reconstructions by using plasmon resonances. Zbl 1486.65230
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
5
2022
Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. Zbl 1503.65238
Li, Buyang; Ma, Shu; Ueda, Yuki
5
2022
Stabilized finite elements for Tresca friction problem. Zbl 1497.65227
Gustafsson, Tom; Videman, Juha
5
2022
New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization. Zbl 1505.65322
Singh, Mehakpreet; Walker, Gavin; Randade, Vivek
4
2022
Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods. Zbl 1486.65241
Chaumont-Frelet, Théophile; Ern, Alexandre; Lemaire, Simon; Valentin, Frédéric
4
2022
Gibbs phenomena for \(L^q\)-best approximation in finite element spaces. Zbl 1483.65188
Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.
4
2022
Network models for nonlocal traffic flow. Zbl 1484.35284
Friedrich, Jan; Göttlich, Simone; Osztfalk, Maximilian
4
2022
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Cited by 11,853 Authors

95 Gatica, Gabriel N.
69 Ern, Alexandre
67 Ruiz-Baier, Ricardo
66 Chung, Tsz Shun Eric
65 Rozza, Gianluigi
63 Beirão da Veiga, Lourenço
62 Manzini, Gianmarco
59 Schwab, Christoph
59 Shu, Chi-Wang
56 Burman, Erik
56 Di Pietro, Daniele Antonio
54 Antonietti, Paola Francesca
50 Yang, Xiaofeng
43 Droniou, Jérôme
41 Hesthaven, Jan S.
41 Mora, David
41 Oyarzúa, Ricardo
40 Dumbser, Michael
40 He, Yinnian
40 Quarteroni, Alfio M.
40 Vohralík, Martin
39 Efendiev, Yalchin R.
39 Kurganov, Alexander
39 Ortner, Christoph
39 Verani, Marco
38 Du, Qiang
38 Maday, Yvon
37 Benner, Peter
36 Masson, Roland
35 Herbin, Raphaèle
35 Larson, Mats G.
35 Patera, Anthony T.
33 He, Xiaoming
33 Latché, Jean-Claude
33 Mai Duc Thanh
32 Dassi, Franco
32 Feireisl, Eduard
32 Nobile, Fabio
32 Zhang, Zhimin
31 Hérard, Jean-Marc
30 Berrone, Stefano
30 Feng, Minfu
30 Huang, Yunqing
30 Peterseim, Daniel
29 Lukáčová-Medviďová, Mária
29 Manzoni, Andrea
28 Cancès, Clément
28 Lanteri, Stéphane
28 Ohlberger, Mario
28 Zhao, Jikun
27 Mascotto, Lorenzo
27 Olshanskii, Maxim A.
27 Praetorius, Dirk
27 Yotov, Ivan
26 Eymard, Robert
26 Fumagalli, Alessio
26 Perugia, Ilaria
26 Russo, Alessandro
26 Vacca, Giuseppe
26 Zhang, Shangyou
25 Caucao, Sergio
25 Chen, Zhangxin
25 Dehghan Takht Fooladi, Mehdi
25 Gunzburger, Max Donald
25 Haasdonk, Bernard
25 Hansbo, Peter
25 Mu, Lin
25 Rohde, Christian
25 Schneider, Reinhold
25 Süli, Endre E.
24 Bürger, Raimund
24 Carstensen, Carsten
24 Deng, Weihua
24 Fernández-Nieto, Enrique Domingo
24 Gallouët, Thierry
24 Nazarov, Sergeĭ Aleksandrovich
24 Nochetto, Ricardo Horacio
24 Otárola, Enrique
24 Zhu, Shengfeng
23 Brenner, Konstantin
23 Cohen, Albert
23 Volkwein, Stefan
22 Chen, Wenbin
22 Gander, Martin Jakob
22 Goatin, Paola
22 Hiptmair, Ralf
22 Kunisch, Karl
22 Linke, Alexander
22 Rui, Hongxing
22 Taddei, Tommaso
22 Wang, Cheng
21 Brezzi, Franco
21 Dahmen, Wolfgang A.
21 Demkowicz, Leszek
21 Dolean, Victorita
21 Feng, Lihong
21 Lelièvre, Tony
21 Li, Jichun
21 Lipnikov, Konstantin N.
21 Mao, Shipeng
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4 Manifolds and cell complexes (57-XX)
3 Group theory and generalizations (20-XX)
3 Mathematics education (97-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)

Citations by Year