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=121http://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: 1,337 Publications (since 2005) References Indexed: 945 Publications with 33,384 References. all top 5 Latest Issues 57, No. 4 (2023) 57, No. 3 (2023) 57, No. 2 (2023) 57, No. 1 (2023) 56, No. 6 (2022) 56, No. 5 (2022) 56, No. 4 (2022) 56, No. 3 (2022) 56, No. 2 (2022) 56, No. 1 (2022) 55, No. 6 (2021) 55, No. 5 (2021) 55, No. 4 (2021) 55, No. 3 (2021) 55, No. 2 (2021) 55, No. 1 (2021) 55, Suppl. 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optimization (49-XX) 107 Optics, electromagnetic theory (78-XX) 82 Statistical mechanics, structure of matter (82-XX) 70 Probability theory and stochastic processes (60-XX) 69 Biology and other natural sciences (92-XX) 39 Quantum theory (81-XX) 38 Approximations and expansions (41-XX) 36 Operations research, mathematical programming (90-XX) 28 Classical thermodynamics, heat transfer (80-XX) 25 Ordinary differential equations (34-XX) 24 Operator theory (47-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Integral equations (45-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Geophysics (86-XX) 20 Systems theory; control (93-XX) 18 Statistics (62-XX) 16 Computer science (68-XX) 16 Mechanics of particles and systems (70-XX) 15 Real functions (26-XX) 13 Information and communication theory, circuits (94-XX) 10 Potential theory (31-XX) 8 Special functions (33-XX) 8 Differential geometry (53-XX) 7 General and overarching topics; collections (00-XX) 7 Integral transforms, operational calculus (44-XX) 7 Functional analysis (46-XX) 5 Combinatorics (05-XX) 5 Difference and functional equations (39-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Relativity and gravitational theory (83-XX) 2 Functions of a complex variable (30-XX) 2 Astronomy and astrophysics (85-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,108 Publications have been cited 13,213 times in 9,371 Documents Cited by ▼ Year ▼ Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. 187 2007 Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe 167 2017 Basic principles of mixed virtual element methods. Zbl 1299.76130Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 156 2014 Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177Haasdonk, Bernard; Ohlberger, Mario 152 2008 A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096Grepl, Martin A.; Patera, Anthony T. 148 2005 On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth 140 2012 The nonconforming virtual element method. Zbl 1343.65140Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco 140 2016 Mimetic finite differences for elliptic problems. Zbl 1177.65164Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin 116 2009 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 115 2016 Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400Deng, W. H.; Hesthaven, J. S. 106 2013 Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria 106 2009 A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz 101 2007 Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre 100 2016 A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108Domelevo, Komla; Omnes, Pascal 98 2005 Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055Angot, Philippe; Boyer, Franck; Hubert, Florence 92 2009 A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel 89 2012 A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo 85 2014 Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes. Zbl 1094.78008Fezoui, Loula; Lanteri, Stéphane; Lohrengel, Stéphanie; Piperno, Serge 84 2005 Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527Boyer, Franck; Lapuerta, Céline 81 2006 A mixed finite element method for Darcy flow in fractured porous media with non-matching grids. Zbl 1271.76322D’Angelo, Carlo; Scotti, Anna 80 2012 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 79 2012 Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029Prohl, Andreas 78 2008 Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127Boyer, Franck; Minjeaud, Sebastian 74 2011 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 74 2012 A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137Perugia, Ilaria; Pietra, Paola; Russo, Alessandro 74 2016 Finite element quasi-interpolation and best approximation. Zbl 1378.65041Ern, Alexandre; Guermond, Jean-Luc 73 2017 Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007Owhadi, Houman; Zhang, Lei; Berlyand, Leonid 72 2014 Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437Burman, Erik; Hansbo, Peter 68 2014 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029Gloria, Antoine; Neukamm, Stefan; Otto, Felix 67 2014 Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit 63 2012 The mathematical theory of low Mach number flows. Zbl 1094.35094Schochet, Steven 62 2005 Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola 61 2016 Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005Du, Qiang; Zhou, Kun 60 2011 Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070Laurain, Antoine; Sturm, Kevin 59 2016 {\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun. 57 2012 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056Beirão da Veiga, L.; Manzini, G. 56 2015 Convergence rates of the POD-greedy method. Zbl 1277.65074Haasdonk, Bernard 56 2013 Energy-preserving Runge-Kutta methods. Zbl 1169.65348Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. Reinout W.; Wright, William M. 54 2009 Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas 54 2008 Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana 53 2011 The virtual element method with curved edges. Zbl 1426.65163Da Veiga, L. Beirão; Russo, A.; Vacca, G. 53 2019 Proper orthogonal decomposition for optimality systems. Zbl 1141.65050Kunisch, Karl; Volkwein, Stefan 52 2008 Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029Bolley, François; Guillin, Arnaud; Malrieu, Florent 52 2010 \(L^{2}\) stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods. Zbl 1152.65095Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping 52 2008 A static condensation reduced basis element method: approximation and {a posteriori} error estimation. Zbl 1276.65082Huynh, Dinh Bao Phuong; Knezevic, David J.; Patera, Anthony T. 50 2013 Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132Bonelle, Jérôme; Ern, Alexandre 46 2014 Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors. Zbl 1381.76186Linke, Alexander; Matthies, Gunar; Tobiska, Lutz 46 2016 Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094Buffa, Annalisa; Monk, Peter 45 2008 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 45 2013 Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul 45 2015 A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 45 2014 A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques 44 2011 A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378Wei, Ting; Wang, Jun-Gang 43 2014 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 42 2008 A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan 42 2012 Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117Antoine, Xavier; Darbas, Marion 42 2007 Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas 42 2009 Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M. 42 2010 Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph 40 2013 Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080Antonietti, Paola F.; Ayuso, Blanca 39 2007 A discrete contact model for crowd motion. Zbl 1271.34020Maury, Bertrand; Venel, Juliette 38 2011 A reduced basis element method for the steady Stokes problem. Zbl 1129.76036Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 38 2006 A mimetic discretization method for linear elasticity. Zbl 1258.74206Beirão da Veiga, Lourenco 38 2010 Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119Matthes, Daniel; Osberger, Horst 37 2014 Robust numerical approximation of coupled Stokes and Darcy’s flows applied to vascular hemodynamics and biochemical transport. Zbl 1274.92010D’Angelo, Carlo; Zunino, Paolo 37 2011 A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801Pelanti, Marica; Bouchut, François; Mangeney, Anne 37 2008 Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems. Zbl 1351.65078Wang, Haijin; Wang, Shiping; Zhang, Qiang; Shu, Chi-Wang 37 2016 On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009Formaggia, Luca; Moura, Alexandra; Nobile, Fabio 37 2007 A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037Lévy, Bruno 37 2015 Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel 36 2007 Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun 36 2014 Low Mach number limit for viscous compressible flows. Zbl 1080.35067Donchin, Raphaël 36 2005 Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice 36 2013 Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077Muñoz-Ruiz, María Luz; Parés, Carlos 36 2007 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 1330.74155Gatica, Gabriel N. 36 2006 Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida 36 2008 Multi-marginal optimal transport: theory and applications. Zbl 1330.49050Pass, Brendan 36 2015 \(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul 36 2016 Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit 35 2014 On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia 35 2015 Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042Carlier, Guillaume; Oberman, Adam; Oudet, Edouard 35 2015 The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe 34 2019 A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274Mora, David; Rivera, Gonzalo; Velásquez, Iván 34 2018 Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014Piperno, Serge 33 2006 A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold 33 2015 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 33 2016 Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni 33 2017 An augmented mixed-primal finite element method for a coupled flow-transport problem. Zbl 1329.76157Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo 32 2015 Sparse grids for the Schrödinger equation. Zbl 1145.65096Griebel, Michael; Hamaekers, Jan 31 2007 A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118Elsey, Matt; Wirth, Benedikt 31 2013 Optimal snapshot location for computing POD basis functions. Zbl 1193.65113Kunisch, Karl; Volkwein, Stefan 31 2010 Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142Chiarello, Felisia Angela; Goatin, Paola 31 2018 Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier 30 2005 Discretized fractional substantial calculus. Zbl 1314.26007Chen, Minghua; Deng, Weihua 30 2015 The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc 30 2008 A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes. Zbl 1335.65006Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar 30 2015 Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems. Zbl 1190.65164Cheddadi, Ibrahim; Fučík, Radek; Prieto, Mariana I.; Vohralík, Martin 30 2009 Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035Cancès, Clément 30 2009 Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003Cancès, Eric; Chakir, Rachida; Maday, Yvon 29 2012 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110Bouchut, François; Morales de Luna, Tomás 29 2008 On the stability of strong-stability-preserving modified Patankar-Runge-Kutta schemes. Zbl 1515.65192Huang, Juntao; Izgin, Thomas; Kopecz, Stefan; Meister, Andreas; Shu, Chi-Wang 2 2023 Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. Zbl 1516.65127Di Pietro, Daniele A.; Droniou, Jérôme 2 2023 Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation. Zbl 07689052An, Jing; Cao, Waixiang 1 2023 On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. Zbl 1515.35242Carles, Rémi; Klein, Christian; Sparber, Christof 1 2023 Convergence of a scheme for an elastic flow with tangential mesh movement. Zbl 07689055Pozzi, Paola; Stinner, Björn 1 2023 An EMA-conserving, pressure-robust and re-semi-robust method with a robust reconstruction method for Navier-Stokes. Zbl 07689056Li, Xu; Rui, Hongxing 1 2023 Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise. Zbl 1515.60231Bauzet, Caroline; Nabet, Flore; Schmitz, Kerstin; Zimmermann, Aleksandra 1 2023 Singular versus boundary arcs for aircraft trajectory optimization in climbing phase. Zbl 1514.49013Cots, Olivier; Gergaud, Joseph; Goubinat, Damien; Wembe, Boris 1 2023 A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. Zbl 1515.65101Kusch, Jonas; Stammer, Pia 1 2023 Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption. Zbl 1515.91027Dumitrescu, Roxana; Leutscher, Marcos; Tankov, Peter 1 2023 A CutFEM divergence-free discretization for the Stokes problem. Zbl 1514.65174Liu, Haoran; Neilan, Michael; Olshanskii, Maxim 1 2023 Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. Zbl 1516.65126Daniel, Patrik; Vohralík, Martin 1 2023 Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei 8 2022 On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar-Runge-Kutta schemes. Zbl 1492.65191Izgin, Thomas; Kopecz, Stefan; Meister, Andreas 7 2022 Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 1508.35057Barsukow, Wasilij; Klingenberg, Christian 6 2022 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. Zbl 1497.35389Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 4 2022 Stabilized finite elements for Tresca friction problem. Zbl 1497.65227Gustafsson, Tom; Videman, Juha 3 2022 Energy-adaptive Riemannian optimization on the Stiefel manifold. Zbl 1502.65177Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana 3 2022 A mixed elasticity formulation for fluid-poroelastic structure interaction. 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Zbl 1483.65175Arnold, Douglas; Guzmán, Johnny 2 2021 ...and 1008 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,951 Authors 84 Gatica, Gabriel N. 62 Chung, Tsz Shun Eric 56 Beirão da Veiga, Lourenço 56 Ern, Alexandre 56 Rozza, Gianluigi 56 Ruiz-Baier, Ricardo 53 Schwab, Christoph 52 Shu, Chi-Wang 50 Manzini, Gianmarco 48 Di Pietro, Daniele Antonio 46 Burman, Erik 44 Antonietti, Paola Francesca 39 Oyarzúa, Ricardo 38 Efendiev, Yalchin R. 37 He, Yinnian 37 Vohralík, Martin 36 Patera, Anthony T. 36 Yang, Xiaofeng 35 Droniou, Jérôme 35 Quarteroni, Alfio M. 34 Dumbser, Michael 34 Herbin, Raphaèle 34 Hesthaven, Jan S. 34 Ortner, Christoph 33 Mora, David 32 Du, Qiang 32 Maday, Yvon 32 Verani, Marco 31 Feireisl, Eduard 31 Kurganov, Alexander 31 Latché, Jean-Claude 31 Masson, Roland 29 Mai Duc Thanh 28 Dassi, Franco 28 He, Xiaoming 28 Larson, Mats G. 28 Nobile, Fabio 27 Benner, Peter 27 Hérard, Jean-Marc 27 Lanteri, Stéphane 26 Ohlberger, Mario 26 Praetorius, Dirk 25 Cancès, Clément 24 Berrone, Stefano 24 Eymard, Robert 24 Feng, Minfu 24 Fumagalli, Alessio 24 Manzoni, Andrea 24 Peterseim, Daniel 24 Yotov, Ivan 23 Gallouët, Thierry 23 Gunzburger, Max D. 23 Huang, Yunqing 23 Perugia, Ilaria 23 Russo, Alessandro 23 Schneider, Reinhold 23 Vacca, Giuseppe 22 Brenner, Konstantin 22 Haasdonk, Bernard 22 Hiptmair, Ralf 22 Linke, Alexander 22 Olshanskii, Maxim A. 22 Volkwein, Stefan 22 Zhang, Zhimin 21 Abdulle, Assyr 21 Carrillo de la Plata, José Antonio 21 Cohen, Albert 21 Fernández-Nieto, Enrique Domingo 21 Lukáčová-Medvid’ová, Mária 21 Nazarov, Sergeĭ Aleksandrovich 21 Nochetto, Ricardo Horacio 21 Rebholz, Leo G. 21 Süli, Endre E. 20 Caucao, Sergio 20 Deng, Weihua 20 Goatin, Paola 20 Hansbo, Peter 20 Kunisch, Karl 20 Lelièvre, Tony 20 Lipnikov, Konstantin N. 20 Mascotto, Lorenzo 20 Parés Madroñal, Carlos 20 Wang, Cheng 20 Wu, Jiming 19 Brezzi, Franco 19 Bürger, Raimund 19 Carstensen, Carsten 19 Dahmen, Wolfgang A. 19 Dolean, Victorita 19 Gander, Martin Jakob 19 Gloria, Antoine 19 Heuer, Norbert 19 Luskin, Mitchell 19 Narayan, Akil C. 19 Willcox, Karen E. 19 Yang, Yang 19 Zhao, Jikun 19 Zhu, Shengfeng 18 Chacón Rebollo, Tomás 18 Chalons, Christophe ...and 9,851 more Authors all top 5 Cited in 477 Journals 757 Journal of Computational Physics 561 Computer Methods in Applied Mechanics and Engineering 486 Journal of Scientific Computing 375 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 352 Computers & Mathematics with Applications 326 Journal of Computational and Applied Mathematics 294 SIAM Journal on Scientific Computing 275 SIAM Journal on Numerical Analysis 229 Numerische Mathematik 205 Applied Numerical Mathematics 185 Mathematics of Computation 184 M\(^3\)AS. 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