Edit Profile (opens in new tab) Farhat, Charbel H. Co-Author Distance Author ID: farhat.charbel-h Published as: Farhat, Charbel; Farhat, C.; Farhat, Charbel H. more...less Homepage: https://profiles.stanford.edu/charbel-farhat External Links: ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 203 Publications since 1987, including 5 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 143 Co-Authors with 202 Joint Publications 2,929 Co-Co-Authors all top 5 Co-Authors 5 single-authored 36 Tezaur, Radek 20 Lesoinne, Michel 16 Avery, Philip 13 Amsallem, David 12 Roux, François-Xavier 11 Hetmaniuk, Ulrich L. 11 Koobus, Bruno 10 Djellouli, Rabia 8 Macedo, Antonini P. 7 Cortial, Julien 7 Harari, Isaac 7 Mandel, Jan 6 Chen, Po-Shu 6 Géradin, Michel 6 Park, Kwang-Chun 6 Rixen, Daniel J. 5 Carlberg, Kevin T. 5 Franca, Leopoldo Luis Cabo Penna 5 Geuzaine, Philippe 5 Le Tallec, Patrick 5 Li, Jing 5 Pierson, Kendall H. 4 As’ad, Faisal 4 Crivelli, Luis A. 4 Dervieux, Alain 4 Grimberg, Sebastian 4 Main, Alex 4 Rallu, Arthur 4 Wang, Kevin G. 3 Boncoraglio, Gabriele 3 Bou-Mosleh, Charbel 3 Brown, Gregory W. 3 Choi, Youngsoo 3 Felippa, Carlos A. 3 Kalashnikova, Irina 3 Lardat, Raphael 3 Maute, Kurt 3 Nikbay, Melike 3 Piperno, Serge 3 Schall, Eric 3 Sobh, Nahil Atef 3 Toivanen, Jari 3 Wilson, Edward L. 2 Anderson, Spenser 2 Argrow, Brian M. 2 Balajewicz, Maciej J. 2 Barnett, Joshua 2 Bavestrello, Henri 2 Borker, Raunak 2 Brogniez, Sebastien 2 Cai, Xiao-Chuan 2 Chapman, Todd 2 Chiou, J. C. 2 de Borst, René 2 de la Bourdonnaye, Armel 2 Degand, C. 2 Fish, Jacob 2 Gerbeau, Jean-Frédéric 2 Ghosh, Debraj 2 Grandmont, Céline 2 Hemez, François M. 2 Huang, Daniel Zhengyu 2 Keunings, Roland 2 Lakshminarayan, Vinod K. 2 Lanteri, Stéphane 2 Magoulès, Frédéric 2 Maman, Nathan 2 Massimi, Paolo 2 Perić, Djordje 2 Rajasekharan, Ajaykumar 2 Sarkis, Marcus V. 2 Vanderstraeten, Denis 2 Wang, Dalei 2 Zahr, Matthew J. 2 Zeng, Xianyi 2 Zhang, Lin 1 Alhazmi, Nahla 1 Amara, Mohamed 1 Belytschko, Ted Bohdan 1 Bergmann, Michel 1 Bhardwaj, Manoj 1 Carpentier, Romuald 1 Champaney, Victor 1 Chandesris, Marion 1 Chinesta, Francisco 1 Darve, Eric 1 Dastillung, Climène 1 De Santis, Dante 1 Della Piéta, Patrick 1 Di Lorenzo, David 1 Dolbow, John E. 1 Dostál, Zdeněk 1 Downer, Janice D. 1 Dubois-Pèlerin, Yves 1 Dureisseix, David 1 Fezoui, Loula 1 Ghazi, Yousef 1 Gmati, Nabil 1 González, José Angel 1 Grétarsson, Jón Tómas ...and 43 more Co-Authors all top 5 Serials 66 International Journal for Numerical Methods in Engineering 47 Computer Methods in Applied Mechanics and Engineering 23 Journal of Computational Physics 7 International Journal for Numerical Methods in Fluids 5 Revue Européenne des Éléments Finis 3 AIAA Journal 3 SIAM Journal on Scientific Computing 3 Journal of Computational Acoustics 2 Computers and Structures 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Communications in Applied Numerical Methods 2 International Journal of High Speed Computing 2 International Journal of Computational Fluid Dynamics 1 Computers and Fluids 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 1 IEEE Transactions on Automatic Control 1 Numerische Mathematik 1 SIAM Journal on Scientific and Statistical Computing 1 Journal of Scientific Computing 1 Engineering with Computers 1 Computational Mechanics Advances 1 Numerical Linear Algebra with Applications 1 Contemporary Mathematics 1 Revue Européenne de Mécanique Numérique 1 European Journal of Computational Mechanics all top 5 Fields 107 Mechanics of deformable solids (74-XX) 100 Numerical analysis (65-XX) 96 Fluid mechanics (76-XX) 18 Partial differential equations (35-XX) 11 Computer science (68-XX) 5 Systems theory; control (93-XX) 4 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 181 Publications have been cited 6,357 times in 3,095 Documents Cited by ▼ Year ▼ A method of finite element tearing and interconnecting and its parallel solution algorithm. Zbl 0758.65075 Farhat, Charbel; Roux, Francois-Xavier 372 1991 FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method. Zbl 1008.74076 Farhat, Charbel; Lesoinne, Michel; LeTallec, Patrick; Pierson, Kendall; Rixen, Daniel 222 2001 The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows. Zbl 1299.76180 Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David 188 2013 Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. Zbl 1235.74351 Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel 183 2011 The discontinuous enrichment method. Zbl 1002.76065 Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P. 183 2001 Partitioned analysis of coupled mechanical systems. Zbl 0985.76075 Felippa, Carlos A.; Park, K. C.; Farhat, Charbel 175 2001 Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity. Zbl 0951.74015 Farhat, C.; Lesoinne, M.; LeTallec, P. 153 1998 The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids. Zbl 1157.76372 Farhat, Charbel; Geuzaine, Philippe; Grandmont, Céline 134 2001 Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations. Zbl 0896.76044 Lesoinne, Michel; Farhat, Charbel 128 1996 A scalable dual-primal domain decomposition method. Zbl 1051.65119 Farhat, Charbel; Lesoinne, Michael; Pierson, Kendall 120 2000 Bubble functions prompt unusual stabilized finite element methods. Zbl 1067.76567 Franca, Leopoldo P.; Farhat, Charbel 119 1995 Nonlinear model order reduction based on local reduced-order bases. Zbl 1352.65212 Amsallem, David; Zahr, Matthew J.; Farhat, Charbel 115 2012 A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime. Zbl 1027.76028 Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich 110 2003 Torsional springs for two-dimensional dynamic unstructured fluid meshes. Zbl 0961.76070 Farhat, C.; Degand, C.; Koobus, B.; Lesoinne, M. 108 1998 Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems. Zbl 0991.74069 Farhat, C.; Lesoinne, M. 106 2000 Partitioned procedures for the transient solution of coupled aeroelastic problems. I: Model problem, theory and two-dimensional application. Zbl 1067.74521 Piperno, Serge; Farhat, Charbel; Larrouturou, Bernard 104 1995 Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity. Zbl 1178.76259 Farhat, Charbel; Van der Zee, Kristoffer G.; Geuzaine, Philippe 103 2006 Mixed explicit/implicit time integration of coupled aeroelastic problems: Three-field formulation, geometric conservation and distributed solution. Zbl 0865.76038 Farhat, Charbel; Lesoinne, Michel; Maman, Nathan 100 1995 Implicit parallel processing in structural mechanics. Zbl 0805.73062 Farhat, Charbel; Roux, François-Xavier 99 1994 Residual-free bubbles for the Helmholtz equation. Zbl 0897.73062 Franca, Leopoldo P.; Farhat, Charbel; Macedo, Antonini P.; Lesoinne, Michel 86 1997 Partitioned procedures for the transient solution of coupled aeroelastic problems. II: Energy transfer analysis and three-dimensional applications. Zbl 1015.74009 Piperno, Serge; Farhat, Charbel 85 2001 Reduced-order fluid/structure modeling of a complete aircraft configuration. Zbl 1124.76042 Lieu, T.; Farhat, C.; Lesoinne, M. 81 2006 On the significance of the geometric conservation law for flow computations on moving meshes. Zbl 0993.76049 Guillard, Hervé; Farhat, Charbel 79 2000 Time-decomposed parallel time-integrators: Theory and feasibility studies for fluid, structure, and fluid-structure applications. Zbl 1032.74701 Farhat, Charbel; Chandesris, Marion 79 2003 An online method for interpolating linear parametric reduced-order models. Zbl 1269.65059 Amsallem, David; Farhat, Charbel 78 2011 A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes –application to vortex shedding. Zbl 1079.76567 Koobus, Bruno; Farhat, Charbel 78 2004 Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency. Zbl 1352.74348 Farhat, Charbel; Avery, Philip; Chapman, Todd; Cortial, Julien 77 2014 Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models. Zbl 1352.74349 Farhat, Charbel; Chapman, Todd; Avery, Philip 74 2015 A method for interpolating on manifolds structural dynamics reduced-order models. Zbl 1176.74077 Amsallem, David; Cortial, Julien; Carlberg, Kevin; Farhat, Charbel 71 2009 A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems. Zbl 0940.74067 Rixen, Daniel J.; Farhat, Charbel 62 1999 An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems. Zbl 0746.65086 Farhat, Charbel; Roux, Francois-Xavier 62 1992 The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems. Zbl 0964.74062 Farhat, Charbel; Mandel, Jan 61 1998 Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes. Zbl 0943.76055 Koobus, Bruno; Farhat, Charbel 60 1999 The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems. Zbl 0981.74064 Farhat, Charbel; Pierson, Kendall; Lesoinne, Michel 55 2000 Progressive construction of a parametric reduced-order model for PDE-constrained optimization. Zbl 1352.49029 Zahr, Matthew J.; Farhat, Charbel 53 2015 Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter. Zbl 1009.76518 Farhat, Charbel; Geuzaine, Philippe; Brown, Gregory 53 2003 A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems. Zbl 0965.65133 Farhat, Charbel; Macedo, Antonini; Lesoinne, Michel 52 2000 Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems. Zbl 0979.76046 Farhat, Charbel; Macedo, Antonini; Lesoinne, Michel; Roux, Francois-Xavier; Magoulès, Frédéric; de la Bourdonnaye, Armel 51 2000 A higher-order generalized ghost fluid method for the poor for the three-dimensional two-phase flow computation of underwater implosions. Zbl 1269.76073 Farhat, Charbel; Rallu, Arthur; Shankaran, Sriram 50 2008 A scalable Lagrange multiplier based domain decomposition method for time-dependent problems. Zbl 0844.73077 Farhat, Charbel; Chen, Po-Shu; Mandel, Jan 49 1995 Stabilization of projection-based reduced-order models. Zbl 1253.90184 Amsallem, David; Farhat, Charbel 48 2012 Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems. Zbl 1110.76319 Tezaur, Radek; Farhat, Charbel 45 2006 Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations. Zbl 1051.76038 Geuzaine, Philippe; Grandmont, Céline; Farhat, Charbel 45 2003 A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. Zbl 1235.74352 Carlberg, Kevin; Farhat, Charbel 40 2011 A numerically scalable domain decomposition method for the solution of frictionless contact problems. Zbl 0988.74064 Dureisseix, D.; Farhat, C. 40 2001 The discontinuous enrichment method for multiscale analysis. Zbl 1054.76048 Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich 40 2003 On the general solution by a direct method of a large-scale singular system of linear equations: Application to the analysis of floating structures. Zbl 0908.73092 Farhat, Charbel; Géradin, Michel 39 1998 Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses. Zbl 1113.74023 Farhat, Charbel; Cortial, Julien; Dastillung, Climène; Bavestrello, Henri 38 2006 Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids. Zbl 1068.76063 Farhat, Charbel; Geuzaine, Philippe 38 2004 The two-level FETI method II: Extension to shell problems, parallel implementation and performance results. Zbl 1040.74513 Farhat, Charbel; Chen, Po-Shu; Mandel, Jan; Roux, Francois Xavier 37 1998 Robust and provably second-order explicit-explicit and implicit-explicit staggered time-integrators for highly nonlinear compressible fluid-structure interaction problems. Zbl 1202.74167 Farhat, C.; Rallu, A.; Wang, K.; Belytschko, T. 34 2010 A scalable substructuring method by Lagrange multipliers for plate bending problems. Zbl 0956.74059 Mandel, Jan; Tezaur, Radek; Farhat, Charbel 33 1999 Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192 Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric 33 2020 Application of the FETI method to ASCI problems – scalability results on 1000 processors and discussion of highly heterogeneous problems. Zbl 0970.74069 Bhardwaj, Manoj; Day, David; Farhat, Charbel; Lesoinne, Michel; Pierson, Kendall; Rixen, Daniel 32 2000 Theoretical comparison of the FETI and algebraically partitioned FETI methods, and performance comparisons with a direct sparse solver. Zbl 0977.74065 Rixen, Daniel J.; Farhat, Charbel; Tezaur, Radek; Mandel, Jan 31 1999 The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime. Zbl 1110.74860 Zhang, Lin; Tezaur, Radek; Farhat, Charbel 30 2006 FETI-DPH: a dual-primal domain decomposition method for acoustic scattering. Zbl 1189.76338 Farhat, Charbel; Avery, Philip; Tezaur, Radek; Li, Jing 30 2005 A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems. Zbl 1194.74476 Tezaur, Radek; Zhang, Lin; Farhat, Charbel 30 2008 On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows. Zbl 07507241 Grimberg, Sebastian; Farhat, Charbel; Youkilis, Noah 30 2020 Extending substructure based iterative solvers to multiple load and repeated analyses. Zbl 0851.73059 Farhat, Charbel; Crivelli, Luis; Roux, François Xavier 29 1994 Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries. Zbl 0996.76058 Tezaur, Radek; Macedo, Antonini; Farhat, Charbel; Djellouli, Rabia 28 2002 A transient FETI methodology for large-scale parallel implicit computations in structural mechanics. Zbl 0824.73067 Farhat, Charbel; Crivelli, Luis; Roux, Francois-Xavier 28 1994 FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps. Zbl 1284.76264 Farhat, Charbel; Gerbeau, Jean-Frédéric; Rallu, Arthur 28 2012 Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems. Zbl 1246.74023 Hetmaniuk, U.; Tezaur, R.; Farhat, C. 27 2012 Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems. Zbl 1075.76572 Farhat, Charbel; Tezaur, Radek; Weidemann-Goiran, Paul 27 2004 Finite element solution of two-dimensional acoustic scattering problems using arbitrarily shaped convex artificial boundaries. Zbl 1360.76131 Djellouli, Rabia; Farhat, Charbel; Macedo, Antonini; Tezaur, Radek 27 2000 A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain. Zbl 1183.76813 Petersen, Steffen; Farhat, Charbel; Tezaur, Radek 26 2009 An unconditionally stable staggered algorithm for transient finite element analysis of coupled thermoelastic problems. Zbl 0764.73081 Farhat, Charbel; Park, K. C.; Dubois-Pelerin, Yves 26 1991 Updating finite element dynamic models using an element-by-element sensitivity methodology. Zbl 0783.73068 Farhat, Charbel; Hemez, Francois M. 26 1993 Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics. Zbl 0825.73997 Farhat, Charbel; Lesoinne, Michel 26 1993 A dynamic variational multiscale method for large eddy simulations on unstructured meshes. Zbl 1116.76046 Farhat, Charbel; Rajasekharan, Ajaykumar; Koobus, Bruno 25 2006 A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers. Zbl 0907.73059 Farhat, Charbel; Chen, Po-Shu; Risler, Franck; Roux, Francois-Xavier 25 1998 Mesh partitioning for implicit computations via iterative domain decomposition: Impact and optimization of the subdomain aspect ratio. Zbl 0825.73780 Farhat, Charbel; Maman, Nathan; Brown, Gregory W. 24 1995 On a component mode synthesis method and its application to incompatible substructures. Zbl 0900.73338 Farhat, C.; Geradin, M. 24 1994 Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid – structure interaction problems. Zbl 1426.76436 Wang, K.; Rallu, A.; Gerbeau, J.-F.; Farhat, C. 24 2011 Unusual stabilized finite element methods and residual free bubbles. Zbl 0904.76045 Franca, Leopoldo P.; Farhat, Charbel; Lesoinne, Michel; Russo, Alessandro 23 1998 A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations. Zbl 0936.76036 Cai, Xiao-Chuan; Farhat, Charbel; Sarkis, Marcus 23 1998 A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers. Zbl 1171.76417 Farhat, Charbel; Tezaur, Radek; Toivanen, Jari 23 2009 Overview of the discontinuous enrichment method, the ultra-weak variational formulation, and the partition of unity method for acoustic scattering in the medium frequency regime and performance comparisons. Zbl 1242.76143 Wang, Dalei; Tezaur, Radek; Toivanen, Jari; Farhat, Charbel 23 2012 A FETI-preconditioned conjugate gradient method for large-scale stochastic finite element problems. Zbl 1176.74182 Ghosh, Debraj; Avery, Philip; Farhat, Charbel 22 2009 Sensitivity analysis and design optimization of three-dimensional nonlinear aeroelastic systems by the adjoint method. Zbl 1078.74633 Maute, K.; Nikbay, M.; Farhat, C. 21 2003 Gradient-based constrained optimization using a database of linear reduced-order models. Zbl 07508406 Choi, Youngsoo; Boncoraglio, Gabriele; Anderson, Spenser; Amsallem, David; Farhat, Charbel 21 2020 A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes. Zbl 1163.74344 Farhat, Charbel; Wiedemann-Goiran, Paul; Tezaur, Radek 19 2004 A linearized method for the frequency analysis of three-dimensional fluid-structure interaction problems in all flow regimes. Zbl 1013.74020 Lesoinne, Michel; Sarkis, Marcus; Hetmaniuk, Ulrich; Farhat, Charbel 19 2001 A numerically scalable dual-primal substructuring method for the solution of contact problems. I: The frictionless case. Zbl 1067.74572 Avery, Philip; Rebel, Gert; Lesoinne, Michel; Farhat, Charbel 19 2004 An ALE formulation of embedded boundary methods for tracking boundary layers in turbulent fluid-structure interaction problems. Zbl 1349.76117 Farhat, Charbel; Lakshminarayan, Vinod K. 19 2014 On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method. Zbl 1009.35088 Farhat, Charbel; Tezaur, Radek; Djellouli, Rabia 19 2002 A discontinuous enrichment method for three-dimensional multiscale harmonic wave propagation problems in multi-fluid and fluid – solid media. Zbl 1195.74292 Massimi, Paolo; Tezaur, Radek; Farhat, Charbel 19 2008 A non-overlapping domain decomposition method for the exterior Helmholtz problem. Zbl 0909.65103 de La Bourdonnaye, Armel; Farhat, Charbel; Macedo, Antonini; Magoulès, Frédéric; Roux, François-Xavier 18 1998 A mechanics-informed artificial neural network approach in data-driven constitutive modeling. Zbl 1528.74114 As’ad, Faisal; Avery, Philip; Farhat, Charbel 18 2022 Implicit time integration of a class of constrained hybrid formulations. I. Spectral stability theory. Zbl 1067.74592 Farhat, Charbel; Crivelli, Luis; Géradin, Michel 17 1995 A higher-order discontinuous enrichment method for the solution of high Péclet advection-diffusion problems on unstructured meshes. Zbl 1183.76805 Farhat, C.; Kalashnikova, I.; Tezaur, R. 17 2010 Strain and stress computations in stochastic finite element methods. Zbl 1159.74425 Ghosh, Debraj; Farhat, Charbel 17 2008 The discontinuous enrichment method for medium-frequency Helmholtz problems with a spatially variable wavenumber. Zbl 1295.76030 Tezaur, Radek; Kalashnikova, Irina; Farhat, Charbel 17 2014 An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems. Zbl 1352.74132 Hetmaniuk, Ulrich; Tezaur, Radek; Farhat, Charbel 17 2013 Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver. Zbl 1194.74107 Avery, Philip; Farhat, Charbel; Reese, Garth 17 2007 The FETI family of domain decomposition methods for inequality-constrained quadratic programming: application to contact problems with conforming and nonconforming interfaces. Zbl 1227.74062 Avery, Philip; Farhat, Charbel 16 2009 A systematic approach for constructing higher-order immersed boundary and ghost fluid methods for fluid-structure interaction problems. Zbl 1426.76443 Zeng, Xianyi; Farhat, Charbel 16 2012 A time-parallel implicit method for accelerating the solution of nonlinear structural dynamics problems. Zbl 1155.74428 Cortial, Julien; Farhat, Charbel 16 2009 Computational bottlenecks for PROMs: precomputation and hyperreduction. Zbl 1483.65154 Farhat, Charbel; Grimberg, Sebastian; Manzoni, Andrea; Quarteroni, Alfio 16 2021 Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility. Zbl 07742906 Barnett, Joshua; Farhat, Charbel; Maday, Yvon 1 2023 A mechanics-informed artificial neural network approach in data-driven constitutive modeling. Zbl 1528.74114 As’ad, Faisal; Avery, Philip; Farhat, Charbel 18 2022 Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction. Zbl 07540375 Barnett, Joshua; Farhat, Charbel 11 2022 Linear reduced-order model predictive control. Zbl 07741779 Lorenzetti, Joseph; McClellan, Andrew; Farhat, Charbel; Pavone, Marco 2 2022 Robust and globally efficient reduction of parametric, highly nonlinear computational models and real time online performance. Zbl 1507.65212 Tezaur, Radek; As’ad, Faisal; Farhat, Charbel 2 2022 Computational bottlenecks for PROMs: precomputation and hyperreduction. Zbl 1483.65154 Farhat, Charbel; Grimberg, Sebastian; Manzoni, Andrea; Quarteroni, Alfio 16 2021 The DGDD method for reduced-order modeling of conservation laws. Zbl 07505919 Riffaud, Sébastien; Bergmann, Michel; Farhat, Charbel; Grimberg, Sebastian; Iollo, Angelo 11 2021 Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192 Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric 33 2020 On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows. Zbl 07507241 Grimberg, Sebastian; Farhat, Charbel; Youkilis, Noah 30 2020 Gradient-based constrained optimization using a database of linear reduced-order models. Zbl 07508406 Choi, Youngsoo; Boncoraglio, Gabriele; Anderson, Spenser; Amsallem, David; Farhat, Charbel 21 2020 A family of position- and orientation-independent embedded boundary methods for viscous flow and fluid-structure interaction problems. Zbl 1395.76044 Huang, Daniel Z.; De Santis, Dante; Farhat, Charbel 10 2018 An enhanced FIVER method for multi-material flow problems with second-order convergence rate. Zbl 1406.76061 Main, Alex; Zeng, Xianyi; Avery, Philip; Farhat, Charbel 10 2017 A high-order discontinuous Galerkin method for unsteady advection-diffusion problems. Zbl 1380.65250 Borker, Raunak; Farhat, Charbel; Tezaur, Radek 7 2017 A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection-diffusion problems. Zbl 1439.76052 Borker, Raunak; Farhat, Charbel; Tezaur, Radek 3 2017 Projection-based model reduction for contact problems. Zbl 1352.74196 Balajewicz, Maciej; Amsallem, David; Farhat, Charbel 13 2016 Real-time solution of linear computational problems using databases of parametric reduced-order models with arbitrary underlying meshes. Zbl 1373.68446 Amsallem, David; Tezaur, Radek; Farhat, Charbel 9 2016 Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models. Zbl 1352.74349 Farhat, Charbel; Chapman, Todd; Avery, Philip 74 2015 Progressive construction of a parametric reduced-order model for PDE-constrained optimization. Zbl 1352.49029 Zahr, Matthew J.; Farhat, Charbel 53 2015 A computational framework for the simulation of high-speed multi-material fluid-structure interaction problems with dynamic fracture. Zbl 1352.76079 Wang, Kevin G.; Lea, Patrick; Farhat, Charbel 10 2015 A practical factorization of a Schur complement for PDE-constrained distributed optimal control. Zbl 1327.65225 Choi, Youngsoo; Farhat, Charbel; Murray, Walter; Saunders, Michael 10 2015 Special issue: Advances in embedded interface methods. Zbl 1351.65002 2 2015 Special issue on model reduction. Zbl 1351.65001 1 2015 Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency. Zbl 1352.74348 Farhat, Charbel; Avery, Philip; Chapman, Todd; Cortial, Julien 77 2014 An ALE formulation of embedded boundary methods for tracking boundary layers in turbulent fluid-structure interaction problems. Zbl 1349.76117 Farhat, Charbel; Lakshminarayan, Vinod K. 19 2014 The discontinuous enrichment method for medium-frequency Helmholtz problems with a spatially variable wavenumber. Zbl 1295.76030 Tezaur, Radek; Kalashnikova, Irina; Farhat, Charbel 17 2014 Reduction of nonlinear embedded boundary models for problems with evolving interfaces. Zbl 1352.65322 Balajewicz, Maciej; Farhat, Charbel 13 2014 A second-order time-accurate implicit finite volume method with exact two-phase Riemann problems for compressible multi-phase fluid and fluid-structure problems. Zbl 1349.76362 Main, Alex; Farhat, Charbel 10 2014 A hybrid discontinuous in space and time Galerkin method for wave propagation problems. Zbl 1352.65376 Wang, Dalei; Tezaur, Radek; Farhat, Charbel 9 2014 On the stability of reduced-order linearized computational fluid dynamics models based on POD and Galerkin projection: descriptor vs non-descriptor forms. Zbl 1359.76215 Amsallem, David; Farhat, Charbel 7 2014 An embedded boundary framework for compressible turbulent flow and fluid-structure computations on structured and unstructured grids. Zbl 1455.65149 Lakshminarayan, V.; Farhat, C.; Main, A. 4 2014 The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows. Zbl 1299.76180 Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David 188 2013 An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems. Zbl 1352.74132 Hetmaniuk, Ulrich; Tezaur, Radek; Farhat, Charbel 17 2013 A high-order discontinuous Galerkin method with Lagrange multipliers for advection-diffusion problems. Zbl 1286.65150 Brogniez, S.; Farhat, C.; Hachem, E. 5 2013 Corrigendum to: “The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows”. Zbl 1472.76071 Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David 2 2013 Nonlinear model order reduction based on local reduced-order bases. Zbl 1352.65212 Amsallem, David; Zahr, Matthew J.; Farhat, Charbel 115 2012 Stabilization of projection-based reduced-order models. Zbl 1253.90184 Amsallem, David; Farhat, Charbel 48 2012 FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps. Zbl 1284.76264 Farhat, Charbel; Gerbeau, Jean-Frédéric; Rallu, Arthur 28 2012 Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems. Zbl 1246.74023 Hetmaniuk, U.; Tezaur, R.; Farhat, C. 27 2012 Overview of the discontinuous enrichment method, the ultra-weak variational formulation, and the partition of unity method for acoustic scattering in the medium frequency regime and performance comparisons. Zbl 1242.76143 Wang, Dalei; Tezaur, Radek; Toivanen, Jari; Farhat, Charbel 23 2012 A systematic approach for constructing higher-order immersed boundary and ghost fluid methods for fluid-structure interaction problems. Zbl 1426.76443 Zeng, Xianyi; Farhat, Charbel 16 2012 Computational algorithms for tracking dynamic fluid-structure interfaces in embedded boundary methods. Zbl 1412.74035 Wang, K.; Grétarsson, J.; Main, A.; Farhat, C. 14 2012 A dual-primal FETI method for solving a class of fluid-structure interaction problems in the frequency domain. Zbl 1242.74136 Li, Jing; Farhat, Charbel; Avery, Philip; Tezaur, Radek 4 2012 A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates. Zbl 1250.81040 Farhat, Charbel; Toivanen, Jari 1 2012 Provably stable and time-accurate extensions of Runge-Kutta schemes for CFD computations on moving grids. Zbl 1253.76023 Brogniez, Sebastien; Rajasekharan, Ajaykumar; Farhat, Charbel 1 2012 Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. Zbl 1235.74351 Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel 183 2011 An online method for interpolating linear parametric reduced-order models. Zbl 1269.65059 Amsallem, David; Farhat, Charbel 78 2011 A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. Zbl 1235.74352 Carlberg, Kevin; Farhat, Charbel 40 2011 Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid – structure interaction problems. Zbl 1426.76436 Wang, K.; Rallu, A.; Gerbeau, J.-F.; Farhat, C. 24 2011 A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number. Zbl 1242.76125 Kalashnikova, Irina; Tezaur, Radek; Farhat, Charbel 14 2011 Robust and provably second-order explicit-explicit and implicit-explicit staggered time-integrators for highly nonlinear compressible fluid-structure interaction problems. Zbl 1202.74167 Farhat, C.; Rallu, A.; Wang, K.; Belytschko, T. 34 2010 A higher-order discontinuous enrichment method for the solution of high Péclet advection-diffusion problems on unstructured meshes. Zbl 1183.76805 Farhat, C.; Kalashnikova, I.; Tezaur, R. 17 2010 A discontinuous enrichment method for the efficient solution of plate vibration problems in the medium-frequency regime. Zbl 1202.74201 Massimi, Paolo; Tezaur, Radek; Farhat, Charbel 6 2010 Total energy conservation in ALE schemes for compressible flows. Zbl 1329.76201 Dervieux, Alain; Farhat, Charbel; Koobus, Bruno; Vázquez, Mariano 1 2010 A method for interpolating on manifolds structural dynamics reduced-order models. Zbl 1176.74077 Amsallem, David; Cortial, Julien; Carlberg, Kevin; Farhat, Charbel 71 2009 A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain. Zbl 1183.76813 Petersen, Steffen; Farhat, Charbel; Tezaur, Radek 26 2009 A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers. Zbl 1171.76417 Farhat, Charbel; Tezaur, Radek; Toivanen, Jari 23 2009 A FETI-preconditioned conjugate gradient method for large-scale stochastic finite element problems. Zbl 1176.74182 Ghosh, Debraj; Avery, Philip; Farhat, Charbel 22 2009 The FETI family of domain decomposition methods for inequality-constrained quadratic programming: application to contact problems with conforming and nonconforming interfaces. Zbl 1227.74062 Avery, Philip; Farhat, Charbel 16 2009 A time-parallel implicit method for accelerating the solution of nonlinear structural dynamics problems. Zbl 1155.74428 Cortial, Julien; Farhat, Charbel 16 2009 Convergence analysis of a discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of Helmholtz problems. Zbl 1205.65298 Amara, Mohamed; Djellouli, Rabia; Farhat, Charbel 15 2009 A Padé-based factorization-free algorithm for identifying the eigenvalues missed by a generalized symmetric eigensolver. Zbl 1171.74462 Avery, P.; Farhat, C.; Hetmaniuk, U. 2 2009 A higher-order generalized ghost fluid method for the poor for the three-dimensional two-phase flow computation of underwater implosions. Zbl 1269.76073 Farhat, Charbel; Rallu, Arthur; Shankaran, Sriram 50 2008 A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems. Zbl 1194.74476 Tezaur, Radek; Zhang, Lin; Farhat, Charbel 30 2008 A discontinuous enrichment method for three-dimensional multiscale harmonic wave propagation problems in multi-fluid and fluid – solid media. Zbl 1195.74292 Massimi, Paolo; Tezaur, Radek; Farhat, Charbel 19 2008 Strain and stress computations in stochastic finite element methods. Zbl 1159.74425 Ghosh, Debraj; Farhat, Charbel 17 2008 Scalable FETI algorithms for frictionless contact problems. Zbl 1137.74052 Dostál, Zdeněk; Vondrák, Vít; Horák, David; Farhat, Charbel; Avery, Philip 3 2008 Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver. Zbl 1194.74107 Avery, Philip; Farhat, Charbel; Reese, Garth 17 2007 Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers. II: Blending FETI-DP and mortar methods and assembling floating substructures. Zbl 1173.74399 Bavestrello, H.; Avery, P.; Farhat, C. 9 2007 Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity. Zbl 1178.76259 Farhat, Charbel; Van der Zee, Kristoffer G.; Geuzaine, Philippe 103 2006 Reduced-order fluid/structure modeling of a complete aircraft configuration. Zbl 1124.76042 Lieu, T.; Farhat, C.; Lesoinne, M. 81 2006 Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems. Zbl 1110.76319 Tezaur, Radek; Farhat, Charbel 45 2006 Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses. Zbl 1113.74023 Farhat, Charbel; Cortial, Julien; Dastillung, Climène; Bavestrello, Henri 38 2006 The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime. Zbl 1110.74860 Zhang, Lin; Tezaur, Radek; Farhat, Charbel 30 2006 A dynamic variational multiscale method for large eddy simulations on unstructured meshes. Zbl 1116.76046 Farhat, Charbel; Rajasekharan, Ajaykumar; Koobus, Bruno 25 2006 A study of higher-order discontinuous Galerkin and quadratic least-squares stabilized finite element computations for acoustics. Zbl 1198.76069 Harari, Isaac; Tezaur, Radek; Farhat, Charbel 4 2006 FETI-DPH: a dual-primal domain decomposition method for acoustic scattering. Zbl 1189.76338 Farhat, Charbel; Avery, Philip; Tezaur, Radek; Li, Jing 30 2005 A FETI-DP method for the parallel iterative solution of indefinite and complex-valued solid and shell vibration problems. Zbl 1140.74550 Farhat, Charbel; Li, Jing; Avery, Philip 14 2005 An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics. Zbl 1086.74039 Farhat, Charbel; Li, Jing 13 2005 CFD on moving grids: from theory to realistic flutter, maneuvering, and multidisciplinary optimization. Zbl 1184.76808 Farhat, Charbel 6 2005 A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes –application to vortex shedding. Zbl 1079.76567 Koobus, Bruno; Farhat, Charbel 78 2004 Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids. Zbl 1068.76063 Farhat, Charbel; Geuzaine, Philippe 38 2004 Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems. Zbl 1075.76572 Farhat, Charbel; Tezaur, Radek; Weidemann-Goiran, Paul 27 2004 A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes. Zbl 1163.74344 Farhat, Charbel; Wiedemann-Goiran, Paul; Tezaur, Radek 19 2004 A numerically scalable dual-primal substructuring method for the solution of contact problems. I: The frictionless case. Zbl 1067.74572 Avery, Philip; Rebel, Gert; Lesoinne, Michel; Farhat, Charbel 19 2004 Improved accuracy for the Helmholtz equation in unbounded domains. Zbl 1060.76650 Turkel, Eli; Farhat, Charbel; Hetmaniuk, Ulrich 14 2004 A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime. Zbl 1027.76028 Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich 110 2003 Time-decomposed parallel time-integrators: Theory and feasibility studies for fluid, structure, and fluid-structure applications. Zbl 1032.74701 Farhat, Charbel; Chandesris, Marion 79 2003 Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter. Zbl 1009.76518 Farhat, Charbel; Geuzaine, Philippe; Brown, Gregory 53 2003 Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations. Zbl 1051.76038 Geuzaine, Philippe; Grandmont, Céline; Farhat, Charbel 45 2003 The discontinuous enrichment method for multiscale analysis. Zbl 1054.76048 Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich 40 2003 Sensitivity analysis and design optimization of three-dimensional nonlinear aeroelastic systems by the adjoint method. Zbl 1078.74633 Maute, K.; Nikbay, M.; Farhat, C. 21 2003 A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. II: Neumann boundary conditions. Zbl 1032.76595 Hetmaniuk, U.; Farhat, C. 6 2003 On the solution of inverse obstacle acoustic scattering problems with a limited aperture. Zbl 1048.76053 Djellouli, Rabia; Tezaur, Radek; Farhat, Charbel 1 2003 Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries. Zbl 0996.76058 Tezaur, Radek; Macedo, Antonini; Farhat, Charbel; Djellouli, Rabia 28 2002 On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method. Zbl 1009.35088 Farhat, Charbel; Tezaur, Radek; Djellouli, Rabia 19 2002 A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. I: Dirichlet boundary conditions. Zbl 1008.76039 Farhat, Charbel; Hetmaniuk, Ulrich 10 2002 A blended fictitious/real domain decomposition method for partially axisymmetric exterior Helmholtz problems with Dirichlet boundary conditions. Zbl 1013.65137 Hetmaniuk, Ulrich; Farhat, Charbel 1 2002 FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method. Zbl 1008.74076 Farhat, Charbel; Lesoinne, Michel; LeTallec, Patrick; Pierson, Kendall; Rixen, Daniel 222 2001 The discontinuous enrichment method. Zbl 1002.76065 Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P. 183 2001 Partitioned analysis of coupled mechanical systems. Zbl 0985.76075 Felippa, Carlos A.; Park, K. C.; Farhat, Charbel 175 2001 ...and 81 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,574 Authors 120 Farhat, Charbel H. 31 Rozza, Gianluigi 30 Dostál, Zdeněk 29 Klawonn, Axel 29 Ladevèze, Pierre 27 Tezaur, Radek 24 Hughes, Thomas J. R. 24 Wall, Wolfgang A. 23 Carlberg, Kevin T. 23 Park, Kwang-Chun 23 Rheinbach, Oliver 22 Manzoni, Andrea 21 Harari, Isaac 20 Bazilevs, Yuri 20 Codina, Ramon 20 Masud, Arif 20 Oñate Ibáñez de Navarra, Eugenio 20 Quarteroni, Alfio M. 20 Trevelyan, Jon 19 Desmet, Wim 19 Gander, Martin Jakob 19 Magoulès, Frédéric 18 Franca, Leopoldo Luis Cabo Penna 18 Gosselet, Pierre 18 Néron, David 18 Papadrakakis, Manolis 17 Dureisseix, David 17 Gravemeier, Volker 17 Iliescu, Traian 17 Kozubek, Tomas 17 Rixen, Daniel J. 17 Scovazzi, Guglielmo 16 Houzeaux, Guillaume 16 Maday, Yvon 16 Mandel, Jan 16 Stabile, Giovanni 15 Bijl, Hester 15 Bochev, Pavel B. 15 Laghrouche, Omar 15 Lanser, Martin 15 Nobile, Fabio 15 Wu, Shulin 14 Allix, Olivier 14 Brzobohatý, Tomáš 14 Choi, Youngsoo 14 Djellouli, Rabia 14 Felippa, Carlos A. 14 Hachem, Elie 14 Lesoinne, Michel 14 Navon, Ionel Michael 14 Pavarino, Luca Franco 14 Perugia, Ilaria 13 Amsallem, David 13 Benner, Peter 13 Fang, Fangxin 13 Hesthaven, Jan S. 13 Horák, David 13 Kim, Hyea Hyun 13 Lee, Chang-Ock 13 Mohamed, M. Shadi 13 Pain, Christopher C. 13 Roux, François-Xavier 13 Soize, Christian 13 van Zuijlen, Alexander H. 13 Vazquez, Mariano 13 Willcox, Karen E. 12 Hetmaniuk, Ulrich L. 12 Peherstorfer, Benjamin 12 Ricchiuto, Mario 12 Riou, Hervé 12 San, Omer 12 Taddei, Tommaso 12 Zahr, Matthew J. 11 Antoine, Xavier 11 Avery, Philip 11 Badia, Santiago 11 Degroote, Joris 11 Dolean, Victorita 11 Fernández, Miguel Ángel 11 Gerbeau, Jean-Frédéric 11 Haasdonk, Bernard 11 Jiang, Yaolin 11 Koobus, Bruno 11 Rey, Christian A. 11 Wang, Zhu 11 Widlund, Olof B. 10 Barucq, Hélène 10 Gunzburger, Max D. 10 Lew, Adrian J. 10 Liu, Gui-Rong 10 Ohayon, Roger 10 Soulaimani, Azzeddine 10 Sousedík, Bedřich 10 Van Brummelen, Harald 9 Akkerman, Ido 9 Baiges, Joan 9 Brunton, Steven L. 9 Chung, Tsz Shun Eric 9 Combescure, Alain 9 de Borst, René ...and 4,474 more Authors all top 5 Cited in 201 Serials 741 Computer Methods in Applied Mechanics and Engineering 402 Journal of Computational Physics 299 International Journal for Numerical Methods in Engineering 138 Computational Mechanics 125 Computers and Fluids 98 SIAM Journal on Scientific Computing 65 Computers & Mathematics with Applications 62 Journal of Computational and Applied Mathematics 53 Journal of Scientific Computing 39 International Journal for Numerical Methods in Fluids 38 Applied Mathematical Modelling 38 Advances in Computational Mathematics 34 Applied Mathematics and Computation 33 Applied Numerical Mathematics 33 Engineering Analysis with Boundary Elements 29 Archives of Computational Methods in Engineering 27 International Journal of Computational Fluid Dynamics 26 SIAM Journal on Numerical Analysis 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 Numerische Mathematik 21 Communications in Numerical Methods in Engineering 20 Mathematics and Computers in Simulation 16 International Journal of Computational Methods 16 Journal of Computational Acoustics 15 Journal of Fluid Mechanics 15 Mathematics of Computation 15 Numerical Methods for Partial Differential Equations 15 Communications in Computational Physics 14 M\(^3\)AS. 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Series A: Theory and Methods 2 Systems & Control Letters 2 Computer Aided Geometric Design 2 Finite Elements in Analysis and Design 2 Applied Mathematics Letters 2 Mathematics and Mechanics of Solids 2 Journal of Mathematical Fluid Mechanics ...and 101 more Serials all top 5 Cited in 39 Fields 1,887 Numerical analysis (65-XX) 1,290 Fluid mechanics (76-XX) 1,194 Mechanics of deformable solids (74-XX) 572 Partial differential equations (35-XX) 124 Biology and other natural sciences (92-XX) 117 Computer science (68-XX) 91 Systems theory; control (93-XX) 86 Optics, electromagnetic theory (78-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 53 Mechanics of particles and systems (70-XX) 53 Classical thermodynamics, heat transfer (80-XX) 52 Operations research, mathematical programming (90-XX) 44 Geophysics (86-XX) 43 Dynamical systems and ergodic theory (37-XX) 34 Statistics (62-XX) 27 Ordinary differential equations (34-XX) 24 Probability theory and stochastic processes (60-XX) 23 Approximations and expansions (41-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 18 Statistical mechanics, structure of matter (82-XX) 11 Information and communication theory, circuits (94-XX) 8 Integral equations (45-XX) 5 Differential geometry (53-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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