## Farhat, Charbel H.

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 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: 188 Publications since 1987 5 Contributions as Editor Co-Authors: 124 Co-Authors with 187 Joint Publications 2,331 Co-Co-Authors
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### Co-Authors

 5 single-authored 32 Tezaur, Radek 20 Lesoinne, Michel 14 Avery, Philip 12 Roux, François-Xavier 11 Amsallem, David 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 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 Crivelli, Luis A. 4 Dervieux, Alain 4 Main, Alex 4 Rallu, Arthur 3 Brown, Gregory W. 3 Grimberg, Sebastian 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 Argrow, Brian M. 2 Balajewicz, Maciej J. 2 Bavestrello, Henri 2 Boncoraglio, Gabriele 2 Borker, Raunak 2 Brogniez, Sebastien 2 Cai, Xiao-Chuan 2 Chapman, Todd 2 Chiou, J. C. 2 Choi, Youngsoo 2 de Borst, René 2 de la Bourdonnaye, Armel 2 Degand, C. 2 Felippa, Carlos A. 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 1 Amara, Mohamed 1 Anderson, Spenser 1 As’ad, Faisal 1 Barnett, Joshua 1 Belytschko, Ted Bohdan 1 Bergmann, Michel 1 Bhardwaj, Manoj 1 Bou-Mosleh, Charbel 1 Carpentier, Romuald 1 Chandesris, Marion 1 Darve, Eric 1 Dastillung, Climène 1 De Santis, Dante 1 Della Piéta, Patrick 1 Dolbow, John E. 1 Dostál, Zdeněk 1 Downer, Janice D. 1 Dubois-Pèlerin, Yves 1 Dureisseix, David 1 Fezoui, Loula 1 Gmati, Nabil 1 Grétarsson, Jón Tómas 1 Guery, Jean-François 1 Guillard, Hervé 1 Haasdonk, Bernard 1 Hachem, Elie 1 Horák, David 1 Iollo, Angelo 1 Lacour, Catherine 1 Larrouturou, Bernard 1 Lea, Patrick ...and 24 more Co-Authors
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### Serials

 63 International Journal for Numerical Methods in Engineering 44 Computer Methods in Applied Mechanics and Engineering 21 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 1 Computers and Fluids 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 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 International Journal of Computational Fluid Dynamics 1 Contemporary Mathematics 1 Revue Européenne de Mécanique Numérique 1 European Journal of Computational Mechanics
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### Fields

 103 Mechanics of deformable solids (74-XX) 95 Fluid mechanics (76-XX) 94 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 7 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)

### Citations contained in zbMATH Open

173 Publications have been cited 5,505 times in 2,689 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
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
2001
The discontinuous enrichment method. Zbl 1002.76065
Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P.
2001
Partitioned analysis of coupled mechanical systems. Zbl 0985.76075
Felippa, Carlos A.; Park, K. C.; Farhat, Charbel
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
2013
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.
1998
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
2011
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
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
1996
Bubble functions prompt unusual stabilized finite element methods. Zbl 1067.76567
Franca, Leopoldo P.; Farhat, Charbel
1995
A scalable dual-primal domain decomposition method. Zbl 1051.65119
Farhat, Charbel; Lesoinne, Michael; Pierson, Kendall
2000
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
2003
Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems. Zbl 0991.74069
Farhat, C.; Lesoinne, M.
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
1995
Torsional springs for two-dimensional dynamic unstructured fluid meshes. Zbl 0961.76070
Farhat, C.; Degand, C.; Koobus, B.; Lesoinne, M.
1998
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
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
1995
Implicit parallel processing in structural mechanics. Zbl 0805.73062
Farhat, Charbel; Roux, François-Xavier
1994
Residual-free bubbles for the Helmholtz equation. Zbl 0897.73062
Franca, Leopoldo P.; Farhat, Charbel; Macedo, Antonini P.; Lesoinne, Michel
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
2001
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
2004
Reduced-order fluid/structure modeling of a complete aircraft configuration. Zbl 1124.76042
Lieu, T.; Farhat, C.; Lesoinne, M.
2006
Nonlinear model order reduction based on local reduced-order bases. Zbl 1352.65212
Amsallem, David; Zahr, Matthew J.; Farhat, Charbel
2012
On the significance of the geometric conservation law for flow computations on moving meshes. Zbl 0993.76049
Guillard, Hervé; Farhat, Charbel
2000
Time-decomposed parallel time-integrators: Theory and feasibility studies for fluid, structure, and fluid-structure applications. Zbl 1032.74701
Farhat, Charbel; Chandesris, Marion
2003
An online method for interpolating linear parametric reduced-order models. Zbl 1269.65059
Amsallem, David; Farhat, Charbel
2011
A method for interpolating on manifolds structural dynamics reduced-order models. Zbl 1176.74077
Amsallem, David; Cortial, Julien; Carlberg, Kevin; Farhat, Charbel
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
1999
Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes. Zbl 0943.76055
Koobus, Bruno; Farhat, Charbel
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
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
1998
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
2014
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
2000
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
2000
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
2003
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
2000
A scalable Lagrange multiplier based domain decomposition method for time-dependent problems. Zbl 0844.73077
Farhat, Charbel; Chen, Po-Shu; Mandel, Jan
1995
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
2008
Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems. Zbl 1110.76319
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
2003
The discontinuous enrichment method for multiscale analysis. Zbl 1054.76048
Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich
2003
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
2015
A numerically scalable domain decomposition method for the solution of frictionless contact problems. Zbl 0988.74064
Dureisseix, D.; Farhat, C.
2001
Stabilization of projection-based reduced-order models. Zbl 1253.90184
Amsallem, David; Farhat, Charbel
2012
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
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
1998
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
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
2006
Progressive construction of a parametric reduced-order model for PDE-constrained optimization. Zbl 1352.49029
Zahr, Matthew J.; Farhat, Charbel
2015
A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. Zbl 1235.74352
Carlberg, Kevin; Farhat, Charbel
2011
A scalable substructuring method by Lagrange multipliers for plate bending problems. Zbl 0956.74059
Mandel, Jan; Tezaur, Radek; Farhat, Charbel
1999
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.
2010
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
1999
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
2000
A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems. Zbl 1194.74476
Tezaur, Radek; Zhang, Lin; Farhat, Charbel
2008
Extending substructure based iterative solvers to multiple load and repeated analyses. Zbl 0851.73059
Farhat, Charbel; Crivelli, Luis; Roux, François Xavier
1994
FETI-DPH: a dual-primal domain decomposition method for acoustic scattering. Zbl 1189.76338
Farhat, Charbel; Avery, Philip; Tezaur, Radek; Li, Jing
2005
The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime. Zbl 1110.74860
Zhang, Lin; Tezaur, Radek; Farhat, Charbel
2006
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
2002
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
2000
A transient FETI methodology for large-scale parallel implicit computations in structural mechanics. Zbl 0824.73067
Farhat, Charbel; Crivelli, Luis; Roux, Francois-Xavier
1994
Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics. Zbl 0825.73997
Farhat, Charbel; Lesoinne, Michel
1993
Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems. Zbl 1075.76572
Farhat, Charbel; Tezaur, Radek; Weidemann-Goiran, Paul
2004
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
1998
A dynamic variational multiscale method for large eddy simulations on unstructured meshes. Zbl 1116.76046
Farhat, Charbel; Rajasekharan, Ajaykumar; Koobus, Bruno
2006
Updating finite element dynamic models using an element-by-element sensitivity methodology. Zbl 0783.73068
Farhat, Charbel; Hemez, Francois M.
1993
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
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
2009
On a component mode synthesis method and its application to incompatible substructures. Zbl 0900.73338
1994
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.
1995
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.
2012
Unusual stabilized finite element methods and residual free bubbles. Zbl 0904.76045
Franca, Leopoldo P.; Farhat, Charbel; Lesoinne, Michel; Russo, Alessandro
1998
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
2012
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.
2011
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
2012
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
1991
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
2008
A FETI-preconditioned conjugate gradient method for large-scale stochastic finite element problems. Zbl 1176.74182
Ghosh, Debraj; Avery, Philip; Farhat, Charbel
2009
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
2004
A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations. Zbl 0936.76036
Cai, Xiao-Chuan; Farhat, Charbel; Sarkis, Marcus
1998
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
2002
Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192
Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric
2020
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
2004
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
1998
Sensitivity analysis and design optimization of three-dimensional nonlinear aeroelastic systems by the adjoint method. Zbl 1078.74633
Maute, K.; Nikbay, M.; Farhat, C.
2003
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.
2010
Strain and stress computations in stochastic finite element methods. Zbl 1159.74425
Ghosh, Debraj; Farhat, Charbel
2008
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
2012
An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems. Zbl 1352.74132
Hetmaniuk, Ulrich; Tezaur, Radek; Farhat, Charbel
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
2007
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
2009
Improved accuracy for the Helmholtz equation in unbounded domains. Zbl 1060.76650
Turkel, Eli; Farhat, Charbel; Hetmaniuk, Ulrich
2004
A time-parallel implicit method for accelerating the solution of nonlinear structural dynamics problems. Zbl 1155.74428
Cortial, Julien; Farhat, Charbel
2009
Incorporation of linear multipoint constraints in substructure based iterative solvers. I: A numerically scalable algorithm. Zbl 0944.74071
Farhat, Charbel; Lacour, Catherine; Rixen, Daniel
1998
Implicit time integration of a class of constrained hybrid formulations. I. Spectral stability theory. Zbl 1067.74592
Farhat, Charbel; Crivelli, Luis; Géradin, Michel
1995
The discontinuous enrichment method for medium-frequency Helmholtz problems with a spatially variable wavenumber. Zbl 1295.76030
Tezaur, Radek; Kalashnikova, Irina; Farhat, Charbel
2014
A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number. Zbl 1242.76125
Kalashnikova, Irina; Tezaur, Radek; Farhat, Charbel
2011
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
2009
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.
2014
Two-dimensional viscous flow computations on the Connection Machine: Unstructured meshes, upwind schemes and massively parallel computations. Zbl 0767.76049
Farhat, Charbel; Fezoui, Loula; Lanteri, Stéphane
1993
Computational bottlenecks for PROMs: precomputation and hyperreduction. Zbl 1483.65154
Farhat, Charbel; Grimberg, Sebastian; Manzoni, Andrea; Quarteroni, Alfio
2021
The DGDD method for reduced-order modeling of conservation laws. Zbl 07505919
Riffaud, Sébastien; Bergmann, Michel; Farhat, Charbel; Grimberg, Sebastian; Iollo, Angelo
2021
Learning constitutive relations from indirect observations using deep neural networks. Zbl 1437.65192
Huang, Daniel Z.; Xu, Kailai; Farhat, Charbel; Darve, Eric
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
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
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
2018
Borker, Raunak; Farhat, Charbel; Tezaur, Radek
2017
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
2017
A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection-diffusion problems. Zbl 1439.76052
Borker, Raunak; Farhat, Charbel; Tezaur, Radek
2017
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
2016
Projection-based model reduction for contact problems. Zbl 1352.74196
Balajewicz, Maciej; Amsallem, David; Farhat, Charbel
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
2015
Progressive construction of a parametric reduced-order model for PDE-constrained optimization. Zbl 1352.49029
Zahr, Matthew J.; Farhat, Charbel
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
2015
A computational framework for the simulation of high-speed multi-material fluid-structure interaction problems with dynamic fracture. Zbl 1352.76079
Wang, Kevin Guanyuan; Lea, Patrick; Farhat, Charbel
2015
Special issue: Advances in embedded interface methods. Zbl 1351.65002
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
2014
The discontinuous enrichment method for medium-frequency Helmholtz problems with a spatially variable wavenumber. Zbl 1295.76030
Tezaur, Radek; Kalashnikova, Irina; Farhat, Charbel
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.
2014
Reduction of nonlinear embedded boundary models for problems with evolving interfaces. Zbl 1352.65322
Balajewicz, Maciej; Farhat, Charbel
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
2014
A hybrid discontinuous in space and time Galerkin method for wave propagation problems. Zbl 1352.65376
Wang, Dalei; Tezaur, Radek; Farhat, Charbel
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
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
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
2013
A high-order discontinuous Galerkin method with Lagrange multipliers for advection-diffusion problems. Zbl 1286.65150
Brogniez, S.; Farhat, C.; Hachem, E.
2013
Nonlinear model order reduction based on local reduced-order bases. Zbl 1352.65212
Amsallem, David; Zahr, Matthew J.; Farhat, Charbel
2012
Stabilization of projection-based reduced-order models. Zbl 1253.90184
Amsallem, David; Farhat, Charbel
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.
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
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
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
2012
Computational algorithms for tracking dynamic fluid-structure interfaces in embedded boundary methods. Zbl 1412.74035
Wang, K.; Grétarsson, J.; Main, A.; Farhat, C.
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
2012
A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates. Zbl 1250.81040
Farhat, Charbel; Toivanen, Jari
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
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
2011
An online method for interpolating linear parametric reduced-order models. Zbl 1269.65059
Amsallem, David; Farhat, Charbel
2011
A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. Zbl 1235.74352
Carlberg, Kevin; Farhat, Charbel
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.
2011
A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number. Zbl 1242.76125
Kalashnikova, Irina; Tezaur, Radek; Farhat, Charbel
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.
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.
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
2010
Total energy conservation in ALE schemes for compressible flows. Zbl 1329.76201
Dervieux, Alain; Farhat, Charbel; Koobus, Bruno; Vázquez, Mariano
2010
A method for interpolating on manifolds structural dynamics reduced-order models. Zbl 1176.74077
Amsallem, David; Cortial, Julien; Carlberg, Kevin; Farhat, Charbel
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
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
2009
A FETI-preconditioned conjugate gradient method for large-scale stochastic finite element problems. Zbl 1176.74182
Ghosh, Debraj; Avery, Philip; Farhat, Charbel
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
2009
A time-parallel implicit method for accelerating the solution of nonlinear structural dynamics problems. Zbl 1155.74428
Cortial, Julien; Farhat, Charbel
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
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.
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
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
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
2008
Strain and stress computations in stochastic finite element methods. Zbl 1159.74425
Ghosh, Debraj; Farhat, Charbel
2008
Scalable FETI algorithms for frictionless contact problems. Zbl 1137.74052
Dostál, Zdeněk; Vondrák, Vít; Horák, David; Farhat, Charbel; Avery, Philip
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
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.
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
2006
Reduced-order fluid/structure modeling of a complete aircraft configuration. Zbl 1124.76042
Lieu, T.; Farhat, C.; Lesoinne, M.
2006
Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems. Zbl 1110.76319
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
2006
The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime. Zbl 1110.74860
Zhang, Lin; Tezaur, Radek; Farhat, Charbel
2006
A dynamic variational multiscale method for large eddy simulations on unstructured meshes. Zbl 1116.76046
Farhat, Charbel; Rajasekharan, Ajaykumar; Koobus, Bruno
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
2006
FETI-DPH: a dual-primal domain decomposition method for acoustic scattering. Zbl 1189.76338
Farhat, Charbel; Avery, Philip; Tezaur, Radek; Li, Jing
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
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
2005
CFD on moving grids: from theory to realistic flutter, maneuvering, and multidisciplinary optimization. Zbl 1184.76808
Farhat, Charbel
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
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
2004
Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems. Zbl 1075.76572
Farhat, Charbel; Tezaur, Radek; Weidemann-Goiran, Paul
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
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
2004
Improved accuracy for the Helmholtz equation in unbounded domains. Zbl 1060.76650
Turkel, Eli; Farhat, Charbel; Hetmaniuk, Ulrich
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
2003
Time-decomposed parallel time-integrators: Theory and feasibility studies for fluid, structure, and fluid-structure applications. Zbl 1032.74701
Farhat, Charbel; Chandesris, Marion
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
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
2003
The discontinuous enrichment method for multiscale analysis. Zbl 1054.76048
Farhat, Charbel; Harari, Isaac; Hetmaniuk, Ulrich
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.
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.
2003
On the solution of inverse obstacle acoustic scattering problems with a limited aperture. Zbl 1048.76053
Djellouli, Rabia; Tezaur, Radek; Farhat, Charbel
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
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
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
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
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
2001
The discontinuous enrichment method. Zbl 1002.76065
Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P.
2001
Partitioned analysis of coupled mechanical systems. Zbl 0985.76075
Felippa, Carlos A.; Park, K. C.; Farhat, Charbel
2001
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
2001
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
2001
A numerically scalable domain decomposition method for the solution of frictionless contact problems. Zbl 0988.74064
Dureisseix, D.; Farhat, C.
2001
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
2001
Iterative solution of large-scale acoustic scattering problems with multiple right hand-sides by a domain decomposition method with Lagrange multipliers. Zbl 1002.76072
Tezaur, Radek; Macedo, Antonini; Farhat, Charbel
2001
A fast method for solving acoustic scattering problems in frequency bands. Zbl 1153.76394
Djellouli, Rabia; Farhat, Charbel; Tezaur, Radek
2001
Multidisciplinary simulation of the maneuvering of an aircraft. Zbl 1002.68531
Farhat, C.; Pierson, K.; Degand, C.
2001
A scalable dual-primal domain decomposition method. Zbl 1051.65119
Farhat, Charbel; Lesoinne, Michael; Pierson, Kendall
2000
...and 73 more Documents
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### Cited by 3,938 Authors

 110 Farhat, Charbel H. 28 Dostál, Zdeněk 27 Ladevèze, Pierre 25 Klawonn, Axel 25 Tezaur, Radek 23 Hughes, Thomas J. R. 23 Rozza, Gianluigi 21 Harari, Isaac 21 Rheinbach, Oliver 21 Wall, Wolfgang A. 20 Carlberg, Kevin T. 19 Bazilevs, Yuri 19 Masud, Arif 19 Oñate Ibáñez de Navarra, Eugenio 19 Trevelyan, Jon 18 Codina, Ramon 18 Desmet, Wim 18 Franca, Leopoldo Luis Cabo Penna 18 Magoulès, Frédéric 18 Rixen, Daniel J. 17 Dureisseix, David 17 Gosselet, Pierre 16 Gravemeier, Volker 16 Houzeaux, Guillaume 16 Kozubek, Tomas 16 Néron, David 16 Papadrakakis, Manolis 16 Scovazzi, Guglielmo 15 Mandel, Jan 15 Quarteroni, Alfio M. 14 Bijl, Hester 14 Gander, Martin Jakob 14 Laghrouche, Omar 14 Lesoinne, Michel 14 Maday, Yvon 14 Nobile, Fabio 13 Allix, Olivier 13 Benner, Peter 13 Brzobohatý, Tomáš 13 Djellouli, Rabia 13 Manzoni, Andrea 13 Perugia, Ilaria 13 Stabile, Giovanni 13 Vazquez, Mariano 13 Wu, Shulin 12 Amsallem, David 12 Bochev, Pavel B. 12 Felippa, Carlos A. 12 Hetmaniuk, Ulrich L. 12 Horák, David 12 Lanser, Martin 12 Mohamed, M. Shadi 12 Riou, Hervé 12 Roux, François-Xavier 12 Soize, Christian 12 van Zuijlen, Alexander H. 11 Antoine, Xavier 11 Badia, Santiago 11 Degroote, Joris 11 Fernández, Miguel Ángel 11 Gerbeau, Jean-Frédéric 11 Kim, Hyea Hyun 11 Navon, Ionel Michael 11 Pain, Christopher C. 11 Pavarino, Luca Franco 11 Rey, Christian A. 11 Willcox, Karen E. 10 Avery, Philip 10 Fang, Fangxin 10 Koobus, Bruno 10 Lee, Chang-Ock 10 Lew, Adrian J. 10 Liu, Gui-Rong 10 Peherstorfer, Benjamin 10 Soulaimani, Azzeddine 10 Van Brummelen, Harald 10 Widlund, Olof B. 9 Barucq, Hélène 9 Chung, Tsz Shun Eric 9 Combescure, Alain 9 de Borst, René 9 Dolean, Victorita 9 Düster, Alexander 9 Gravouil, Anthony 9 Hachem, Elie 9 Idelsohn, Sergio Rodolfo 9 Jiang, Yaolin 9 Matthies, Hermann Georg 9 Nakshatrala, K. B. 9 Ohayon, Roger 9 Ricchiuto, Mario 9 Tezduyar, Tayfun E. 9 Turkel, Eli L. 9 Valentin, Frédéric 9 Vandepitte, Dirk 9 Vierendeels, Jan 9 Wang, Zhu 9 Zampini, Stefano 8 Akkerman, Ido 8 Belytschko, Ted Bohdan ...and 3,838 more Authors
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### Cited in 186 Serials

 647 Computer Methods in Applied Mechanics and Engineering 336 Journal of Computational Physics 264 International Journal for Numerical Methods in Engineering 130 Computational Mechanics 117 Computers and Fluids 84 SIAM Journal on Scientific Computing 57 Journal of Computational and Applied Mathematics 54 Computers & Mathematics with Applications 43 Journal of Scientific Computing 39 International Journal for Numerical Methods in Fluids 34 Advances in Computational Mathematics 32 Applied Mathematical Modelling 30 Applied Mathematics and Computation 30 Applied Numerical Mathematics 30 Engineering Analysis with Boundary Elements 29 Archives of Computational Methods in Engineering 23 International Journal of Computational Fluid Dynamics 22 Numerische Mathematik 21 SIAM Journal on Numerical Analysis 21 Communications in Numerical Methods in Engineering 21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Mathematics and Computers in Simulation 16 Journal of Computational Acoustics 15 International Journal of Computational Methods 14 Mathematics of Computation 14 Engineering Computations 12 Journal of Fluid Mechanics 12 Numerical Methods for Partial Differential Equations 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Communications in Computational Physics 9 Wave Motion 9 Numerical Algorithms 9 Numerical Linear Algebra with Applications 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 ETNA. Electronic Transactions on Numerical Analysis 9 Computational Geosciences 9 SIAM/ASA Journal on Uncertainty Quantification 8 SIAM Journal on Matrix Analysis and Applications 8 Computing and Visualization in Science 8 Mathematical and Computer Modelling of Dynamical Systems 8 European Journal of Mechanics. B. Fluids 7 Mathematical Problems in Engineering 7 Structural and Multidisciplinary Optimization 6 Acta Mechanica 6 Journal of Mathematical Analysis and Applications 6 International Journal of Computer Mathematics 6 Advances in Engineering Software 6 Physics of Fluids 6 European Journal of Mechanics. A. Solids 6 International Journal for Numerical Methods in Biomedical Engineering 5 Applicable Analysis 5 Computing 5 Archive of Applied Mechanics 5 Computational Optimization and Applications 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Computational Methods in Applied Mathematics 5 Multiscale Modeling & Simulation 5 International Journal for Computational Methods in Engineering Science and Mechanics 4 Inverse Problems 4 Journal of the Franklin Institute 4 Calcolo 4 COMPEL 4 Applications of Mathematics 4 SIAM Review 4 Multibody System Dynamics 4 Nonlinear Dynamics 4 Journal of Numerical Mathematics 4 GAMM-Mitteilungen 4 Communications on Applied Mathematics and Computation 3 Mathematical Methods in the Applied Sciences 3 BIT 3 Physica D 3 Mathematical and Computer Modelling 3 Linear Algebra and its Applications 3 SIAM Journal on Mathematical Analysis 3 Computational and Applied Mathematics 3 Journal of Vibration and Control 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Communications in Nonlinear Science and Numerical Simulation 3 SIAM Journal on Applied Dynamical Systems 3 Advances in Applied Mathematics and Mechanics 3 Communications in Applied and Industrial Mathematics 3 Research in the Mathematical Sciences 2 International Journal of Modern Physics B 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 International Journal of Engineering Science 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mechanics Research Communications 2 Nonlinear Analysis. Theory, Methods & Applications. 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 Vietnam Journal of Mathematics 2 Journal of Mathematical Fluid Mechanics 2 Optimization and Engineering 2 Thai Journal of Mathematics ...and 86 more Serials
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### Cited in 39 Fields

 1,586 Numerical analysis (65-XX) 1,163 Fluid mechanics (76-XX) 1,070 Mechanics of deformable solids (74-XX) 490 Partial differential equations (35-XX) 97 Biology and other natural sciences (92-XX) 76 Optics, electromagnetic theory (78-XX) 76 Systems theory; control (93-XX) 66 Computer science (68-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 49 Classical thermodynamics, heat transfer (80-XX) 47 Operations research, mathematical programming (90-XX) 46 Mechanics of particles and systems (70-XX) 41 Geophysics (86-XX) 32 Dynamical systems and ergodic theory (37-XX) 26 Statistics (62-XX) 24 Ordinary differential equations (34-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Probability theory and stochastic processes (60-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Approximations and expansions (41-XX) 11 Information and communication theory, circuits (94-XX) 7 Integral equations (45-XX) 6 Differential geometry (53-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Operator theory (47-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Global analysis, analysis on manifolds (58-XX)

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