Archives of Computational Methods in EngineeringState of the Art Reviews Short Title: Arch. Comput. Methods Eng. Publisher: Springer Netherlands, Dordrecht; International Center for Numerical Methods in Engineering (CIMNE), Barcelona ISSN: 1134-3060; 1886-1784/e Online: https://link.springer.com/journal/11831/volumes-and-issues Comments: Journal Documents Indexed: 251 Publications (since 2000) References Indexed: 249 Publications with 30,288 References. all top 5 Latest Issues 25, No. 3 (2018) 25, No. 2 (2018) 25, No. 1 (2018) 24, No. 4 (2017) 24, No. 3 (2017) 24, No. 2 (2017) 24, No. 1 (2017) 23, No. 4 (2016) 23, No. 3 (2016) 23, No. 2 (2016) 23, No. 1 (2016) 22, No. 4 (2015) 22, No. 3 (2015) 22, No. 2 (2015) 22, No. 1 (2015) 21, No. 4 (2014) 21, No. 3 (2014) 21, No. 2 (2014) 21, No. 1 (2014) 20, No. 4 (2013) 20, No. 3 (2013) 20, No. 2 (2013) 20, No. 1 (2013) 19, No. 4 (2012) 19, No. 3 (2012) 19, No. 2 (2012) 19, No. 1 (2012) 18, No. 3 (2011) 18, No. 2 (2011) 18, No. 1 (2011) 17, No. 4 (2010) 17, No. 3 (2010) 17, No. 2 (2010) 17, No. 1 (2010) 16, No. 4 (2009) 16, No. 3 (2009) 16, No. 2 (2009) 16, No. 1 (2009) 15, No. 4 (2008) 15, No. 3 (2008) 15, No. 2 (2008) 15, No. 1 (2008) 14, No. 4 (2007) 14, No. 3 (2007) 14, No. 2 (2007) 14, No. 1 (2007) 13, No. 4 (2006) 13, No. 3 (2006) 13, No. 2 (2006) 13, No. 1 (2006) 12, No. 4 (2005) 12, No. 3 (2005) 12, No. 2 (2005) 12, No. 1 (2005) 11, No. 4 (2004) 11, No. 3 (2004) 11, No. 2 (2004) 11, No. 1 (2004) 10, No. 4 (2003) 10, No. 3 (2003) 10, No. 1-2 (2003) 9, No. 4 (2002) 9, No. 3 (2002) 9, No. 2 (2002) 9, No. 1 (2002) 8, No. 4 (2001) 8, No. 3 (2001) 8, No. 2 (2001) 8, No. 1 (2001) 7, No. 4 (2000) 7, No. 3 (2000) 7, No. 2 (2000) 7, No. 1 (2000) all top 5 Authors 15 Chinesta, Francisco 9 Cueto, Elias 6 Ammar, Amine 5 Badia, Santiago 5 Colominas, Ignasi 5 Oñate Ibáñez de Navarra, Eugenio 5 Tezduyar, Tayfun E. 4 Abisset-Chavanne, Emmanuelle 4 Aguado, Jose Vicente 4 Doblaré, Manuel 4 Liu, Gui-Rong 4 Morgan, Kenneth 4 Takizawa, Kenji 3 Bazilevs, Yuri 3 Carrera, Erasmo 3 Cervera, Miguel 3 Doltsinis, Ioannis St. 3 Gómez, Héctor J. 3 Houzeaux, Guillaume 3 Lyra, Paulo Roberto Maciel 3 Oller, Sergio 3 Patera, Anthony T. 3 Schrefler, Bernhard A. 3 Tamma, Kumar K. 3 Vandepitte, Dirk 3 Vazquez, Mariano 3 Xia, Liang 3 Zohdi, Tarek I. 2 Afzal, Asif 2 Alfaro, Iciar 2 Ansari, Zahid A. 2 Auricchio, Ferdinando 2 Bermúdez, Alfredo 2 Breitkopf, Piotr 2 Calvo, Begoña 2 Chakraverty, Snehashish 2 Chiumenti, Michele 2 Codina, Ramon 2 Cueto-Felgueroso, Luis 2 Desmet, Wim 2 Dialami, Narges 2 Eguzkitza, Beatriz 2 Giannakoglou, Kyriakos C. 2 Goyal, Deepam 2 Gravemeier, Volker 2 Gravvanis, George A. 2 Guillén González, Francisco M. 2 Hashiguchi, Koichi 2 Hervella-Nieto, Luis 2 Hsu, Ming-Chen 2 Khelladi, Sofiane 2 Kikuchi, Noboru 2 Kleiber, Michal 2 Kostov, Nikolay A. 2 Leygue, Adrien 2 Liu, Moubin 2 Löhner, Rainald 2 Maday, Yvon 2 Madej, Lukasz 2 Martín, Alberto F. 2 Martínez, Miguel Ángel 2 Martinez, Xavier 2 McIntyre, Spenser 2 Menezes, Luis F. 2 Murthy, K. Madhu 2 Navarrina, Fermín 2 Nogueira, Xesús 2 Nouy, Anthony 2 Oden, John Tinsley 2 Pabla, B. S. 2 Paris, Jose F. 2 Principe, Javier R. 2 Rao, G. Amba Prasad 2 Rodríguez, Rodolfo 2 Rossi, Riccardo 2 Ryckelynck, David 2 Sciumè, Giuseppe 2 Sharma, T. Karthikeya 2 Sukumar, Natarajan 2 Taddei, Tommaso 2 Volakis, John L. 2 Wang, Zhaobin 2 Zhou, Xiangmin 2 Zhu, Ying 1 Abdollahi, Amir 1 Abou-Kandil, Hisham 1 Adamczyk, Wojciech P. 1 Adeli, Hojjat 1 Adhikari, Sondipon 1 Ahmed, Naveed 1 Allix, Olivier 1 Almeida, Regina C. 1 Alves, José L. D. 1 Amezquita-Sanchez, Juan Pablo 1 Aplin, Andrew C. 1 Araújo dos Santos, José V. 1 Arias, Irene 1 Arora, Jasbir S. 1 Arregui-Mena, José David 1 Augarde, Charles Edward ...and 460 more Authors all top 5 Fields 137 Mechanics of deformable solids (74-XX) 75 Fluid mechanics (76-XX) 61 Numerical analysis (65-XX) 19 Biology and other natural sciences (92-XX) 15 Statistics (62-XX) 13 Classical thermodynamics, heat transfer (80-XX) 10 Computer science (68-XX) 8 Optics, electromagnetic theory (78-XX) 7 Partial differential equations (35-XX) 7 Mechanics of particles and systems (70-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Probability theory and stochastic processes (60-XX) 3 Geophysics (86-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 219 Publications have been cited 5,173 times in 4,216 Documents Cited by ▼ Year ▼ Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. Zbl 1304.65251 Rozza, G.; Huynh, D. B. P.; Patera, A. T. 465 2008 Smoothed particle hydrodynamics (SPH): an overview and recent developments. Zbl 1348.76117 Liu, M. B.; Liu, G. R. 343 2010 Finite element methods for flow problems with moving boundaries and interfaces. Zbl 1039.76037 Tezduyar, Tayfun E. 153 2001 The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. Zbl 1348.65056 Schillinger, Dominik; Ruess, Martin 136 2015 Recent advances in the construction of polygonal finite element interpolants. Zbl 1101.65108 Sukumar, N.; Malsch, E. A. 118 2006 Space-time and ALE-VMS techniques for patient-specific cardiovascular fluid-structure interaction modeling. Zbl 1354.92023 Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E. 116 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224 Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 114 2012 Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models. Zbl 1269.65106 Chinesta, Francisco; Ammar, Amine; Cueto, Elías 114 2010 Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking. Zbl 1140.74549 Carrera, Erasmo 107 2003 Multiscale methods for composites: A review. Zbl 1170.74304 Kanouté, P.; Boso, D. P.; Chaboche, J. L.; Schrefler, B. A. 104 2009 Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075 Baur, Ulrike; Benner, Peter; Feng, Lihong 102 2014 Topology optimization in aircraft and aerospace structures design. Zbl 1360.74128 Zhu, Ji-Hong; Zhang, Wei-Hong; Xia, Liang 95 2016 Theories and finite elements for multilayered anisotropic, composite plates and shells. Zbl 1062.74048 Carrera, E. 95 2002 Computational methods for parachute fluid-structure interactions. Zbl 1354.76113 Takizawa, Kenji; Tezduyar, Tayfun E. 90 2012 Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312 Zeng, W.; Liu, G. R. 89 2018 Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems. Zbl 1269.76079 Nouy, Anthony 81 2010 Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods. Zbl 1348.74095 Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Kostov, Nikolay; McIntyre, Spenser 79 2014 Engineering analysis and design with ALE-VMS and space-time methods. Zbl 1348.74104 Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Øiseth, Ole; Mathisen, Kjell M.; Kostov, Nikolay; McIntyre, Spenser 76 2014 PGD-based computational vademecum for efficient design, optimization and control. Zbl 1354.65100 Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J. V.; Cueto, E.; Gonzalez, D.; Alfaro, I.; Ammar, A.; Huerta, A. 74 2013 Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations. Zbl 1360.65036 Nouy, Anthony 74 2009 Non-overlapping domain decomposition methods in structural mechanics. Zbl 1171.74041 Gosselet, Pierre; Rey, Christian 74 2006 Advances in iterative methods and preconditioners for the Helmholtz equation. Zbl 1158.65078 Erlangga, Yogi A. 71 2008 Reduced basis techniques for stochastic problems. Zbl 1269.65005 Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 66 2010 An object-oriented environment for developing finite element codes for multi-disciplinary applications. Zbl 1360.76130 Dadvand, Pooyan; Rossi, Riccardo; Oñate, Eugenio 65 2010 A manifold learning approach to data-driven computational elasticity and inelasticity. Zbl 1390.74195 Ibañez, Rubén; Abisset-Chavanne, Emmanuelle; Aguado, Jose Vicente; Gonzalez, David; Cueto, Elias; Chinesta, Francisco 65 2018 A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism. Zbl 1206.78008 Cimrák, Ivan 57 2008 Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models. Zbl 1348.82080 Tierra, G.; Guillén-González, F. 52 2015 Overview and recent advances in natural neighbour Galerkin methods. Zbl 1050.74001 Cueto, E.; Sukumar, N.; Calvo, B.; Martínez, M. A.; Cegoñino, J.; Doblaré, M. 48 2003 The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications. Zbl 0987.74004 Tamma, K. K.; Zhou, X.; Sha, D. 48 2000 Trefftz-based methods for time-harmonic acoustics. Zbl 1170.76332 Pluymers, B.; Van Hal, B.; Vandepitte, D.; Desmet, W. 47 2007 On the a priori model reduction: overview and recent developments. Zbl 1142.76462 Ryckelynck, D.; Chinesta, F.; Cueto, E.; Ammar, A. 46 2006 A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105 Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 46 2017 The variational multiscale method for laminar and turbulent flow. Zbl 1177.76341 Gravemeier, V. 41 2006 Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. Zbl 1392.74074 Xia, Liang; Xia, Qi; Huang, Xiaodong; Xie, Yi Min 40 2018 Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis. Zbl 1105.74043 Moens, D.; Vandepitte, D. 37 2006 The hysteresis Bouc-Wen model, a survey. Zbl 1170.74300 Ismail, Mohammed; Ikhouane, Fayçal; Rodellar, José 37 2009 Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications. Zbl 1348.76054 Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C. 36 2016 On the convergence of a greedy rank-one update algorithm for a class of linear systems. Zbl 1269.65120 Ammar, A.; Chinesta, F.; Falcó, A. 36 2010 Proper generalized decomposition for multiscale and multiphysics problems. Zbl 1269.74209 Néron, David; Ladevèze, Pierre 35 2010 Variational foundations and generalized unified theory of RVE-based multiscale models. Zbl 1348.74003 Blanco, Pablo J.; Sánchez, Pablo J.; de Souza Neto, Eduardo A.; Feijóo, Raúl A. 33 2016 Recent advances on topology optimization of multiscale nonlinear structures. Zbl 1364.74086 Xia, Liang; Breitkopf, Piotr 33 2017 Developments in structural-acoustic optimization for passive noise control. Zbl 1099.74538 Marburg, Steffen 31 2002 Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques. Zbl 1354.74066 Degroote, Joris 29 2013 Toward predictive multiscale modeling of vascular tumor growth, computational and experimental oncology for tumor prediction. Zbl 1360.92059 Oden, J. Tinsley; Lima, Ernesto A. B. F.; Almeida, Regina C.; Feng, Yusheng; Rylander, Marissa Nichole; Fuentes, David; Faghihi, Danial; Rahman, Mohammad M.; DeWitt, Matthew; Gadde, Manasa; Zhou, J. Cliff 28 2016 Topology optimization of elastic continua using restriction. Zbl 1141.74356 Borrvall, T. 27 2001 An overview on numerical analyses of nematic liquid crystal flows. Zbl 1284.76247 Badia, S.; Guillén-Gónzalez, F.; Gutiérrez-Santacreu, J. V. 27 2011 Perfectly matched layers for time-harmonic second order elliptic problems. Zbl 1359.76217 Bermúdez, A.; Hervella-Nieto, L.; Prieto, A.; Rodríguez, R. 25 2010 Multiscale modeling of concrete. From mesoscale to macroscale. Zbl 1284.74105 Unger, Jörg F.; Eckardt, Stefan 25 2011 Numerical simulation of two-phase free surface flows. Zbl 1097.76047 Caboussat, Alexandre 24 2005 Meshless finite difference method with higher order approximation – applications in mechanics. Zbl 1354.74313 Milewski, Sławomir 24 2012 Automating the finite element method. Zbl 1158.74048 Logg, Anders 24 2007 A fully implicit computational strategy for strongly coupled fluid-solid interaction. Zbl 1160.74044 Dettmer, W. G.; Perić, D. 24 2007 Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison. Zbl 1348.76099 Elgeti, S.; Sauerland, H. 22 2016 Non-intrusive coupling: recent advances and scalable nonlinear domain decomposition. Zbl 1348.65175 Duval, Mickaël; Passieux, Jean-Charles; Salaün, Michel; Guinard, Stéphane 21 2016 FEMPAR: an object-oriented parallel finite element framework. Zbl 1392.65005 Badia, Santiago; Martín, Alberto F.; Principe, Javier 21 2018 Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element. Zbl 1104.74058 Gal, Erez; Levy, Robert 20 2006 High-order finite volume methods and multiresolution reproducing kernels. Zbl 1300.76018 Cueto-Felgueroso, Luis; Colominas, Ignasi 20 2008 Routes for efficient computational homogenization of nonlinear materials using the proper generalized decompositions. Zbl 1269.74187 Lamari, H.; Ammar, A.; Cartraud, P.; Legrain, G.; Chinesta, F.; Jacquemin, F. 20 2010 Performance and comparison of cell-centered and node-centered unstructured finite volume discretizations for shallow water free surface flows. Zbl 1284.76263 Delis, A. I.; Nikolos, I. K.; Kazolea, M. 19 2011 A posteriori error estimation for acoustic wave propagation problems. Zbl 1145.76033 Oden, J. Tinsley; Prudhomme, Serge; Demkowicz, Leszek 18 2005 Computational micro-macro material testing. Zbl 1027.74016 Zohdi, T. I.; Wriggers, P. 18 2001 Dissipative particle dynamics (DPD): an overview and recent developments. Zbl 1348.76004 Liu, M. B.; Liu, G. R.; Zhou, L. W.; Chang, J. Z. 18 2015 Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics. Zbl 1348.76097 Badia, Santiago; Codina, Ramon; Planas, Ramon 18 2015 Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172 Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk 18 2015 Structural analysis of masonry historical constructions. Classical and advanced approaches. Zbl 1356.74133 Roca, Pere; Cervera, Miguel; Gariup, Giuseppe; Pela’, Luca 17 2010 Practical application of the stochastic finite element method. Zbl 1348.65160 Arregui-Mena, José David; Margetts, Lee; Mummery, Paul M. 17 2016 Implementation and scalability analysis of balancing domain decomposition methods. Zbl 1354.65261 Badia, Santiago; Martín, Alberto F.; Principe, Javier 17 2013 Algebraic pressure segregation methods for the incompressible Navier-Stokes equations. Zbl 1144.76027 Badia, S.; Codina, R. 17 2008 A first step towards the use of proper general decomposition method for structural optimization. Zbl 1269.74182 Leygue, A.; Verron, E. 17 2010 On the dynamics of charged electromagnetic particulate jets. Zbl 1269.76133 Zohdi, T. I. 16 2010 Depth-averaged modelling of turbulent shallow water flow with wet-dry fronts. Zbl 1127.76013 Cea, Luis; Puertas, Jerónimo; Vázquez-Cendón, María-Elena 15 2007 Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods. Zbl 1437.65220 Houzeaux, Guillaume; Cajas, J. C.; Discacciati, M.; Eguzkitza, B.; Gargallo-Peiró, A.; Rivero, M.; Vázquez, M. 15 2017 Computational aspects of the mechanics of complex materials. Zbl 1152.74315 Mariano, Paolo Maria; Stazi, Furio Lorenzo 14 2005 Large scale structural optimization: Computational methods and optimization algorithms. Zbl 1065.74053 Papadrakakis, M.; Lagaros, N. D.; Tsompanakis, Y.; Plevris, V. 14 2001 Mass matrix templates: general description and 1D examples. Zbl 1348.74311 Felippa, Carlos; Guo, Qiong; Park, K. 14 2015 System identification methods for (operational) modal analysis: review and comparison. Zbl 1354.93004 Reynders, Edwin 14 2012 A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. Zbl 1360.86004 Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol 14 2016 State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements. Zbl 1348.74318 Nachbagauer, Karin 14 2014 Lattice element models and their peculiarities. Zbl 1397.74168 Nikolić, Mijo; Karavelić, Emir; Ibrahimbegovic, Adnan; Miščević, Predrag 14 2018 A biphasic continuum approach for viscoelastic high-porosity foams: comprehensive theory, numerics, and application. Zbl 1170.74325 Markert, Bernd 13 2008 Algorithms and strategies for treatment of large deformation frictional contact in the numerical simulation of deep drawing process. Zbl 1144.74042 Oliveira, M. C.; Alves, J. L.; Menezes, L. F. 13 2008 A review and comparative study of upwind biased schemes for compressible flow computation. III: Multidimensional extension on unstructured grids. Zbl 1142.76413 Lyra, P. R. M.; Morgan, K. 13 2002 Parallel iterative substructuring in structural mechanics. Zbl 1179.74157 Rheinbach, Oliver 13 2009 Recirculating flows involving short fiber suspensions: numerical difficulties and efficient advanced micro-macro solvers. Zbl 1170.76333 Pruliere, Etienne; Ammar, Amine; El Kissi, Nadia; Chinesta, Francisco 12 2009 On computational modeling in tumor growth. Zbl 1349.92013 Sciumè, G.; Gray, W. G.; Ferrari, M.; Decuzzi, P.; Schrefler, Bernard A. 12 2013 Numerical methods for fluid-structure interaction models of aortic valves. Zbl 1348.74099 Marom, Gil 12 2015 Adaptive embedded/immersed unstructured grid techniques. Zbl 1127.76047 Löhner, Rainald; Cebral, Juan R.; Camelli, Fernando F.; Baum, Joseph D.; Mestreau, Eric L.; Soto, Orlando A. 12 2007 A manifold learning approach for integrated computational materials engineering. Zbl 1390.74196 Lopez, Elena; Gonzalez, D.; Aguado, Jose V.; Abisset-Chavanne, Emmanuelle; Cueto, E.; Binetruy, C.; Chinesta, Francisco 12 2018 Multiscale computational homogenization: review and proposal of a new enhanced-first-order method. Zbl 1392.74079 Otero, Fermin; Oller, Sergio; Martinez, Xavier 12 2018 Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow. Zbl 1397.76053 Rasthofer, Ursula; Gravemeier, Volker 12 2018 Aerodynamic shape optimization using first and second order adjoint and direct approaches. Zbl 1170.76348 Papadimitriou, Dimitrios I.; Giannakoglou, Kyriakos C. 11 2008 A critical assessment of Kriging model variants for high-fidelity uncertainty quantification in dynamics of composite shells. Zbl 1376.62133 Mukhopadhyay, T.; Chakraborty, S.; Dey, S.; Adhikari, S.; Chowdhury, R. 11 2017 Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review. Zbl 1375.74012 Behera, L.; Chakraverty, S. 11 2017 Mechanical models of artery walls. Zbl 1139.74036 Kalita, Piotr; Schaefer, Robert 11 2008 Explicit approximate inverse preconditioning techniques. Zbl 1032.65046 Gravvanis, G. A. 11 2002 Computational methods for elastoplasticity: an overview of conventional and less-conventional approaches. Zbl 1397.74028 Scalet, Giulia; Auricchio, Ferdinando 11 2018 High performance inverse preconditioning. Zbl 1172.65019 Gravvanis, George A. 10 2009 High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes. Zbl 1437.65117 Boscheri, Walter 10 2017 Multigrid methods on semi-structured grids. Zbl 1354.65264 Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J. 10 2012 Boundary element simulation of thermal waves. Zbl 1177.80096 Rapún, María-Luisa; Sayas, Francisco-Javier 10 2007 Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312 Zeng, W.; Liu, G. R. 89 2018 A manifold learning approach to data-driven computational elasticity and inelasticity. Zbl 1390.74195 Ibañez, Rubén; Abisset-Chavanne, Emmanuelle; Aguado, Jose Vicente; Gonzalez, David; Cueto, Elias; Chinesta, Francisco 65 2018 Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. Zbl 1392.74074 Xia, Liang; Xia, Qi; Huang, Xiaodong; Xie, Yi Min 40 2018 FEMPAR: an object-oriented parallel finite element framework. Zbl 1392.65005 Badia, Santiago; Martín, Alberto F.; Principe, Javier 21 2018 Lattice element models and their peculiarities. Zbl 1397.74168 Nikolić, Mijo; Karavelić, Emir; Ibrahimbegovic, Adnan; Miščević, Predrag 14 2018 A manifold learning approach for integrated computational materials engineering. Zbl 1390.74196 Lopez, Elena; Gonzalez, D.; Aguado, Jose V.; Abisset-Chavanne, Emmanuelle; Cueto, E.; Binetruy, C.; Chinesta, Francisco 12 2018 Multiscale computational homogenization: review and proposal of a new enhanced-first-order method. Zbl 1392.74079 Otero, Fermin; Oller, Sergio; Martinez, Xavier 12 2018 Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow. Zbl 1397.76053 Rasthofer, Ursula; Gravemeier, Volker 12 2018 Computational methods for elastoplasticity: an overview of conventional and less-conventional approaches. Zbl 1397.74028 Scalet, Giulia; Auricchio, Ferdinando 11 2018 kPCA-based parametric solutions within the PGD framework. Zbl 06887320 González, D.; Aguado, Jose V.; Cueto, E.; Abisset-Chavanne, Emmanuelle; Chinesta, Francisco 9 2018 A higher-order Chimera method for finite volume schemes. Zbl 1397.76089 Ramírez, Luis; Nogueira, Xesús; Ouro, Pablo; Navarrina, Fermín; Khelladi, Sofiane; Colominas, Ignasi 9 2018 Simulation-based classification; a model-order-reduction approach for structural health monitoring. Zbl 1390.74078 Taddei, T.; Penn, J. D.; Yano, M.; Patera, A. T. 7 2018 Background information of deep learning for structural engineering. Zbl 1390.68538 Lee, Seunghye; Ha, Jingwan; Zokhirova, Mehriniso; Moon, Hyeonjoon; Lee, Jaehong 7 2018 Big data in experimental mechanics and model order reduction: today’s challenges and tomorrow’s opportunities. Zbl 1390.74197 Neggers, Jan; Allix, Olivier; Hild, François; Roux, Stéphane 7 2018 Optimal design of piezoelectric modal transducers. Zbl 1392.74077 Ruiz, David; Bellido, José Carlos; Donoso, Alberto 6 2018 A critical appraisal of design of experiments for uncertainty quantification. Zbl 1397.62271 Bhattacharyya, Biswarup 5 2018 System-based approaches for structural optimization of flexible mechanisms. Zbl 1397.74158 Tromme, Emmanuel; Held, Alexander; Duysinx, Pierre; Brüls, Olivier 5 2018 Nonlinear shape-manifold learning approach: concepts, tools and applications. Zbl 1390.68548 Meng, Liang; Breitkopf, Piotr; Le Quilliec, Guénhaël; Raghavan, Balaji; Villon, Pierre 4 2018 Observable dictionary learning for high-dimensional statistical inference. Zbl 1390.68547 Mathelin, Lionel; Kasper, Kévin; Abou-Kandil, Hisham 4 2018 Reduced basis’ acquisition by a learning process for rapid on-line approximation of solution to PDE’s: laminar flow past a backstep. Zbl 1391.76328 Gallinari, Patrick; Maday, Yvon; Sangnier, Maxime; Schwander, Olivier; Taddei, Tommaso 4 2018 A review and study on Ritz method admissible functions with emphasis on buckling and free vibration of isotropic and anisotropic beams and plates. Zbl 1397.74077 Moreno-García, Pablo; Araújo dos Santos, José V.; Lopes, Hernani 4 2018 Reduced modeling of unknown trajectories. Zbl 1390.37131 Héas, Patrick; Herzet, Cédric 3 2018 Plant species identification using computer vision techniques: a systematic literature review. Zbl 1392.92051 Wäldchen, Jana; Mäder, Patrick 1 2018 A review of variational multiscale methods for the simulation of turbulent incompressible flows. Zbl 1360.76105 Ahmed, Naveed; Chacón Rebollo, Tomás; John, Volker; Rubino, Samuele 46 2017 Recent advances on topology optimization of multiscale nonlinear structures. Zbl 1364.74086 Xia, Liang; Breitkopf, Piotr 33 2017 Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods. Zbl 1437.65220 Houzeaux, Guillaume; Cajas, J. C.; Discacciati, M.; Eguzkitza, B.; Gargallo-Peiró, A.; Rivero, M.; Vázquez, M. 15 2017 A critical assessment of Kriging model variants for high-fidelity uncertainty quantification in dynamics of composite shells. Zbl 1376.62133 Mukhopadhyay, T.; Chakraborty, S.; Dey, S.; Adhikari, S.; Chowdhury, R. 11 2017 Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review. Zbl 1375.74012 Behera, L.; Chakraverty, S. 11 2017 High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes. Zbl 1437.65117 Boscheri, Walter 10 2017 An overview of the combined interface boundary condition method for fluid-structure interaction. Zbl 1391.74073 He, Tao; Zhang, Kai 9 2017 Modeling and simulation of laser processing of particulate-functionalized materials. Zbl 1360.74126 Zohdi, T. I. 8 2017 Parallelization strategies for computational fluid dynamics software: state of the art review. Zbl 1364.76152 Afzal, Asif; Ansari, Zahid; Rimaz Faizabadi, Ahmed; Ramis, M. K. 8 2017 Numerical simulation of fracking in shale rocks: current state and future approaches. Zbl 1364.76221 Hattori, Gabriel; Trevelyan, Jon; Augarde, Charles E.; Coombs, William M.; Aplin, Andrew C. 7 2017 Multiphase flow in deforming porous media: a review. Zbl 1364.76224 Pesavento, Francesco; Schrefler, Bernhard A.; Sciumè, Giuseppe 7 2017 Vibration prediction of bladed disks coupled by friction joints. Zbl 1375.74042 Krack, Malte; Salles, Loic; Thouverez, Fabrice 6 2017 Historical origin and recent development on normal directional impact models for rigid body contact simulation: a critical review. Zbl 1364.74067 Banerjee, Arnab; Chanda, Avishek; Das, Raj 6 2017 Computational modeling of tumor-induced angiogenesis. Zbl 1391.92008 Vilanova, Guillermo; Colominas, Ignasi; Gomez, Hector 6 2017 Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems. Zbl 1391.74208 Ivvan Valdez, S.; Botello, Salvador; Ochoa, Miguel A.; Marroquín, José L.; Cardoso, Victor 5 2017 Complementarity problems in structural engineering: an overview. Zbl 1360.74121 Bolzon, Gabriella 4 2017 Surface smoothing procedures in computational contact mechanics. Zbl 1360.74122 Neto, D. M.; Oliveira, M. C.; Menezes, L. F. 4 2017 Challenges in thermo-mechanical analysis of friction stir welding processes. Zbl 1360.74044 Dialami, N.; Chiumenti, M.; Cervera, M.; Agelet de Saracibar, C. 4 2017 Game theory based evolutionary algorithms: a review with Nash applications in structural engineering optimization problems. Zbl 1394.90566 Greiner, David; Periaux, Jacques; Emperador, Jose M.; Galván, Blas; Winter, Gabriel 4 2017 Review of plant identification based on image processing. Zbl 1375.68100 Wang, Zhaobin; Li, Huale; Zhu, Ying; Xu, TianFang 2 2017 Computational fluid dynamics in turbomachinery: a review of state of the art. Zbl 1375.76005 Pinto, Runa Nivea; Afzal, Asif; D’Souza, Loyan Vinson; Ansari, Zahid; Mohammed Samee, A. D. 2 2017 Data-based models for the prediction of dam behaviour: a review and some methodological considerations. Zbl 1360.74017 Salazar, Fernando; Morán, Rafael; Toledo, Miguel Á.; Oñate, Eugenio 2 2017 Review of reduced order models for heat and moisture transfer in building physics with emphasis in PGD approaches. Zbl 1375.80006 Berger, Julien; Mendes, Nathan; Guernouti, Sihem; Woloszyn, Monika; Chinesta, Francisco 1 2017 Topology optimization in aircraft and aerospace structures design. Zbl 1360.74128 Zhu, Ji-Hong; Zhang, Wei-Hong; Xia, Liang 95 2016 Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications. Zbl 1348.76054 Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C. 36 2016 Variational foundations and generalized unified theory of RVE-based multiscale models. Zbl 1348.74003 Blanco, Pablo J.; Sánchez, Pablo J.; de Souza Neto, Eduardo A.; Feijóo, Raúl A. 33 2016 Toward predictive multiscale modeling of vascular tumor growth, computational and experimental oncology for tumor prediction. Zbl 1360.92059 Oden, J. Tinsley; Lima, Ernesto A. B. F.; Almeida, Regina C.; Feng, Yusheng; Rylander, Marissa Nichole; Fuentes, David; Faghihi, Danial; Rahman, Mohammad M.; DeWitt, Matthew; Gadde, Manasa; Zhou, J. Cliff 28 2016 Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison. Zbl 1348.76099 Elgeti, S.; Sauerland, H. 22 2016 Non-intrusive coupling: recent advances and scalable nonlinear domain decomposition. Zbl 1348.65175 Duval, Mickaël; Passieux, Jean-Charles; Salaün, Michel; Guinard, Stéphane 21 2016 Practical application of the stochastic finite element method. Zbl 1348.65160 Arregui-Mena, José David; Margetts, Lee; Mummery, Paul M. 17 2016 A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. Zbl 1360.86004 Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol 14 2016 Signal processing techniques for vibration-based health monitoring of smart structures. Zbl 1348.94011 Amezquita-Sanchez, Juan Pablo; Adeli, Hojjat 7 2016 Numerical modeling and experimental validation of free surface flow problems. Zbl 1348.76098 Cruchaga, Marcela; Battaglia, Laura; Storti, Mario; D’Elía, Jorge 7 2016 Structural dynamic model updating techniques: a state of the art review. Zbl 1360.74143 Sehgal, Shankar; Kumar, Harmesh 6 2016 Multiscale modeling of complex dynamic problems: an overview and recent developments. Zbl 1348.74303 Jebahi, Mohamed; Dau, Frédéric; Charles, Jean-Luc; Iordanoff, Ivan 5 2016 Exact formulation of subloading surface model: unified constitutive law for irreversible mechanical phenomena in solids. Zbl 1360.74031 Hashiguchi, Koichi 5 2016 Multiphysics and thermodynamic formulations for equilibrium and non-equilibrium interactions: non-linear finite elements applied to multi-coupled active materials. Zbl 1360.80013 Pérez-Aparicio, José L.; Palma, Roberto; Taylor, Robert L. 4 2016 The vibration monitoring methods and signal processing techniques for structural health monitoring: a review. Zbl 1360.74057 Goyal, D.; Pabla, B. S. 4 2016 Finite element guidelines for simulation of delamination dominated failures in composite materials validated by case studies. Zbl 1348.74315 Girão Coelho, Ana M. 3 2016 On the theories and numerics of continuum models for adaptation processes in biological tissues. Zbl 1348.74246 Saez, P. 2 2016 A comparative study of non-traditional methods for vehicle crashworthiness and NVH optimization. Zbl 1360.90320 Kiani, Morteza; Yildiz, Ali R. 2 2016 Computational foot modeling: scope and applications. Zbl 1360.74141 Morales-Orcajo, Enrique; Bayod, Javier; Barbosa de Las Casas, Estevam 2 2016 Homogeneous charge compression ignition (HCCI) engines: a review. Zbl 1360.80002 Sharma, T. Karthikeya; Rao, G. Amba Prasad; Murthy, K. Madhu 1 2016 The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models. Zbl 1348.65056 Schillinger, Dominik; Ruess, Martin 136 2015 Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models. Zbl 1348.82080 Tierra, G.; Guillén-González, F. 52 2015 Dissipative particle dynamics (DPD): an overview and recent developments. Zbl 1348.76004 Liu, M. B.; Liu, G. R.; Zhou, L. W.; Chang, J. Z. 18 2015 Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics. Zbl 1348.76097 Badia, Santiago; Codina, Ramon; Planas, Ramon 18 2015 Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. Zbl 1348.65172 Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk 18 2015 Mass matrix templates: general description and 1D examples. Zbl 1348.74311 Felippa, Carlos; Guo, Qiong; Park, K. 14 2015 Numerical methods for fluid-structure interaction models of aortic valves. Zbl 1348.74099 Marom, Gil 12 2015 Application of \(hp\)-adaptive finite element method to two-scale computation. Zbl 1348.65168 Oleksy, Marta; Cecot, Witold 7 2015 Variational theory and computations in stochastic plasticity. Zbl 1348.74063 Rosić, Bojana V.; Matthies, Hermann G. 7 2015 Phase-field modeling of fracture in ferroelectric materials. Zbl 1348.74294 Abdollahi, Amir; Arias, Irene 6 2015 Depth averaged models for fast landslide propagation: mathematical, rheological and numerical aspects. Zbl 1348.76177 Pastor, M.; Blanc, T.; Haddad, B.; Drempetic, V.; Morles, Mila; Dutto, P.; Stickle, M.; Mira, P.; Merodo, J. 5 2015 Alya: computational solid mechanics for supercomputers. Zbl 1348.74007 Casoni, E.; Jérusalem, A.; Samaniego, C.; Eguzkitza, B.; Lafortune, P.; Tjahjanto, D. D.; Sáez, X.; Houzeaux, G.; Vázquez, M. 5 2015 Finite element modeling of free surface flow in variable porosity media. Zbl 1348.76153 Larese, Antonia; Rossi, Riccardo; Oñate, Eugenio 5 2015 Modelling techniques for vibro-acoustic dynamics of poroelastic materials. Zbl 1348.74096 Deckers, Elke; Jonckheere, Stijn; Vandepitte, Dirk; Desmet, Wim 4 2015 BIM-enabled structural design: impacts and future developments in structural modelling, analysis and optimisation processes. Zbl 1348.74334 Chi, Hung-Lin; Wang, Xiangyu; Jiao, Yi 1 2015 Multibody approach to musculoskeletal and joint loading. Zbl 1348.74244 Kłodowski, Adam; Rantalainen, Timo 1 2015 Review on numerical modeling of instrumented indentation tests for elastoplastic material behavior identification. Zbl 1348.74004 Marteau, J.; Bouvier, S.; Bigerelle, M. 1 2015 A second-gradient theory of dilute suspensions of flexible rods in a Newtonian fluid. Zbl 1348.76175 Abisset-Chavanne, Emmanuelle; Férec, Julien; Ausias, Gilles; Cueto, Elias; Chinesta, Francisco; Keunings, Roland 1 2015 Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075 Baur, Ulrike; Benner, Peter; Feng, Lihong 102 2014 Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods. Zbl 1348.74095 Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Kostov, Nikolay; McIntyre, Spenser 79 2014 Engineering analysis and design with ALE-VMS and space-time methods. Zbl 1348.74104 Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Øiseth, Ole; Mathisen, Kjell M.; Kostov, Nikolay; McIntyre, Spenser 76 2014 State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements. Zbl 1348.74318 Nachbagauer, Karin 14 2014 Recent advances in parallel advancing front grid generation. Zbl 1349.65667 Löhner, Rainald 8 2014 Error assessment in structural transient dynamics. Zbl 1354.74304 Verdugo, Francesc; Parés, Núria; Díez, Pedro 6 2014 On the road to personalized medicine: multiscale computational modeling of bone tissue. Zbl 1348.92010 Podshivalov, Lev; Fischer, Anath; Bar-Yoseph, Pinhas Z. 4 2014 Sintering at particle scale: an Eulerian computing framework to deal with strong topological and material discontinuities. Zbl 1349.74334 Pino-Muñoz, Daniel; Bruchon, J.; Drapier, S.; Valdivieso, F. 3 2014 Variational-based reduced-order model in dynamic substructuring of coupled structures through a dissipative physical interface: recent advances. Zbl 1348.74075 Ohayon, Roger; Soize, Christian; Sampaio, R. 3 2014 Computational modeling and sub-grid scale stabilization of incompressibility and convection in the numerical simulation of friction stir welding processes. Zbl 1354.76093 Agelet de Saracibar, C.; Chiumenti, M.; Cervera, M.; Dialami, N.; Seret, A. 2 2014 How constitutive model complexity can affect the capability to fit experimental data: a focus on human carotid arteries and extension/inflation data. Zbl 1348.76198 Auricchio, F.; Conti, M.; Ferrara, Anna 1 2014 PGD-based computational vademecum for efficient design, optimization and control. Zbl 1354.65100 Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J. V.; Cueto, E.; Gonzalez, D.; Alfaro, I.; Ammar, A.; Huerta, A. 74 2013 Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques. Zbl 1354.74066 Degroote, Joris 29 2013 Implementation and scalability analysis of balancing domain decomposition methods. Zbl 1354.65261 Badia, Santiago; Martín, Alberto F.; Principe, Javier 17 2013 On computational modeling in tumor growth. Zbl 1349.92013 Sciumè, G.; Gray, W. G.; Ferrari, M.; Decuzzi, P.; Schrefler, Bernard A. 12 2013 GPU acceleration for FEM-based structural analysis. Zbl 1354.65246 Georgescu, Serban; Chow, Peter; Okuda, Hiroshi 8 2013 ...and 119 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,122 Authors 101 Tezduyar, Tayfun E. 80 Takizawa, Kenji 72 Chinesta, Francisco 64 Rozza, Gianluigi 55 Bazilevs, Yuri 41 Benner, Peter 41 Cueto, Elias 38 Badia, Santiago 35 Hsu, Ming-Chen 32 Rossi, Riccardo 31 Schillinger, Dominik 30 Oñate Ibáñez de Navarra, Eugenio 29 Natarajan, Sundararajan 28 Carrera, Erasmo 28 Patera, Anthony T. 27 Quarteroni, Alfio M. 27 Zohdi, Tarek I. 26 Ammar, Amine 24 Tamma, Kumar K. 23 Bordas, Stéphane Pierre Alain 23 Desmet, Wim 22 Gosselet, Pierre 22 Liu, Gui-Rong 21 Yan, Jinhui 20 Huerta, Antonio 20 Nouy, Anthony 19 Doblaré, Manuel 19 Steinmann, Paul 18 Chen, Yanlai 18 Hughes, Thomas J. R. 18 Maday, Yvon 18 Wriggers, Peter 17 Díez, Pedro 17 Liu, Moubin 17 Matthies, Hermann Georg 17 Néron, David 17 Vandepitte, Dirk 16 Chamoin, Ludovic 16 Gómez, Héctor J. 16 Gugercin, Serkan 16 Idelsohn, Sergio Rodolfo 16 Kamensky, David 16 Korobenko, Artem 16 Martín, Alberto F. 16 Nguyen, Ngoc Cuong 16 Nogueira, Xesús 16 Willcox, Karen E. 15 Alfaro, Iciar 15 Allix, Olivier 15 Ballarin, Francesco 15 Feng, Lihong 15 Gao, Liang 15 Giannakoglou, Kyriakos C. 15 Ladevèze, Pierre 15 Passieux, Jean-Charles 15 Peherstorfer, Benjamin 15 Reali, Alessandro 15 Taddei, Tommaso 15 Yano, Masayuki 14 Chai, Yingbin 14 Colominas, Ignasi 14 Deckers, Elke 14 Düster, Alexander 14 Haasdonk, Bernard 14 Liu, Wing Kam 14 Manzoni, Andrea 13 Bouclier, Robin 13 Codina, Ramon 13 Dede’, Luca 13 Kuraishi, Takashi 13 Leygue, Adrien 13 Rey, Christian A. 13 Ryzhakov, Pavel B. 13 Wall, Wolfgang A. 13 Wüchner, Roland 13 Xia, Liang 12 Auricchio, Ferdinando 12 Gravemeier, Volker 12 Grepl, Martin A. 12 Luo, Zhen 12 Oden, John Tinsley 12 Praetorius, Dirk 12 Ruess, Martin 12 Stabile, Giovanni 11 Abisset-Chavanne, Emmanuelle 11 Dettmer, Wulf G. 11 Jiang, Lijian 11 Knezevic, David J. 11 Li, Wei 11 Milewski, Slawomir 11 Nguyen-Xuan, Hung 11 Otoguro, Yuto 11 Pagani, Alfonso 11 Rubino, Samuele 11 Soize, Christian 11 Sukumar, Natarajan 11 Van Brummelen, Harald 11 Veroy, Karen 11 Zlotnik, Sergio 10 Carlberg, Kevin T. ...and 7,022 more Authors all top 5 Cited in 264 Journals 880 Computer Methods in Applied Mechanics and Engineering 421 International Journal for Numerical Methods in Engineering 312 Computational Mechanics 289 Journal of Computational Physics 139 Engineering Analysis with Boundary Elements 136 Computers and Fluids 103 Computers & Mathematics with Applications 99 Applied Mathematical Modelling 96 Archives of Computational Methods in Engineering 90 SIAM Journal on Scientific Computing 62 International Journal of Computational Methods 59 Acta Mechanica 59 Journal of Computational and Applied Mathematics 59 European Journal of Mechanics. 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Electronic Transactions on Numerical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Foundations of Computational Mathematics ...and 164 more Journals all top 5 Cited in 43 Fields 2,229 Numerical analysis (65-XX) 2,058 Mechanics of deformable solids (74-XX) 1,354 Fluid mechanics (76-XX) 601 Partial differential equations (35-XX) 206 Biology and other natural sciences (92-XX) 140 Systems theory; control (93-XX) 138 Calculus of variations and optimal control; optimization (49-XX) 133 Computer science (68-XX) 124 Optics, electromagnetic theory (78-XX) 117 Statistics (62-XX) 117 Operations research, mathematical programming (90-XX) 104 Probability theory and stochastic processes (60-XX) 91 Statistical mechanics, structure of matter (82-XX) 87 Classical thermodynamics, heat transfer (80-XX) 78 Mechanics of particles and systems (70-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 50 Geophysics (86-XX) 46 Approximations and expansions (41-XX) 30 Ordinary differential equations (34-XX) 25 Dynamical systems and ergodic theory (37-XX) 19 Information and communication theory, circuits (94-XX) 15 Operator theory (47-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Functional analysis (46-XX) 8 Quantum theory (81-XX) 6 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 5 Integral equations (45-XX) 4 Integral transforms, operational calculus (44-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematics education (97-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year