Computer Methods in Applied Mechanics and Engineering Short Title: Comput. Methods Appl. Mech. Eng. Publisher: Elsevier (North-Holland), Amsterdam ISSN: 0045-7825 Online: https://www.sciencedirect.com/journal/computer-methods-in-applied-mechanics-and-engineering/issues Comments: Journal Documents Indexed: 13,133 Publications (since 1972) References Indexed: 12,997 Publications with 519,319 References. all top 5 Latest Issues 430 (2024) 429 (2024) 428 (2024) 427 (2024) 426 (2024) 425 (2024) 424 (2024) 423 (2024) 422 (2024) 421 (2024) 420 (2024) 419 (2024) 418, Part B (2024) 418, Part A (2024) 417, Part B (2023) 417, Part A (2023) 416 (2023) 415 (2023) 414 (2023) 413 (2023) 412 (2023) 411 (2023) 410 (2023) 409 (2023) 408 (2023) 407 (2023) 406 (2023) 405 (2023) 404 (2023) 403, Part B (2023) 403, Part A (2023) 402 (2022) 401, Part B (2022) 401, Part A (2022) 400 (2022) 399 (2022) 398 (2022) 397 (2022) 396 (2022) 395 (2022) 394 (2022) 393 (2022) 392 (2022) 391 (2022) 390 (2022) 389 (2022) 388 (2022) 387 (2021) 386 (2021) 385 (2021) 384 (2021) 383 (2021) 382 (2021) 381 (2021) 380 (2021) 379 (2021) 378 (2021) 377 (2021) 376 (2021) 375 (2021) 374 (2021) 373 (2021) 372 (2020) 371 (2020) 370 (2020) 369 (2020) 368 (2020) 367 (2020) 366 (2020) 365 (2020) 364 (2020) 363 (2020) 362 (2020) 361 (2020) 360 (2020) 359 (2020) 358 (2020) 357 (2019) 356 (2019) 355 (2019) 354 (2019) 353 (2019) 352 (2019) 351 (2019) 350 (2019) 349 (2019) 348 (2019) 347 (2019) 346 (2019) 345 (2019) 344 (2019) 343 (2019) 342 (2018) 341 (2018) 340 (2018) 339 (2018) 338 (2018) 337 (2018) 336 (2018) 335 (2018) ...and 628 more Volumes all top 5 Authors 165 Hughes, Thomas J. R. 97 Liu, Wing Kam 90 Oden, John Tinsley 88 Argyris, John Hadji 88 Rabczuk, Timon 79 Babuška, Ivo 77 Liew, Kim Meow 76 Wriggers, Peter 75 Belytschko, Ted Bohdan 65 Demkowicz, Leszek 64 Tezduyar, Tayfun E. 60 Oñate Ibáñez de Navarra, Eugenio 54 Codina, Ramon 52 Karniadakis, George Em 52 Papadrakakis, Manolis 47 Bazilevs, Yuri 47 Farhat, Charbel H. 46 Calo, Victor Manuel 46 Larson, Mats G. 46 Steinmann, Paul 45 Hansbo, Peter 45 Quarteroni, Alfio M. 44 Noor, Ahmed Khairy 44 Wall, Wolfgang A. 43 Bordas, Stéphane Pierre Alain 43 de Lorenzis, Laura 42 Idelsohn, Sergio Rodolfo 42 Reali, Alessandro 41 Ladevèze, Pierre 41 Reddy, Junuthula Narasimha 39 Fish, Jacob 39 Zohdi, Tarek I. 38 Franca, Leopoldo Luis Cabo Penna 38 Zhang, Yongjie Jessica 37 Gil, Antonio J. 37 Liu, Gui-Rong 36 Desmet, Wim 36 Guo, Xu 36 Ortiz, Michael 36 Simo, Juan Carlos 35 Park, Kwang-Chun 35 Sigmund, Ole 35 Sun, WaiChing 35 Wheeler, Mary Fanett 34 Borja, Ronaldo I. 34 Kiendl, Josef 34 Litvin, Faydor L. 33 Song, Chongmin 32 Burman, Erik 32 Dawson, Clint N. 32 Taylor, Robert Leroy 31 Huerta, Antonio 31 Ibrahimbegović, Adnan 31 Miehe, Christian 31 Nguyen-Xuan, Hung 31 Pardo, David 31 Schillinger, Dominik 31 Tortorelli, Daniel A. 30 Bletzinger, Kai-Uwe 30 Gao, Liang 30 Rank, Ernst 30 Zhang, Lu-Wen 29 Auricchio, Ferdinando 29 Carey, Graham Francis 29 Evans, John A. 28 Beirão da Veiga, Lourenço 28 Li, Shaofan 28 Reese, Stefanie 28 Sangalli, Giancarlo 28 Wohlmuth, Barbara I. 27 Bonet, Javier 27 Chen, Jiun-Shyan 27 Harari, Isaac 27 Kang, Zhan 27 Masud, Arif 27 Reddy, B. Dayanand 27 Scovazzi, Guglielmo 27 Zhang, Weihong 27 Zhuang, Xiaoying 26 Badia, Santiago 26 Gunzburger, Max D. 26 Han, Xu 26 Kikuchi, Noboru 26 Stein, Erwin 25 Ainsworth, Mark 25 de Borst, René 25 Kuhl, Ellen 25 Loula, Abimael Fernando Dourado 25 Scott, Michael A. 25 Wüchner, Roland 24 Ghanem, Roger G. 24 Givoli, Dan 24 Gómez, Héctor J. 24 Le Tallec, Patrick 24 Oberai, Assad A. 24 Ortigosa, Rogelio 24 Shephard, Mark S. 24 Sluys, Lambertus Johannes 24 Van Brummelen, Harald 23 Buffa, Annalisa ...and 15,823 more Authors all top 5 Fields 8,192 Mechanics of deformable solids (74-XX) 5,354 Numerical analysis (65-XX) 3,401 Fluid mechanics (76-XX) 776 Partial differential equations (35-XX) 415 Biology and other natural sciences (92-XX) 331 Computer science (68-XX) 310 Mechanics of particles and systems (70-XX) 302 Classical thermodynamics, heat transfer (80-XX) 296 Statistics (62-XX) 234 Calculus of variations and optimal control; optimization (49-XX) 221 Operations research, mathematical programming (90-XX) 220 Optics, electromagnetic theory (78-XX) 151 Probability theory and stochastic processes (60-XX) 138 Geophysics (86-XX) 122 Statistical mechanics, structure of matter (82-XX) 83 Systems theory; control (93-XX) 60 Ordinary differential equations (34-XX) 60 Approximations and expansions (41-XX) 59 General and overarching topics; collections (00-XX) 57 Integral equations (45-XX) 39 Dynamical systems and ergodic theory (37-XX) 30 Quantum theory (81-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 29 Differential geometry (53-XX) 23 Information and communication theory, circuits (94-XX) 17 History and biography (01-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Functions of a complex variable (30-XX) 13 Potential theory (31-XX) 10 Operator theory (47-XX) 9 Combinatorics (05-XX) 9 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Functional analysis (46-XX) 4 Astronomy and astrophysics (85-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 11,469 Publications have been cited 220,914 times in 63,480 Documents Cited by ▼ Year ▼ Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Zbl 1151.74419 Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. 2,276 2005 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Zbl 0497.76041 Brooks, Alexander N.; Hughes, Thomas J. R. 1,761 1982 The partition of unity finite element method: basic theory and applications. Zbl 0881.65099 Melenk, J. M.; Babuška, Ivo 1,097 1996 Meshless methods: An overview and recent developments. Zbl 0891.73075 Belytschko, T.; Krongauz, Y.; Organ, D.; Fleming, M.; Krysl, P. 999 1996 Homotopy perturbation technique. Zbl 0956.70017 He, Jihuan 986 1999 Generating optimal topologies in structural design using a homogenization method. Zbl 0671.73065 Bendsøe, Martin Philip; Kikuchi, Noboru 985 1988 Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Zbl 0866.76044 Hughes, Thomas J. R. 902 1995 The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525 Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste 760 1998 A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Zbl 0622.76077 Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc 668 1986 A level set method for structural topology optimization. Zbl 1083.74573 Wang, Michael Yu; Wang, Xiaoming; Guo, Dongming 650 2003 A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100 Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M. 604 1989 An overview of projection methods for incompressible flows. Zbl 1122.76072 Guermond, J. L.; Minev, P.; Shen, Jie 597 2006 A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022 Miehe, Christian; Hofacker, Martina; Welschinger, Fabian 576 2010 Approximate analytical solution for seepage flow with fractional derivatives in porous media. Zbl 0942.76077 He, Jihuan 551 1998 The numerical computation of turbulent flows. Zbl 0277.76049 Launder, B. E.; Spalding, D. B. 543 1974 A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Zbl 0423.76070 Leonard, B. P. 534 1979 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039 Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 526 1981 An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems. Zbl 1035.65125 Hansbo, Anita; Hansbo, Peter 520 2002 Isogeometric analysis using T-splines. Zbl 1227.74123 Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 514 2010 Isogeometric analysis of structural vibrations. Zbl 1119.74024 Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. 512 2006 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352 Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G. 494 2007 A phase-field description of dynamic brittle fracture. Zbl 1253.74089 Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 484 2012 Isogeometric shell analysis with Kirchhoff-Love elements. Zbl 1231.74422 Kiendl, J.; Bletzinger, K.-U.; Linhard, J.; Wüchner, R. 433 2009 Consistent tangent operators for rate-independent elastoplasticity. Zbl 0535.73025 Simo, J. C.; Taylor, R. L. 389 1985 The generalized finite element method. Zbl 0997.74069 Strouboulis, T.; Copps, K.; Babuška, I. 388 2001 An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Zbl 0508.73063 Donea, J.; Giuliani, S.; Halleux, J. P. 377 1982 A new strategy for finite element computations involving moving boundaries and interfaces — The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests. Zbl 0745.76044 Tezduyar, T. E.; Behr, M.; Liou, J. 368 1992 Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Zbl 0756.76048 Tezduyar, T. E.; Mittal, S.; Ray, S. E.; Shih, R. 363 1992 An \(h\)-\(p\) adaptive method using clouds. Zbl 0918.73328 Duarte, C. Armando; Oden, J. Tinsley 356 1996 Modeling holes and inclusions by level sets in the extended finite element method. Zbl 1029.74049 Sukumar, N.; Chopp, D. L.; Moës, N.; Belytschko, T. 344 2001 The design and analysis of the generalized finite element method. Zbl 0983.65127 Strouboulis, T.; Babuška, I.; Copps, K. 338 2000 A numerical method for computing the overall response of nonlinear composites with complex microstructure. Zbl 0954.74079 Moulinec, H.; Suquet, P. 338 1998 Computational methods in Lagrangian and Eulerian hydrocodes. Zbl 0763.73052 Benson, David J. 335 1992 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524 Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 332 2008 \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Zbl 0993.74062 Feyel, Frédéric; Chaboche, Jean-Louis 329 2000 Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407 Cottrell, J. A.; Hughes, T. J. R.; Reali, A. 324 2007 A three-dimensional finite-strain rod model. II. Computational aspects. Zbl 0608.73070 Simo, J. C.; Vu-Quoc, L. 322 1986 Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Zbl 0918.73330 Chen, Jiun-Shyan; Pan, Chunhui; Wu, Cheng-Tang; Liu, Wing Kam 321 1996 Smoothed particle hydrodynamics: Some recent improvements and applications. Zbl 0896.73075 Randles, P. W.; Libersky, L. D. 320 1996 Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027 Causin, P.; Gerbeau, J. F.; Nobile, F. 307 2005 Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Zbl 0554.73036 Simo, J. C.; Taylor, R. L.; Pister, K. S. 306 1985 Finite element methods for linear hyperbolic problems. Zbl 0526.76087 Johnson, Claes; Nävert, Uno; Pitkäranta, Juhani 302 1984 Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075 Malkus, David S.; Hughes, Thomas J. R. 302 1978 A new strategy for finite element computations involving moving boundaries and interfaces — The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Zbl 0745.76045 Tezduyar, T. E.; Behr, M.; Mittal, S.; Liou, J. 299 1992 Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048 Franca, Leopoldo P.; Frey, Sérgio L. 296 1992 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107 Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 295 2010 A finite strain beam formulation. The three-dimensional dynamic problem. I. Zbl 0583.73037 Simo, J. C. 292 1985 A posteriori error estimation in finite element analysis. Zbl 0895.76040 Ainsworth, Mark; Oden, J. Tinsley 290 1997 A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Zbl 1068.74076 Hansbo, Anita; Hansbo, Peter 286 2004 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029 Hughes, T. J. R.; Reali, A.; Sangalli, G. 277 2010 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040 Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 276 1992 A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Zbl 0973.76048 Jansen, Kenneth E.; Whiting, Christian H.; Hulbert, Gregory M. 275 2000 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055 Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 273 2012 Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Zbl 0764.73089 Simo, J. C. 264 1992 A mixed formulation for frictional contact problems prone to Newton like solution methods. Zbl 0825.76353 Alart, P.; Curnier, A. 262 1991 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352 Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 262 2005 Topology optimization of nonlinear elastic structures and compliant mechanisms. Zbl 1014.74057 Bruns, Tyler E.; Tortorelli, Daniel A. 260 2001 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069 Ciarlet, P. G.; Raviart, P.-A. 255 1973 Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088 Simo, J. C.; Miehe, C. 250 1992 A particle method for history-dependent materials. Zbl 0851.73078 Sulsky, D.; Chen, Z.; Schreyer, H. L. 247 1994 A new implementation of the element free Galerkin method. Zbl 0847.73064 Lu, Y. Y.; Belytschko, T.; Gu, L. 245 1994 Effective properties of composite materials with periodic microstructure: A computational approach. Zbl 0964.74054 Michel, J. C.; Moulinec, H.; Suquet, P. 243 1999 A hierarchical approach to adaptive local refinement in isogeometric analysis. Zbl 1239.65013 Vuong, A.-V.; Giannelli, Carlotta; Jüttler, Bert; Simeon, Bernd 243 2011 Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations. Zbl 1025.76036 Shu, Chang; Ding, H.; Yeo, K. S. 243 2003 A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074 Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira 240 1986 Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Zbl 0848.76036 Johnson, A. A.; Tezduyar, T. E. 240 1994 Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Zbl 1086.74038 Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L. 240 2002 A discontinuous \(hp\) finite element method for convection-diffusion problems. Zbl 0924.76051 Baumann, Carlos Erik; Oden, J. Tinsley 239 1999 Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017 Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y. 235 2000 A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Zbl 0572.76068 Hughes, T. J. R.; Franca, L. P.; Mallet, M. 233 1986 Variational and momentum preservation aspects of smooth particle hydrodynamic formulations. Zbl 0962.76075 Bonet, J.; Lok, T.-S. L. 231 1999 An efficient constraint handling method for genetic algorithms. Zbl 1028.90533 Deb, Kalyanmoy 231 2000 The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches. Zbl 1231.74482 Kiendl, J.; Bazilevs, Y.; Hsu, M.-C.; Wüchner, R.; Bletzinger, K.-U. 231 2010 Nodal integration of the element-free Galerkin method. Zbl 0918.73329 Beissel, Stephen; Belytschko, Ted 230 1996 Virtual element methods for plate bending problems. Zbl 1297.74049 Brezzi, Franco; Marini, L. Donatella 230 2013 A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078 Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 229 1994 Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088 Liu, Wing Kam; Li, Shaofan; Belytschko, Ted 229 1997 The finite cell method for three-dimensional problems of solid mechanics. Zbl 1194.74517 Düster, A.; Parvizian, J.; Yang, Z.; Rank, E. 229 2008 Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063 Hughes, Thomas J. R.; Hulbert, Gregory M. 227 1988 Adaptive isogeometric analysis by local \(h\)-refinement with T-splines. Zbl 1227.74125 Dörfel, Michael R.; Jüttler, Bert; Simeon, Bernd 227 2010 Stabilization of constraints and integrals of motion in dynamical systems. Zbl 0262.70017 Baumgarte, J. 227 1972 A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems. Zbl 0622.76075 Hughes, Thomas J. R.; Mallet, Michel 226 1986 Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002 Matthies, Hermann G.; Keese, Andreas 226 2005 The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics. Zbl 0897.73069 Song, Chongmin; Wolf, John P. 225 1997 On numerically accurate finite element solutions in the fully plastic range. Zbl 0284.73048 Nagtegaal, J. C.; Parks, D. M.; Rice, J. R. 223 1974 A computational approach to handle complex microstructure geometries. Zbl 1054.74056 Moës, N.; Cloirec, M.; Cartraud, P.; Remacle, J.-F. 221 2003 A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067 Hughes, Thomas J. R.; Franca, Leopoldo P. 220 1987 Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS. Zbl 1194.74114 Hughes, T. J. R.; Reali, A.; Sangalli, G. 220 2008 On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes. Zbl 1423.74095 Gain, Arun L.; Talischi, Cameron; Paulino, Glaucio H. 220 2014 A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876 Di Pietro, Daniele A.; Ern, Alexandre 219 2015 On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization. Zbl 0692.73062 Simo, J. C.; Fox, D. D. 217 1989 An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273 Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 215 2015 Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Zbl 0737.73008 Guedes, José Miranda; Kikuchi, Noboru 214 1990 Immersed finite element method. Zbl 1067.76576 Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam 213 2004 Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Zbl 0542.76093 Hughes, T. J. R.; Tezduyar, T. E. 208 1984 The stochastic finite element method: past, present and future. Zbl 1229.74140 Stefanou, George 208 2009 Approximate solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0932.65143 He, Jihuan 207 1998 Stabilized finite element approximation of transient incompressible flows using orthogonal subscales. Zbl 1015.76045 Codina, Ramon 205 2002 Imposing essential boundary conditions in mesh-free methods. Zbl 1060.74665 Fernández-Méndez, Sonia; Huerta, Antonio 205 2004 Finite element stabilization parameters computed from element matrices and vectors. Zbl 0973.76057 Tezduyar, Tayfun E.; Osawa, Yasuo 204 2000 A level set reliability-based topology optimization (LS-RBTO) method considering sensitivity mapping and multi-source interval uncertainties. Zbl 1536.74188 Li, Zeshang; Wang, Lei; Xinyu, Geng 4 2024 Respecting causality for training physics-informed neural networks. Zbl 1539.65143 Wang, Sifan; Sankaran, Shyam; Perdikaris, Paris 4 2024 Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows. Zbl 1536.76028 El-Amrani, Mofdi; Obbadi, Anouar; Seaid, Mohammed; Yakoubi, Driss 3 2024 Volume conservation issue within SPH models for long-time simulations of violent free-surface flows. Zbl 1529.76015 Pilloton, C.; Sun, P. N.; Zhang, X.; Colagrossi, A. 2 2024 Discovering a reaction-diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression. Zbl 1539.92006 Zhang, Zhen; Zou, Zongren; Kuhl, Ellen; Karniadakis, George Em 2 2024 A coupled 3D thermo-mechanical peridynamic model for cracking analysis of homogeneous and heterogeneous materials. Zbl 1539.74386 Sun, W. K.; Yin, B. B.; Akbar, Arslan; Kodur, V. K. R.; Liew, K. M. 2 2024 Integrated multi-material and multi-scale optimization of compliant structure with embedded movable piezoelectric actuators. Zbl 1539.74301 Hu, Jingyu; Wallin, Mathias; Ristinmaa, Matti; Liu, Yang; Liu, Shutian 2 2024 3D stabilization-free virtual element method for linear elastic analysis. Zbl 1539.74490 Xu, Bing-Bing; Wriggers, Peter 2 2024 Active kriging-based conjugate first-order reliability method for highly efficient structural reliability analysis using resample strategy. Zbl 1539.74404 Luo, Changqi; Zhu, Shun-Peng; Keshtegar, Behrooz; Macek, Wojciech; Branco, Ricardo; Meng, Debiao 2 2024 Coupled peridynamic model for geometrically nonlinear deformation and fracture analysis of thin shell structures. Zbl 1539.74219 Zheng, Guojun; Zhang, Bolin; Xia, Yang; Shen, Guozhe 2 2024 Whole-heart modelling with valves in a fluid-structure interaction framework. Zbl 1536.74143 Feng, Liuyang; Gao, Hao; Luo, Xiaoyu 2 2024 Finite element-based invariant-domain preserving approximation of hyperbolic systems: beyond second-order accuracy in space. Zbl 1536.65106 Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan 2 2024 High-order composite implicit time integration schemes based on rational approximations for elastodynamics. Zbl 1536.74024 Song, Chongmin; Zhang, Xiaoran 2 2024 Topology optimization of differentiable microstructures. Zbl 1539.74342 Zhai, Xiaoya; Wang, Weiming; Chen, Falai; Wu, Jun 2 2024 On automated model discovery and a universal material subroutine for hyperelastic materials. Zbl 1539.74067 Peirlinck, Mathias; Linka, Kevin; Hurtado, Juan A.; Kuhl, Ellen 2 2024 A T-splines-oriented isogeometric topology optimization for plate and shell structures with arbitrary geometries using Bézier extraction. Zbl 1539.74206 Zhang, Xiao; Xiao, Mi; Gao, Liang; Gao, Jie 2 2024 Projection-based reduced order modeling and data-driven artificial viscosity closures for incompressible fluid flows. Zbl 1539.76143 Prakash, Aviral; Zhang, Yongjie Jessica 2 2024 The Morley-type virtual element method for the Navier-Stokes equations in stream-function form. Zbl 1536.76056 Adak, D.; Mora, D.; Silgado, A. 1 2024 Coupled total- and semi-Lagrangian peridynamics for modelling fluid-driven fracturing in solids. Zbl 1539.74051 Yang, Changyi; Zhu, Fan; Zhao, Jidong 1 2024 A neural network-based enrichment of reproducing kernel approximation for modeling brittle fracture. Zbl 1539.74363 Baek, Jonghyuk; Chen, Jiun-Shyan 1 2024 A stochastic LATIN method for stochastic and parameterized elastoplastic analysis. Zbl 1536.74308 Zheng, Zhibao; Néron, David; Nackenhorst, Udo 1 2024 An implicit material point method for micropolar solids undergoing large deformations. Zbl 1536.74160 O’Hare, Ted J.; Gourgiotis, Panos A.; Coombs, William M.; Augarde, Charles E. 1 2024 Robust numerical integration of embedded solids described in boundary representation. Zbl 1536.74268 Meßmer, Manuel; Kollmannsberger, Stefan; Wüchner, Roland; Bletzinger, Kai-Uwe 1 2024 Learning stiff chemical kinetics using extended deep neural operators. Zbl 1539.92010 Goswami, Somdatta; Jagtap, Ameya D.; Babaee, Hessam; Susi, Bryan T.; Karniadakis, George Em 1 2024 Quantum computing enhanced distance-minimizing data-driven computational mechanics. Zbl 1539.81042 Xu, Yongchun; Yang, Jie; Kuang, Zengtao; Huang, Qun; Huang, Wei; Hu, Heng 1 2024 Interval strategy-based regularization approach for force reconstruction with multi-source uncertainties. Zbl 1536.65166 Yang, Chen 1 2024 Development of process design tools for extrusion-based bioprinting: from numerical simulations to nomograms through reduced-order modeling. Zbl 1539.76039 Chirianni, Francesco; Vairo, Giuseppe; Marino, Michele 1 2024 Stabilized mixed material point method for incompressible fluid flow analysis. Zbl 1536.76026 Chandra, Bodhinanda; Hashimoto, Ryota; Matsumi, Shinnosuke; Kamrin, Ken; Soga, Kenichi 1 2024 A reactive-transport phase-field modelling approach of chemo-assisted cracking in saturated sandstone. Zbl 1536.76126 Guo, Yongfan; Na, SeonHong 1 2024 Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering. Zbl 1539.78010 Chen, Leilei; Wang, Zhongwang; Lian, Haojie; Ma, Yujing; Meng, Zhuxuan; Li, Pei; Ding, Chensen; Bordas, Stéphane P. A. 1 2024 A new numerical mesoscopic scale one-domain approach solver for free fluid/porous medium interaction. Zbl 1536.76123 Aricò, Costanza; Helmig, Rainer; Puleo, Daniele; Schneider, Martin 1 2024 Corotational force-based beam finite element with rigid joint offsets for 3D framed structures. Zbl 1536.74108 Di Re, Paolo; Addessi, Daniela; Gatta, Cristina; Parente, Luca; Sacco, Elio 1 2024 Active-learning-driven surrogate modeling for efficient simulation of parametric nonlinear systems. Zbl 1536.65127 Kapadia, Harshit; Feng, Lihong; Benner, Peter 1 2024 Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes. Zbl 1536.74288 Yang, Cheng-Hau; Saurabh, Kumar; Scovazzi, Guglielmo; Canuto, Claudio; Krishnamurthy, Adarsh; Ganapathysubramanian, Baskar 1 2024 The fully coupled thermo-mechanical dual-horizon peridynamic correspondence damage model for homogeneous and heterogeneous materials. Zbl 1536.74012 Bie, Yehui; Ren, Huilong; Rabczuk, Timon; Bui, Tinh Quoc; Wei, Yueguang 1 2024 Ordinary state-based peridynamic model for out-of-plane deformation and damage analysis of composite laminates. Zbl 1532.74004 Yang, X. W.; Gao, W. C.; Liu, Z. H.; Liu, W. 1 2024 Multi-fidelity physics constrained neural networks for dynamical systems. Zbl 1539.76034 Zhou, Hao; Cheng, Sibo; Arcucci, Rossella 1 2024 Bond-based nonlocal models by nonlocal operator method in symmetric support domain. Zbl 1536.74006 Ren, Huilong; Zhuang, Xiaoying; Fu, Xiaolong; Li, Zhiyuan; Rabczuk, Timon 1 2024 Eulerian framework for contact between solids represented as phase fields. 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Zbl 1539.74299 Huang, Xiaodong; Li, Weibai; Nabaki, Khodamorad; Yan, Xiaolei 1 2024 The kinematic-constraint-inspired non-ordinary state-based peridynamics with fractional viscoelastic-viscoplastic constitutive model to simulating time-dependent deformation and failure of rocks. Zbl 1539.74048 Tian, Da-Lang; Zhou, Xiao-Ping 1 2024 Hutchinson trace estimation for high-dimensional and high-order physics-informed neural networks. Zbl 1539.65024 Hu, Zheyuan; Shi, Zekun; Karniadakis, George Em; Kawaguchi, Kenji 1 2024 A nonlocal hybrid model for elasto-plastic fracture of rock-like materials. Zbl 1539.74229 Yu, Haitao; Hu, Xiaokun; Bobet, Antonio; Yan, Xiao 1 2024 Adaptive scaled boundary finite element method for two/three-dimensional structural topology optimization based on dynamic responses. Zbl 1539.74476 Su, Rut; Zhang, Xiaoran; Tangaramvong, Sawekchai; Song, Chongmin 1 2024 Unsupervised learning of history-dependent constitutive material laws with thermodynamically-consistent neural networks in the modified constitutive relation error framework. Zbl 1539.74539 Benady, Antoine; Baranger, Emmanuel; Chamoin, Ludovic 1 2024 A framework for neural network based constitutive modelling of inelastic materials. Zbl 1536.74025 Dettmer, Wulf G.; Muttio, Eugenio J.; Alhayki, Reem; Perić, Djordje 1 2024 En-DeepONet: an enrichment approach for enhancing the expressivity of neural operators with applications to seismology. Zbl 1539.86005 Haghighat, Ehsan; Waheed, Umair bin; Karniadakis, George 1 2024 Adaptive coupling of non-ordinary state-based peridynamics and classical continuum mechanics for fracture analysis. Zbl 1536.74014 Li, Zhibin; Han, Fei 1 2024 Neural integration for constitutive equations using small data. 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Zbl 1536.76075 Ngueyong, Ismaël Tchinda; Urquiza, José Manuel; Martin, Dave 1 2024 A decoupled approach for determination of the joint probability density function of a high-dimensional nonlinear stochastic dynamical system via the probability density evolution method. Zbl 1539.74530 Lyu, Meng-Ze; Feng, De-Cheng; Chen, Jian-Bing; Li, Jie 1 2024 Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface. Zbl 1536.74027 Nie, Yinghao; Li, Zheng; Gong, Xiuchen; Cheng, Gengdong 1 2024 An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition. Zbl 1536.65158 Discacciati, Marco; Evans, Ben J.; Giacomini, Matteo 1 2024 Multiscale smoothed particle hydrodynamics based on a domain-decomposition strategy. Zbl 1539.76162 Ricci, Francesco; Vacondio, Renato; Tafuni, Angelantonio 1 2024 A monolithic hyper ROM \(\mathrm{FE}^2\) method with clustered training at finite deformations. Zbl 1539.74446 Lange, Nils; Hütter, Geralf; Kiefer, Bjoern 1 2024 Capturing the diffusive behavior of the multiscale linear transport equations by asymptotic-preserving convolutional deeponets. Zbl 1539.35206 Wu, Keke; Yan, Xiong-Bin; Jin, Shi; Ma, Zheng 1 2024 GPLaSDI: Gaussian process-based interpretable latent space dynamics identification through deep autoencoder. Zbl 1539.65085 Bonneville, Christophe; Choi, Youngsoo; Ghosh, Debojyoti; Belof, Jonathan L. 1 2024 An efficient hybrid collocation scheme for vibro-acoustic analysis of the underwater functionally graded structures in the shallow ocean. Zbl 1539.74117 Xi, Qiang; Fu, Zhuojia; Zou, Mingsong; Zhang, Chuanzeng 1 2024 On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge-Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. Zbl 1539.65078 Westermann, Hendrik; Mahnken, Rolf 1 2024 Peridynamic modeling of elastic-plastic ductile fracture. Zbl 1539.74052 Zhang, Heng; Huang, Dan; Zhang, Xiong 1 2024 Data-driven nonparametric identification of material behavior based on physics-informed neural network with full-field data. Zbl 1539.74137 Jeong, Iksu; Cho, Maenghyo; Chung, Hayoung; Kim, Do-Nyun 1 2024 Bayesian reinforcement learning reliability analysis. Zbl 1539.62308 Zhou, Tong; Guo, Tong; Dang, Chao; Beer, Michael 1 2024 Incremental neural controlled differential equations for modeling of path-dependent material behavior. Zbl 1539.74550 He, Yangzi; Semnani, Shabnam J. 1 2024 Invariant data-driven subgrid stress modeling on anisotropic grids for large eddy simulation. Zbl 1539.76085 Prakash, Aviral; Jansen, Kenneth E.; Evans, John A. 1 2024 Fatigue-constrained topology optimization using the constrained natural element method. Zbl 1539.74287 Chen, Yanda; Monteiro, Eric; Koutiri, Imade; Favier, Véronique 1 2024 Geometric re-meshing strategies to simulate contactless rebounds of elastic solids in fluids. Zbl 1539.74105 Fara, J.; Schwarzacher, S.; Tůma, K. 1 2024 Discovering interpretable elastoplasticity models via the neural polynomial method enabled symbolic regressions. Zbl 1539.74073 Bahmani, Bahador; Suh, Hyoung Suk; Sun, WaiChing 1 2024 A theoretical case study of the generalization of machine-learned potentials. 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Zbl 1539.74324 Shu, Zhengtao; Gao, Liang; Li, Hao 1 2024 A non-uniform rational B-splines (NURBS) based optimization method for fiber path design. Zbl 1539.74493 Zhang, Xuyu; Xie, Yi Min; Wang, Cong; Li, He; Zhou, Shiwei 1 2024 Convex model-based regularization method for force reconstruction. Zbl 1539.74533 Shi, Qinghe; Lin, Bochao; Yang, Chen; Hu, Kejun; Han, Wenqin; Luo, Zhenxian 1 2024 Nonlinear elasticity with the shifted boundary method. Zbl 1539.74060 Atallah, Nabil M.; Scovazzi, Guglielmo 1 2024 Topology optimization for fiber-reinforced plastic (FRP) composite for frequency responses. Zbl 07875048 Xie, Furong; Gao, Yunkai; Meng, Dejian; Xu, Yanan; Wu, Chi; Fang, Jianguang; Li, Qing 1 2024 ...and 1041 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 59,310 Authors 239 Dehghan Takht Fooladi, Mehdi 225 Hughes, Thomas J. R. 210 Tezduyar, Tayfun E. 190 Rabczuk, Timon 188 Liu, Gui-Rong 188 Wriggers, Peter 168 Liu, Wing Kam 168 Steinmann, Paul 149 Oñate Ibáñez de Navarra, Eugenio 143 Belytschko, Ted Bohdan 141 He, Yinnian 141 Karniadakis, George Em 136 Quarteroni, Alfio M. 135 Bazilevs, Yuri 134 Codina, Ramon 129 Wall, Wolfgang A. 123 Chung, Tsz Shun Eric 121 Liew, Kim Meow 120 Oden, John Tinsley 118 Farhat, Charbel H. 117 Demkowicz, Leszek 115 Burman, Erik 115 Yang, Xiaofeng 111 Bordas, Stéphane Pierre Alain 111 Feng, Xinlong 108 Babuška, Ivo 108 Gatica, Gabriel N. 108 Huang, Yunqing 107 Dumbser, Michael 107 Kim, Junseok 106 Rozza, Gianluigi 105 Takizawa, Kenji 104 Beirão da Veiga, Lourenço 98 Calo, Victor Manuel 95 Larson, Mats G. 95 Rui, Hongxing 94 Fernández, Jose Ramon 93 Shu, Chi-Wang 92 Reddy, Junuthula Narasimha 92 Zhang, Chuanzeng 91 Natarajan, Sundararajan 90 de Borst, René 90 Ern, Alexandre 90 Hansbo, Peter 89 Li, Jichun 88 Huerta, Antonio 88 Idelsohn, Sergio Rodolfo 88 Wheeler, Mary Fanett 87 Carstensen, Carsten 87 Ortiz, Michael 86 Nguyen-Xuan, Hung 85 Auricchio, Ferdinando 85 Shen, Jie 83 Fish, Jacob 83 Wohlmuth, Barbara I. 82 Miehe, Christian 81 Li, Xiaolin 81 Zhang, Zhimin 80 Argyris, John Hadji 80 Chinesta, Francisco 80 Ganji, Davood Domiri 80 Rebholz, Leo Gregory 80 Sigmund, Ole 79 Chen, Jiun-Shyan 79 Gunzburger, Max D. 79 Ruiz-Baier, Ricardo 77 Han, Xu 77 Reali, Alessandro 77 Sun, Shuyu 77 Wang, Hong 77 Wick, Thomas 76 Schwab, Christoph 76 Zhang, Hongwu 75 Song, Chongmin 75 Zheng, Hong 74 Zohdi, Tarek I. 73 Chen, Yanping 73 Guo, Xu 73 Ibrahimbegović, Adnan 72 Du, Qiang 72 Seaïd, Mohammed 72 Soize, Christian 72 Zhang, Yongjie Jessica 71 Abbaszadeh, Mostafa 71 Bui, Tinh Quoc 70 Badia, Santiago 70 John, Volker 69 Antonietti, Paola Francesca 68 Efendiev, Yalchin R. 67 de Lorenzis, Laura 67 Düster, Alexander 67 Givoli, Dan 67 Hou, Yanren 67 Ladevèze, Pierre 67 Papadrakakis, Manolis 66 Rank, Ernst 65 Cockburn, Bernardo 65 Han, Weimin 65 Hsu, Ming-Chen 65 Reddy, B. 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