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 Documents Indexed: 12,066 Publications (since 1972) References Indexed: 11,933 Publications with 454,195 References. all top 5 Latest Issues 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) 334 (2018) 333 (2018) 332 (2018) 331 (2018) 330 (2018) 329 (2018) 328 (2018) 327 (2017) 326 (2017) 325 (2017) 324 (2017) 323 (2017) 322 (2017) 321 (2017) 320 (2017) 319 (2017) 318 (2017) 317 (2017) 316 (2017) 315 (2017) 314 (2017) 313 (2017) 312 (2016) 311 (2016) 310 (2016) 309 (2016) ...and 602 more Volumes all top 5 Authors 160 Hughes, Thomas J. R. 95 Liu, Wing Kam 88 Argyris, John Hadji 88 Oden, John Tinsley 79 Babuška, Ivo 75 Belytschko, Ted Bohdan 75 Rabczuk, Timon 71 Liew, Kim Meow 71 Wriggers, Peter 65 Demkowicz, Leszek F. 63 Tezduyar, Tayfun E. 59 Oñate Ibáñez de Navarra, Eugenio 51 Codina, Ramon 50 Papadrakakis, Manolis 46 Bazilevs, Yuri 45 Farhat, Charbel H. 44 Calo, Victor Manuel 44 Hansbo, Peter 44 Noor, Ahmed Khairy 43 Wall, Wolfgang A. 42 Karniadakis, George Em 41 Ladevèze, Pierre 41 Larson, Mats G. 41 Quarteroni, Alfio M. 41 Steinmann, Paul 40 Bordas, Stéphane Pierre Alain 39 Reali, Alessandro 39 Reddy, Junuthula Narasimha 38 Franca, Leopoldo Luis Cabo Penna 36 Liu, Gui-Rong 36 Simo, Juan Carlos 35 de Lorenzis, Laura 35 Fish, Jacob 35 Gil, Antonio J. 35 Wheeler, Mary Fanett 35 Zohdi, Tarek I. 34 Borja, Ronaldo I. 34 Desmet, Wim 34 Idelsohn, Sergio Rodolfo 34 Litvin, Faydor L. 33 Zhang, Yongjie Jessica 32 Guo, Xu 32 Ortiz, Michael 32 Taylor, Robert Leroy 31 Burman, Erik 31 Huerta, Antonio 31 Miehe, Christian 31 Nguyen-Xuan, Hung 31 Sigmund, Ole 30 Dawson, Clint N. 30 Ibrahimbegović, Adnan 30 Song, Chongmin 30 Sun, WaiChing 29 Auricchio, Ferdinando 29 Carey, Graham Francis 29 Kiendl, Josef 29 Rank, Ernst 28 Bletzinger, Kai-Uwe 28 Pardo, David 28 Schillinger, Dominik 28 Tortorelli, Daniel A. 26 Beirão da Veiga, Lourenço 26 Evans, John A. 26 Gunzburger, Max D. 26 Harari, Isaac 26 Masud, Arif 26 Reddy, B. Dayanand 26 Reese, Stefanie 26 Sangalli, Giancarlo 26 Stein, Erwin 26 Wohlmuth, Barbara I. 26 Zhang, Lu-Wen 25 Ainsworth, Mark 25 Bonet, Javier 25 de Borst, René 25 Kang, Zhan 25 Kikuchi, Noboru 25 Loula, Abimael Fernando Dourado 24 Badia, Santiago 24 Chen, Jiun-Shyan 24 Le Tallec, Patrick 24 Li, Shaofan 24 Shephard, Mark S. 24 Sluys, Lambertus Johannes 23 Díez, Pedro 23 Givoli, Dan 23 Gómez, Héctor J. 23 Paulino, Glaucio H. 23 Scott, Michael A. 23 Strouboulis, Theofanis 23 Zhuang, Xiaoying 22 Gao, Liang 22 Garikipati, Krishna 22 Hsu, Ming-Chen 22 Ortigosa, Rogelio 22 Rachowicz, Waldemar 22 Van Brummelen, Harald 21 Brezzi, Franco 21 Ghanem, Roger G. 21 Oberai, Assad A. ...and 14,011 more Authors all top 5 Fields 7,475 Mechanics of deformable solids (74-XX) 4,690 Numerical analysis (65-XX) 3,420 Fluid mechanics (76-XX) 776 Partial differential equations (35-XX) 461 Biology and other natural sciences (92-XX) 318 Classical thermodynamics, heat transfer (80-XX) 305 Mechanics of particles and systems (70-XX) 280 Computer science (68-XX) 235 Statistics (62-XX) 234 Operations research, mathematical programming (90-XX) 230 Optics, electromagnetic theory (78-XX) 219 Calculus of variations and optimal control; optimization (49-XX) 204 Statistical mechanics, structure of matter (82-XX) 168 Geophysics (86-XX) 123 Systems theory; control (93-XX) 121 Probability theory and stochastic processes (60-XX) 70 Approximations and expansions (41-XX) 61 General and overarching topics; collections (00-XX) 59 Ordinary differential equations (34-XX) 56 Integral equations (45-XX) 49 Quantum theory (81-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Differential geometry (53-XX) 22 Information and communication theory, circuits (94-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 History and biography (01-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Functions of a complex variable (30-XX) 13 Potential theory (31-XX) 11 Combinatorics (05-XX) 9 Real functions (26-XX) 9 Operator theory (47-XX) 7 Convex and discrete geometry (52-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Astronomy and astrophysics (85-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-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 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 10,231 Publications have been cited 164,199 times in 51,121 Documents Cited by ▼ Year ▼ Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Zbl 1151.74419Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. 1,764 2005 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Zbl 0497.76041Brooks, Alexander N.; Hughes, Thomas J. R. 1,536 1982 The partition of unity finite element method: basic theory and applications. Zbl 0881.65099Melenk, J. M.; Babuška, Ivo 933 1996 Meshless methods: An overview and recent developments. Zbl 0891.73075Belytschko, T.; Krongauz, Y.; Organ, D.; Fleming, M.; Krysl, P. 884 1996 Homotopy perturbation technique. Zbl 0956.70017He, Jihuan 840 1999 Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Zbl 0866.76044Hughes, Thomas J. R. 786 1995 Generating optimal topologies in structural design using a homogenization method. Zbl 0671.73065Bendsøe, Martin Philip; Kikuchi, Noboru 699 1988 The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste 610 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 0622.76077Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc 599 1986 A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M. 521 1989 The numerical computation of turbulent flows. Zbl 0277.76049Launder, B. E.; Spalding, D. B. 503 1974 A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Zbl 0423.76070Leonard, B. P. 475 1979 Approximate analytical solution for seepage flow with fractional derivatives in porous media. Zbl 0942.76077He, Jihuan 460 1998 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 458 1981 A level set method for structural topology optimization. Zbl 1083.74573Wang, Michael Yu; Wang, Xiaoming; Guo, Dongming 452 2003 An overview of projection methods for incompressible flows. Zbl 1122.76072Guermond, J. L.; Minev, P.; Shen, Jie 444 2006 Isogeometric analysis using T-splines. Zbl 1227.74123Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 439 2010 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G. 417 2007 Isogeometric analysis of structural vibrations. Zbl 1119.74024Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. 416 2006 An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems. Zbl 1035.65125Hansbo, Anita; Hansbo, Peter 392 2002 A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022Miehe, Christian; Hofacker, Martina; Welschinger, Fabian 352 2010 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 0745.76044Tezduyar, T. E.; Behr, M.; Liou, J. 348 1992 Consistent tangent operators for rate-independent elastoplasticity. Zbl 0535.73025Simo, J. C.; Taylor, R. L. 337 1985 Isogeometric shell analysis with Kirchhoff-Love elements. Zbl 1231.74422Kiendl, J.; Bletzinger, K.-U.; Linhard, J.; Wüchner, R. 337 2009 Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Zbl 0756.76048Tezduyar, T. E.; Mittal, S.; Ray, S. E.; Shih, R. 336 1992 A phase-field description of dynamic brittle fracture. Zbl 1253.74089Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 334 2012 The generalized finite element method. Zbl 0997.74069Strouboulis, T.; Copps, K.; Babuška, I. 334 2001 An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Zbl 0508.73063Donea, J.; Giuliani, S.; Halleux, J. P. 324 1982 An \(h\)-\(p\) adaptive method using clouds. Zbl 0918.73328Duarte, C. Armando; Oden, J. Tinsley 304 1996 Modeling holes and inclusions by level sets in the extended finite element method. Zbl 1029.74049Sukumar, N.; Chopp, D. L.; Moës, N.; Belytschko, T. 287 2001 Computational methods in Lagrangian and Eulerian hydrocodes. Zbl 0763.73052Benson, David J. 285 1992 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 0745.76045Tezduyar, T. E.; Behr, M.; Mittal, S.; Liou, J. 282 1992 The design and analysis of the generalized finite element method. Zbl 0983.65127Strouboulis, T.; Babuška, I.; Copps, K. 273 2000 Finite element methods for linear hyperbolic problems. Zbl 0526.76087Johnson, Claes; Nävert, Uno; Pitkäranta, Juhani 272 1984 Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407Cottrell, J. A.; Hughes, T. J. R.; Reali, A. 271 2007 Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048Franca, Leopoldo P.; Frey, Sérgio L. 270 1992 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 270 2008 Smoothed particle hydrodynamics: Some recent improvements and applications. Zbl 0896.73075Randles, P. W.; Libersky, L. D. 261 1996 Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027Causin, P.; Gerbeau, J. F.; Nobile, F. 259 2005 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 253 1992 A three-dimensional finite-strain rod model. II. Computational aspects. Zbl 0608.73070Simo, J. C.; Vu-Quoc, L. 253 1986 Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Zbl 0554.73036Simo, J. C.; Taylor, R. L.; Pister, K. S. 251 1985 Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075Malkus, David S.; Hughes, Thomas J. R. 249 1978 \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Zbl 0993.74062Feyel, Frédéric; Chaboche, Jean-Louis 244 2000 A posteriori error estimation in finite element analysis. Zbl 0895.76040Ainsworth, Mark; Oden, J. Tinsley 241 1997 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 236 2010 A numerical method for computing the overall response of nonlinear composites with complex microstructure. Zbl 0954.74079Moulinec, H.; Suquet, P. 236 1998 Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Zbl 0918.73330Chen, Jiun-Shyan; Pan, Chunhui; Wu, Cheng-Tang; Liu, Wing Kam 235 1996 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029Hughes, T. J. R.; Reali, A.; Sangalli, G. 234 2010 A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Zbl 1068.74076Hansbo, Anita; Hansbo, Peter 231 2004 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069Ciarlet, P. G.; Raviart, P.-A. 227 1973 A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Zbl 0973.76048Jansen, Kenneth E.; Whiting, Christian H.; Hulbert, Gregory M. 225 2000 A mixed formulation for frictional contact problems prone to Newton like solution methods. Zbl 0825.76353Alart, P.; Curnier, A. 225 1991 A finite strain beam formulation. The three-dimensional dynamic problem. I. Zbl 0583.73037Simo, J. C. 225 1985 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 224 2005 Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Zbl 0764.73089Simo, J. C. 223 1992 Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Zbl 0848.76036Johnson, A. A.; Tezduyar, T. E. 222 1994 A new implementation of the element free Galerkin method. Zbl 0847.73064Lu, Y. Y.; Belytschko, T.; Gu, L. 212 1994 Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088Simo, J. C.; Miehe, C. 211 1992 A discontinuous \(hp\) finite element method for convection-diffusion problems. Zbl 0924.76051Baumann, Carlos Erik; Oden, J. Tinsley 211 1999 Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations. Zbl 1025.76036Shu, Chang; Ding, H.; Yeo, K. S. 210 2003 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 208 2012 An efficient constraint handling method for genetic algorithms. Zbl 1028.90533Deb, Kalyanmoy 205 2000 A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems. Zbl 0622.76075Hughes, Thomas J. R.; Mallet, Michel 203 1986 A hierarchical approach to adaptive local refinement in isogeometric analysis. Zbl 1239.65013Vuong, A.-V.; Giannelli, Carlotta; Jüttler, Bert; Simeon, Bernd 202 2011 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 0572.76068Hughes, T. J. R.; Franca, L. P.; Mallet, M. 202 1986 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 1086.74038Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L. 201 2002 Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088Liu, Wing Kam; Li, Shaofan; Belytschko, Ted 200 1997 Adaptive isogeometric analysis by local \(h\)-refinement with T-splines. Zbl 1227.74125Dörfel, Michael R.; Jüttler, Bert; Simeon, Bernd 199 2010 Effective properties of composite materials with periodic microstructure: A computational approach. Zbl 0964.74054Michel, J. C.; Moulinec, H.; Suquet, P. 199 1999 Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y. 198 2000 Stabilization of constraints and integrals of motion in dynamical systems. Zbl 0262.70017Baumgarte, J. 198 1972 A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira 197 1986 A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 197 1994 On numerically accurate finite element solutions in the fully plastic range. Zbl 0284.73048Nagtegaal, J. C.; Parks, D. M.; Rice, J. R. 197 1974 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 0635.76067Hughes, Thomas J. R.; Franca, Leopoldo P. 196 1987 Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Zbl 0542.76093Hughes, T. J. R.; Tezduyar, T. E. 194 1984 Nodal integration of the element-free Galerkin method. Zbl 0918.73329Beissel, Stephen; Belytschko, Ted 192 1996 Variational and momentum preservation aspects of smooth particle hydrodynamic formulations. Zbl 0962.76075Bonet, J.; Lok, T.-S. L. 189 1999 The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches. Zbl 1231.74482Kiendl, J.; Bazilevs, Y.; Hsu, M.-C.; Wüchner, R.; Bletzinger, K.-U. 186 2010 On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization. Zbl 0692.73062Simo, J. C.; Fox, D. D. 186 1989 Immersed finite element method. Zbl 1067.76576Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam 184 2004 Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002Matthies, Hermann G.; Keese, Andreas 183 2005 Finite element stabilization parameters computed from element matrices and vectors. Zbl 0973.76057Tezduyar, Tayfun E.; Osawa, Yasuo 182 2000 Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063Hughes, Thomas J. R.; Hulbert, Gregory M. 181 1988 The discontinuous enrichment method. Zbl 1002.76065Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P. 179 2001 Virtual element methods for plate bending problems. Zbl 1297.74049Brezzi, Franco; Marini, L. Donatella 175 2013 Stabilized finite element approximation of transient incompressible flows using orthogonal subscales. Zbl 1015.76045Codina, Ramon 174 2002 A computational approach to handle complex microstructure geometries. Zbl 1054.74056Moës, N.; Cloirec, M.; Cartraud, P.; Remacle, J.-F. 173 2003 Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS. Zbl 1194.74114Hughes, T. J. R.; Reali, A.; Sangalli, G. 173 2008 Comparison of some finite element methods for solving the diffusion-convection-reaction equation. Zbl 0959.76040Codina, Ramon 172 1998 Topology optimization of nonlinear elastic structures and compliant mechanisms. Zbl 1014.74057Bruns, Tyler E.; Tortorelli, Daniel A. 172 2001 Isogeometric structural shape optimization. Zbl 1194.74263Wall, Wolfgang A.; Frenzel, Moritz A.; Cyron, Christian 172 2008 Approximate solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0932.65143He, Jihuan 169 1998 A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044Brezzi, Franco; Bristeau, Marie-Odile; Franca, Leopoldo P.; Mallet, Michel; Rogé, Gilbert 169 1992 A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876Di Pietro, Daniele A.; Ern, Alexandre 169 2015 Fluid-structure interaction with large structural displacements. Zbl 1001.74040Le Tallec, P.; Mouro, J. 168 2001 A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Zbl 0863.73055Babuška, Ivo; Ihlenburg, Frank; Paik, Ellen T.; Sauter, Stefan A. 167 1995 A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509Xiao, S. P.; Belytschko, T. 166 2004 Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Zbl 0737.73008Guedes, José Miranda; Kikuchi, Noboru 166 1990 A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks. Zbl 07644158Wu, Chenxi; Zhu, Min; Tan, Qinyang; Kartha, Yadhu; Lu, Lu 1 2023 A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system. Zbl 07464507Yang, Xiaofeng; He, Xiaoming 14 2022 Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems. Zbl 07526130Yu, Jeremy; Lu, Lu; Meng, Xuhui; Karniadakis, George Em 9 2022 Artificial hummingbird algorithm: a new bio-inspired optimizer with its engineering applications. Zbl 07442769Zhao, Weiguo; Wang, Liying; Mirjalili, Seyedali 7 2022 A generalised phase field model for fatigue crack growth in elastic-plastic solids with an efficient monolithic solver. 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Zbl 07487692Goswami, Somdatta; Yin, Minglang; Yu, Yue; Karniadakis, George Em 6 2022 POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition. Zbl 07442762Fresca, Stefania; Manzoni, Andrea 5 2022 Local approximate Gaussian process regression for data-driven constitutive models: development and comparison with neural networks. Zbl 07442787Fuhg, Jan N.; Marino, Michele; Bouklas, Nikolaos 5 2022 A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving. Zbl 07487691Cheng, Qing; Shen, Jie 5 2022 A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation. Zbl 07526228Bharali, Ritukesh; Goswami, Somdatta; Anitescu, Cosmin; Rabczuk, Timon 5 2022 Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules. Zbl 07526022Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Miao, Di; Sauer, R. A. 5 2022 A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data. Zbl 07526108Lu, Lu; Meng, Xuhui; Cai, Shengze; Mao, Zhiping; Goswami, Somdatta; Zhang, Zhongqiang; Karniadakis, George Em 5 2022 Physics informed neural networks for continuum micromechanics. Zbl 07526114Henkes, Alexander; Wessels, Henning; Mahnken, Rolf 5 2022 CAN-PINN: a fast physics-informed neural network based on coupled-automatic-numerical differentiation method. Zbl 07532555Chiu, Pao-Hsiung; Wong, Jian Cheng; Ooi, Chinchun; Dao, My Ha; Ong, Yew-Soon 5 2022 Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs. Zbl 07442772O’Leary-Roseberry, Thomas; Villa, Umberto; Chen, Peng; Ghattas, Omar 4 2022 Gradient jump penalty stabilisation of spectral/\( h p\) element discretisation for under-resolved turbulence simulations. Zbl 07442773Moura, Rodrigo C.; Cassinelli, Andrea; da Silva, André F. 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