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Computational Mechanics

Short Title: Comput. Mech.
Publisher: Springer, Berlin/Heidelberg
ISSN: 0178-7675; 1432-0924/e
Online: https://link.springer.com/journal/466/volumes-and-issues
Comments: Journal
Documents Indexed: 3,789 Publications (since 1986)
References Indexed: 2,850 Publications with 118,335 References.
all top 5

Latest Issues

74, No. 2 (2024)
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...and 303 more Volumes
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Authors

87 Tezduyar, Tayfun E.
72 Wriggers, Peter
62 Takizawa, Kenji
55 Liu, Wing Kam
51 Steinmann, Paul
47 Atluri, Satya N.
42 Liu, Gui-Rong
40 Bazilevs, Yuri
31 Oñate Ibáñez de Navarra, Eugenio
28 Phan-Thien, Nhan
27 Zohdi, Tarek I.
26 Rabczuk, Timon
22 Chen, Jiun-Shyan
20 Areias, Pedro M. A.
20 Kaliske, Michael
20 Li, Shaofan
19 Düster, Alexander
19 Liew, Kim Meow
19 Schröder, Jörg
19 Tang, Shaoqiang
18 Larsson, Fredrik
18 Wagner, Werner
17 Stein, Erwin
16 Kuhl, Ellen
16 Sladek, Jan
16 Sladek, Vladimir
16 Yagawa, Genki
15 Batra, Romesh C.
15 Belytschko, Ted Bohdan
15 de Lorenzis, Laura
15 Geers, Marc G. D.
15 Hsu, Ming-Chen
15 Schrefler, Bernhard A.
15 Wang, Dongdong
14 Auricchio, Ferdinando
14 Bordas, Stéphane Pierre Alain
14 Gu, Yuantong
14 Hughes, Thomas J. R.
14 Pimenta, Paulo M.
14 Runesson, Kenneth
14 Zhang, Hongwu
13 Fish, Jacob
13 Kuraishi, Takashi
13 Rank, Ernst
13 Rubin, Miles B.
13 Soize, Christian
12 Böhlke, Thomas
12 Idelsohn, Sergio Rodolfo
12 Ladevèze, Pierre
12 Zhang, Chuanzeng
11 Chen, Jeng-Tzong
11 Díez, Pedro
11 Gray, Leonard J.
11 Gruttmann, Friedrich
11 Katsikadelis, John T.
11 Klinkel, Sven
11 Lam, Khin-Yong
11 Li, Guangyao
11 Sapountzakis, Evangelos John
10 Chamoin, Ludovic
10 Chinesta, Francisco
10 Guo, Xu
10 Ibrahimbegović, Adnan
10 Kapania, Rakesh K.
10 Khoei, Amir R.
10 Korelc, Jože
10 Li, Jie
10 Liu, Yijun
10 Muller, Ralf
10 Nackenhorst, Udo
10 Néron, David
10 Rossi, Riccardo
10 Schneider, Matti
10 Sze, Kam-Yim
10 Waisman, Haim
10 Wall, Wolfgang A.
10 Yvonnet, Julien
9 Aldakheel, Fadi
9 Balzani, Daniel
9 Benson, David J.
9 Cruse, Thomas A.
9 Jabareen, Mahmood
9 Li, Hua
9 Marsden, Alison L.
9 Masud, Arif
9 Mukherjee, Subrata
9 Sacco, Elio
9 Sauer, Roger A.
9 Schanz, Martin
9 Wagner, Gregory J.
9 Yoshimura, Shinobu
8 Allix, Olivier
8 Crouch, Steven L.
8 De, Suvranu
8 Desceliers, Christophe
8 Dolbow, John E.
8 Ghosh, Somnath
8 Javili, Ali
8 Kollmannsberger, Stefan
8 Lian, Yanping
...and 5,484 more Authors
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Fields

3,090 Mechanics of deformable solids (74-XX)
700 Fluid mechanics (76-XX)
693 Numerical analysis (65-XX)
151 Biology and other natural sciences (92-XX)
139 Classical thermodynamics, heat transfer (80-XX)
118 Partial differential equations (35-XX)
90 Computer science (68-XX)
81 Mechanics of particles and systems (70-XX)
50 Optics, electromagnetic theory (78-XX)
30 Geophysics (86-XX)
25 General and overarching topics; collections (00-XX)
25 Statistical mechanics, structure of matter (82-XX)
24 Operations research, mathematical programming (90-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
18 Statistics (62-XX)
17 Systems theory; control (93-XX)
15 Ordinary differential equations (34-XX)
14 Integral equations (45-XX)
9 Real functions (26-XX)
9 Approximations and expansions (41-XX)
7 Potential theory (31-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Probability theory and stochastic processes (60-XX)
5 Information and communication theory, circuits (94-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Differential geometry (53-XX)
2 Number theory (11-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Quantum theory (81-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

3,134 Publications have been cited 39,837 times in 18,786 Documents Cited by ▼ Year ▼
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Zbl 0932.76067
Atluri, S. N.; Zhu, T.
845
1998
Generalizing the finite element method: Diffuse approximation and diffuse elements. Zbl 0764.65068
Nayroles, B.; Touzot, G.; Villon, P.
672
1992
Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015
Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y.
454
2008
A smoothed finite element method for mechanics problems. Zbl 1169.74047
Liu, G. R.; Dai, K. Y.; Nguyen, T. T.
358
2007
A review on phase-field models of brittle fracture and a new fast hybrid formulation. Zbl 1398.74270
Ambati, Marreddy; Gerasimov, Tymofiy; De Lorenzis, Laura
338
2015
Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020
Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R.
324
2006
Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics. Zbl 1162.74506
Parvizian, Jamshid; Düster, Alexander; Rank, Ernst
265
2007
An approach to micro-macro modeling of heterogeneous materials. Zbl 1005.74018
Kouznetsova, V.; Brekelmans, W. A. M.; Baaijens, F. P. T.
226
2001
An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Zbl 0783.73024
Simo, J. C.; Oliver, J.; Armero, F.
225
1993
Fixed-point fluid-structure interaction solvers with dynamic relaxation. Zbl 1236.74284
Küttler, Ulrich; Wall, Wolfgang A.
202
2008
A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach. Zbl 0920.76054
Zhu, T.; Zhang, J.-D.; Atluri, S. N.
194
1998
Phase-field modeling of ductile fracture. Zbl 1329.74018
Ambati, M.; Gerasimov, T.; De Lorenzis, L.
190
2015
A coupled finite element – element-free Galerkin method. Zbl 0840.73058
Belytschko, T.; Organ, D.; Krongauz, Y.
173
1995
A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method. Zbl 0947.74080
Zhu, T.; Atluri, S. N.
159
1998
NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043
Bazilevs, Y.; Hughes, T. J. R.
152
2008
Multiscale space-time fluid-structure interaction techniques. Zbl 1398.76128
Takizawa, Kenji; Tezduyar, Tayfun E.
147
2011
The h-p version of the finite element method. I. The basic approximation results. Zbl 0634.73058
Guo, B.; Babuška, I.
144
1986
Numerical integration of the Galerkin weak form in meshfree methods. Zbl 0963.74076
Dolbow, J.; Belytschko, T.
144
1999
A virtual element method for contact. Zbl 1398.74420
Wriggers, P.; Rust, W. T.; Reddy, B. D.
141
2016
A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods. Zbl 0977.74593
Atluri, S. N.; Kim, H.-G.; Cho, J. Y.
136
1999
Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Zbl 1311.74039
Hsu, Ming-Chen; Kamensky, David; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R.
131
2014
The role of continuity in residual-based variational multiscale modeling of turbulence. Zbl 1162.76355
Akkerman, I.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Hulshoff, S.
128
2008
On using radial basis functions in a “finite difference mode” with applications to elasticity problems. Zbl 1063.74104
Tolstykh, A. I.; Shirobokov, D. A.
127
2003
The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Zbl 0976.74078
Atluri, S. N.; Zhu, T.-L.
125
2000
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
116
2011
An implicit RBF meshless approach for time fractional diffusion equations. Zbl 1377.76025
Liu, Q.; Gu, Y. T.; Zhuang, P.; Liu, F.; Nie, Y. F.
116
2011
Fluid-structure interaction modeling of wind turbines: simulating the full machine. Zbl 1311.74038
Hsu, Ming-Chen; Bazilevs, Yuri
116
2012
Local multiquadric approximation for solving boundary value problems. Zbl 1035.65136
Lee, C. K.; Liu, Xin; Fan, S. C.
115
2003
Nitsche’s method for two and three dimensional NURBS patch coupling. Zbl 1398.74379
Nguyen, Vinh Phu; Kerfriden, Pierre; Brino, Marco; Bordas, Stéphane P. A.; Bonisoli, Elvio
114
2014
Space-time techniques for computational aerodynamics modeling of flapping wings of an actual locust. Zbl 1286.76179
Takizawa, Kenji; Henicke, Bradley; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
112
2012
Meshless methods based on collocation with radial basis functions. Zbl 0986.74079
Zhang, X.; Song, K. Z.; Lu, M. W.; Liu, X.
108
2000
Advanced mesh generation and update methods for 3D flow simulations. Zbl 0949.76049
Johnson, A. A.; Tezduyar, T. E.
107
1999
Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method. Zbl 1398.74401
Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst
105
2012
Computational fluid-structure interaction: methods and application to a total cavopulmonary connection. Zbl 1398.92056
Bazilevs, Yuri; Hsu, M.-C.; Benson, D. J.; Sankaran, S.; Marsden, A. L.
105
2009
A virtual work derivation of the scaled boundary finite-element method for elastostatics. Zbl 1076.74552
Deeks, A. J.; Wolf, J. P.
104
2002
Dynamic and fluid-structure interaction simulations of bioprosthetic heart valves using parametric design with T-splines and Fung-type material models. Zbl 1325.74048
Hsu, Ming-Chen; Kamensky, David; Xu, Fei; Kiendl, Josef; Wang, Chenglong; Wu, Michael C. H.; Mineroff, Joshua; Reali, Alessandro; Bazilevs, Yuri; Sacks, Michael S.
104
2015
Frictionless 2D contact formulations for finite deformations based on the mortar method. Zbl 1102.74033
Fischer, K. A.
98
2005
A fully-coupled fluid-structure interaction simulation of cerebral aneurysms. Zbl 1301.92014
Bazilevs, Y.; Hsu, M.-C.; Zhang, Y.; Wang, W.; Liang, X.; Kvamsdal, T.; Brekken, R.; Isaksen, J. G.
97
2010
Analysis of thin plates by the element-free Galerkin method. Zbl 0841.73064
Krysl, P.; Belytschko, T.
96
1995
The method of finite spheres. Zbl 0952.65091
De, S.; Bathe, K. J.
95
2000
A phase-field model for ductile fracture at finite strains and its experimental verification. Zbl 1381.74181
Ambati, Marreddy; Kruse, Roland; De Lorenzis, Laura
94
2016
A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations. Zbl 1398.76102
Esmaily Moghadam, Mahdi; Bazilevs, Yuri; Hsia, Tain-Yen; Vignon-Clementel, Irene E.; Marsden, Alison L.
91
2011
Space-time VMS computation of wind-turbine rotor and tower aerodynamics. Zbl 1398.76129
Takizawa, Kenji; Tezduyar, Tayfun E.; Mcintyre, Spenser; Kostov, Nikolay; Kolesar, Ryan; Habluetzel, Casey
91
2014
Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Zbl 0864.73076
Organ, D.; Fleming, M.; Terry, T.; Belytschko, T.
90
1996
A meshfree radial point interpolation method (RPIM) for three-dimensional solids. Zbl 1138.74420
Liu, G. R.; Zhang, G. Y.; Gu, Y. T.; Wang, Y. Y.
89
2005
Efficient virtual element formulations for compressible and incompressible finite deformations. Zbl 1386.74146
Wriggers, P.; Reddy, B. D.; Rust, W.; Hudobivnik, B.
88
2017
The h-p version of the finite element method. II. General results and applications. Zbl 0634.73059
Guo, B.; Babuška, I.
87
1986
An extended finite element method with higher-order elements for curved cracks. Zbl 1038.74651
Stazi, F. L.; Budyn, E.; Chessa, J.; Belytschko, T.
87
2003
Space-time interface-tracking with topology change (ST-TC). Zbl 1311.74045
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
87
2014
Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E.
85
2017
Fitting hyperelastic models to experimental data. Zbl 1109.74320
Ogden, R. W.; Saccomandi, G.; Sgura, I.
84
2004
Numerical-performance studies for the stabilized space-time computation of wind-turbine rotor aerodynamics. Zbl 1334.74032
Takizawa, Kenji; Henicke, Bradley; Montes, Darren; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Bazilevs, Yuri
83
2011
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
83
2003
Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations. Zbl 1309.74013
Kabel, Matthias; Böhlke, Thomas; Schneider, Matti
83
2014
Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches. Zbl 1309.76126
Heil, Matthias; Hazel, Andrew L.; Boyle, Jonathan
82
2008
A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Zbl 1161.74054
Rabczuk, Timon; Bordas, Stéphane; Zi, Goangseup
82
2007
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method. Zbl 1356.74146
De Lorenzis, L.; Wriggers, P.; Zavarise, G.
81
2012
Phase field approximation of dynamic brittle fracture. Zbl 1311.74106
Schlüter, Alexander; Willenbücher, Adrian; Kuhn, Charlotte; Müller, Ralf
81
2014
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
80
2014
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Zbl 1162.74425
Huang, X.; Xie, Y. M.
80
2009
A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Zbl 1162.74498
Gu, Y. T.; Liu, G. R.
80
2001
Space-time fluid mechanics computation of heart valve models. Zbl 1311.74083
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
80
2014
Flow simulation and high performance computing. Zbl 0893.76046
Tezduyar, T.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M.
79
1996
A boundary point interpolation method for stress analysis of solids. Zbl 1115.74380
Gu, Y. T.; Liu, G. R.
78
2002
Stabilized space-time computation of wind-turbine rotor aerodynamics. Zbl 1398.76127
Takizawa, Kenji; Henicke, Bradley; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Bazilevs, Yuri
77
2011
A meshfree method based on the local partition of unity for cohesive cracks. Zbl 1161.74055
Rabczuk, Timon; Zi, Goangseup
76
2007
A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048
Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted
76
2008
Computation of inviscid supersonic flows around cylinders and spheres with the SUPG formulation and \(YZ\beta\) shock-capturing. Zbl 1176.76077
Tezduyar, Tayfun E.; Senga, Masayoshi; Vicker, Darby
73
2006
The interpolation of rotations and its application to finite element models of geometrically exact rods. Zbl 1138.74406
Romero, Ignacio
72
2004
Space-time computational analysis of bio-inspired flapping-wing aerodynamics of a micro aerial vehicle. Zbl 1286.76180
Takizawa, Kenji; Kostov, Nikolay; Puntel, Anthony; Henicke, Bradley; Tezduyar, Tayfun E.
71
2012
A Lagrangian reproducing kernel particle method for metal forming analysis. Zbl 0928.74115
Chen, J.-S.; Pan, C.; Roque, C. M. O. L.; Wang, H.-P.
71
1998
Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations. Zbl 0968.74079
Atluri, S. N.; Cho, J. Y.; Kim, H.-G.
70
1999
Patient-specific computational analysis of the influence of a stent on the unsteady flow in cerebral aneurysms. Zbl 1366.76106
Takizawa, Kenji; Schjodt, Kathleen; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
69
2013
Fluid-structure interaction modeling of clusters of spacecraft parachutes with modified geometric porosity. Zbl 1398.74097
Takizawa, Kenji; Tezduyar, Tayfun E.; Boben, Joseph; Kostov, Nikolay; Boswell, Cody; Buscher, Austin
69
2013
Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations. Zbl 1047.65097
Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X.
69
2003
An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation. Zbl 1176.76083
Shen, L.; Liu, Y. J.
68
2007
Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods. Zbl 1310.74049
Tezduyar, Tayfun E.; Sathe, Sunil; Pausewang, Jason; Schwaab, Matthew; Christopher, Jason; Crabtree, Jason
67
2008
A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Zbl 0924.65105
Zhu, T.; Zhang, J.; Atluri, S. N.
67
1998
Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties. Zbl 0961.74073
Sladek, J.; Sladek, V.; Atluri, S. N.
67
2000
A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Zbl 1260.74029
Nguyen-Xuan, H.; Rabczuk, T.; Nguyen-Thanh, N.; Nguyen-Thoi, T.; Bordas, S.
66
2010
Isogeometric analysis of 2D gradient elasticity. Zbl 1398.74329
Fischer, Paul; Klassen, Markus; Mergheim, Julia; Steinmann, Paul; Müller, Ralf
66
2011
Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087
Li, S.; Hao, W.; Liu, W. K.
65
2000
On material forces and finite element discretizations. Zbl 1053.74048
Mueller, R.; Maugin, G. A.
64
2002
A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity. Zbl 1128.74343
Ma, H.; Kamiya, N.
64
2002
Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Zbl 0938.65139
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
64
1999
The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Zbl 1020.74048
Atluri, S. N.; Sladek, J.; Sladek, V.; Zhu, T.
64
2000
Compressible-flow geometric-porosity modeling and spacecraft parachute computation with isogeometric discretization. Zbl 1462.76145
Kanai, Taro; Takizawa, Kenji; Tezduyar, Tayfun E.; Tanaka, Tatsuya; Hartmann, Aaron
63
2019
On the application of the Arlequin method to the coupling of particle and continuum models. Zbl 1252.74055
Bauman, Paul T.; Ben Dhia, Hachmi; Elkhodja, Nadia; Oden, J. Tinsley; Prudhomme, Serge
63
2008
Modified smoothed particle hydrodynamics method and its application to transient problems. Zbl 1138.74422
Zhang, G. M.; Batra, R. C.
63
2004
Surface corrections for peridynamic models in elasticity and fracture. Zbl 1446.74084
Le, Q. V.; Bobaru, F.
62
2018
Fluid-structure interaction simulation of pulsatile ventricular assist devices. Zbl 1388.74039
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
62
2013
Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent. Zbl 1311.76157
Takizawa, Kenji; Schjodt, Kathleen; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
62
2012
Electromechanics of the heart: a unified approach to the strongly coupled excitation-contraction problem. Zbl 1183.78031
Göktepe, Serdar; Kuhl, Ellen
61
2010
Solving thermal and phase change problems with the extended finite element method. Zbl 1073.76589
Merle, R.; Dolbow, J.
61
2002
Computational thermo-fluid analysis of a disk brake. Zbl 1382.74044
Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi; Tabata, Shinichiro; Takagi, Hirokazu
61
2016
An XFEM/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites. Zbl 1188.74076
Yvonnet, J.; Quang, H. Le.; He, Q.-C.
60
2008
Stabilization and discontinuity-capturing parameters for space-time flow computations with finite element and isogeometric discretizations. Zbl 1462.76128
Takizawa, Kenji; Tezduyar, Tayfun E.; Otoguro, Yuto
60
2018
A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids. Zbl 1063.74105
Liu, G. R.; Gu, Y. T.
60
2003
Shape optimization of pulsatile ventricular assist devices using FSI to minimize thrombotic risk. Zbl 1314.74056
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
60
2014
Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures. Zbl 1160.76061
Torii, Ryo; Oshima, Marie; Kobayashi, Toshio; Takagi, Kiyoshi; Tezduyar, Tayfun E.
59
2006
Benchmarking physics-informed frameworks for data-driven hyperelasticity. Zbl 1542.74081
Taç, Vahidullah; Linka, Kevin; Sahli-Costabal, Francisco; Kuhl, Ellen; Buganza Tepole, Adrian
2
2024
A nonlocal energy-informed neural network based on peridynamics for elastic solids with discontinuities. Zbl 07833380
Yu, Xiang-Long; Zhou, Xiao-Ping
2
2024
An isogeometric analysis framework for ventricular cardiac mechanics. Zbl 1542.74075
Willems, Robin; Janssens, Koen L. P. M.; Bovendeerd, Peter H. M.; Verhoosel, Clemens V.; van der Sluis, Olaf
1
2024
A variationally consistent reproducing kernel enhanced material point method and its applications to incompressible materials. Zbl 07850337
Rodriguez, Cameron; Huang, Tsung-Hui
1
2024
A general framework of high-performance machine learning algorithms: application in structural mechanics. Zbl 07850342
Markou, George; Bakas, Nikolaos P.; Chatzichristofis, Savvas A.; Papadrakakis, Manolis
1
2024
An arc-length control technique for solving quasi-static fracture problems with phase field models and a staggered scheme. Zbl 07850344
Zambrano, J.; Toro, S.; Sánchez, P. J.; Duda, F. P.; Méndez, C. G.; Huespe, A. E.
1
2024
Homogenization assumptions for the two-scale analysis of first-order shear deformable shells. Zbl 1539.74361
Mester, Leonie; Klarmann, Simon; Klinkel, Sven
1
2024
A sequential linear programming (SLP) approach for uncertainty analysis-based data-driven computational mechanics. Zbl 1539.74552
Huang, Mengcheng; Liu, Chang; Du, Zongliang; Tang, Shan; Guo, Xu
1
2024
Robust mixed FE for analyses of higher-order electromechanical coupling in piezoelectric solids. Zbl 07868707
Serrao, Prince Henry; Kozinov, Sergey
1
2024
Vanquishing volumetric locking in quadratic NURBS-based discretizations of nearly-incompressible linear elasticity: CAS elements. Zbl 07868709
Casquero, Hugo; Golestanian, Mahmoud
1
2024
A phase-field model of cell motility in biodegradable hydrogel scaffolds for tissue engineering applications. Zbl 07893930
Gaziano, Pierfrancesco; Marino, Michele
1
2024
Space-time variational material modeling: a new paradigm demonstrated for thermo-mechanically coupled wave propagation, visco-elasticity, elasto-plasticity with hardening, and gradient-enhanced damage. Zbl 07833386
Junker, Philipp; Wick, Thomas
1
2024
Enriched virtual elements for plane elasticity with corner singularities. Zbl 1542.74078
Artioli, E.; Mascotto, L.
1
2024
Deep learning in computational mechanics: a review. Zbl 07912461
Herrmann, Leon; Kollmannsberger, Stefan
1
2024
Learning solutions of thermodynamics-based nonlinear constitutive material models using physics-informed neural networks. Zbl 07912462
Rezaei, Shahed; Moeineddin, Ahmad; Harandi, Ali
1
2024
An enhanced corotational virtual element method for large displacements in plane elasticity. Zbl 07912464
Nale, Marco; Gatta, Cristina; Addessi, Daniela; Benvenuti, Elena; Sacco, Elio
1
2024
A physics-informed neural network technique based on a modified loss function for computational 2D and 3D solid mechanics. Zbl 1521.74404
Bai, Jinshuai; Rabczuk, Timon; Gupta, Ashish; Alzubaidi, Laith; Gu, Yuantong
12
2023
A Hu-Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics. Zbl 1517.74091
Lamperti, Andrea; Cremonesi, Massimiliano; Perego, Umberto; Russo, Alessandro; Lovadina, Carlo
11
2023
\(\mathrm{FE^{ANN}}\): an efficient data-driven multiscale approach based on physics-constrained neural networks and automated data mining. Zbl 1517.74090
Kalina, Karl A.; Linden, Lennart; Brummund, Jörg; Kästner, Markus
10
2023
Carrier-domain method for high-resolution computation of time-periodic long-wake flows. Zbl 07686546
Liu, Yang; Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi; Zhang, Yufei
8
2023
Physically enhanced training for modeling rate-independent plasticity with feedforward neural networks. Zbl 1535.74676
Weber, Patrick; Wagner, Werner; Freitag, Steffen
6
2023
T-splines computational membrane-cable structural mechanics with continuity and smoothness. I: Method and implementation. Zbl 1514.74090
Terahara, Takuya; Takizawa, Kenji; Tezduyar, Tayfun E.
5
2023
Incompressible rubber thermoelasticity: a neural network approach. Zbl 1517.74028
Zlatić, Martin; Čanađija, Marko
5
2023
A data-driven multi-flaw detection strategy based on deep learning and boundary element method. Zbl 1515.74024
Sun, Jia; Liu, Yinghua; Yao, Zhenhan; Zheng, Xiaoping
4
2023
T-splines computational membrane-cable structural mechanics with continuity and smoothness. II: Spacecraft parachutes. Zbl 1514.74089
Terahara, Takuya; Takizawa, Kenji; Avsar, Reha; Tezduyar, Tayfun E.
4
2023
Two-scale off-and online approaches to geometrically exact elastoplastic rods. Zbl 1515.74045
Herrnböck, Ludwig; Kumar, Ajeet; Steinmann, Paul
4
2023
An enriched phase-field method for the efficient simulation of fracture processes. Zbl 1517.74080
Loehnert, Stefan; Krüger, Christian; Klempt, Verena; Munk, Lukas
4
2023
Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration. Zbl 07719578
Park, Chanwook; Lu, Ye; Saha, Sourav; Xue, Tianju; Guo, Jiachen; Mojumder, Satyajit; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam
4
2023
FFT-based homogenization at finite strains using composite boxels (ComBo). Zbl 1516.74106
Keshav, Sanath; Fritzen, Felix; Kabel, Matthias
3
2023
Bi-fidelity modeling of uncertain and partially unknown systems using DeepONets. Zbl 1521.74407
De, Subhayan; Reynolds, Matthew; Hassanaly, Malik; King, Ryan N.; Doostan, Alireza
3
2023
Convolution hierarchical deep-learning neural network tensor decomposition (C-HiDeNN-TD) for high-resolution topology optimization. Zbl 1524.74386
Li, Hengyang; Knapik, Stefan; Li, Yangfan; Park, Chanwook; Guo, Jiachen; Mojumder, Satyajit; Lu, Ye; Chen, Wei; Apley, Daniel W.; Liu, Wing Kam
3
2023
Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. Zbl 1527.74082
Lu, Ye; Li, Hengyang; Zhang, Lei; Park, Chanwook; Mojumder, Satyajit; Knapik, Stefan; Sang, Zhongsheng; Tang, Shaoqiang; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam
3
2023
Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis. Zbl 1528.74101
Gräser, Carsten; Kienle, Daniel; Sander, Oliver
3
2023
Adaptive spatiotemporal dimension reduction in concurrent multiscale damage analysis. Zbl 1521.74213
Deng, Shiguang; Apelian, Diran; Bostanabad, Ramin
3
2023
A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion. Zbl 1515.74033
Wang, Yongxing; Ranner, Thomas; Ilett, Thomas P.; Xia, Yan; Cohen, Netta
2
2023
Dynamic analysis of flexoelectric systems in the frequency domain with isogeometric analysis. Zbl 1514.74088
Chen, Xing; Yao, Song; Yvonnet, Julien
2
2023
An equilibrium finite element method for contact problem with application to strict error estimation. Zbl 1515.74074
Zheng, Qisheng; Liu, Jike; Wang, Li
2
2023
A general anisotropic peridynamic plane model based on micro-beam bond. Zbl 1519.74002
Shen, Guozhe; Xu, Bo; Xia, Yang; Li, Weidong; Zheng, Guojun
2
2023
A second-order strain gradient fracture model for the brittle materials with micro-cracks by a multiscale asymptotic homogenization. Zbl 1519.74065
Yang, Zhiqiang; Rao, Yipeng; Sun, Yi; Cui, Junzhi; Xiang, Meizhen
2
2023
Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines. Zbl 1519.74078
Schmidt, Mathias; Noël, Lise; Doble, Keenan; Evans, John A.; Maute, Kurt
2
2023
Design of experiments for the calibration of history-dependent models via deep reinforcement learning and an enhanced Kalman filter. Zbl 07691253
Villarreal, Ruben; Vlassis, Nikolaos N.; Phan, Nhon N.; Catanach, Tommie A.; Jones, Reese E.; Trask, Nathaniel A.; Kramer, Sharlotte L. B.; Sun, WaiChing
2
2023
Physics-informed deep learning for three-dimensional transient heat transfer analysis of functionally graded materials. Zbl 1531.74080
Guo, Hongwei; Zhuang, Xiaoying; Fu, Xiaolong; Zhu, Yunzheng; Rabczuk, Timon
2
2023
Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems. Zbl 1536.74315
Hernández, Quercus; Badías, Alberto; Chinesta, Francisco; Cueto, Elías
2
2023
Deep learning discrete calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research. Zbl 07719575
Saha, Sourav; Park, Chanwook; Knapik, Stefan; Guo, Jiachen; Huang, Owen; Liu, Wing Kam
2
2023
A thermodynamics-informed active learning approach to perception and reasoning about fluids. Zbl 1526.76041
Moya, Beatriz; Badías, Alberto; González, David; Chinesta, Francisco; Cueto, Elías
2
2023
Boolean finite cell method for multi-material problems including local enrichment of the ansatz space. Zbl 1535.74675
Petö, Márton; Eisenträger, Sascha; Duvigneau, Fabian; Juhre, Daniel
2
2023
Recurrent and convolutional neural networks in structural dynamics: a modified attention steered encoder-decoder architecture versus LSTM versus GRU versus TCN topologies to predict the response of shock wave-loaded plates. Zbl 1528.74116
Tandale, Saurabh Balkrishna; Stoffel, Marcus
2
2023
An ALE approach for large-deformation thermoplasticity with application to friction welding. Zbl 1528.74102
Hamed, M. M. O.; McBride, A. T.; Reddy, B. D.
2
2023
Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation. Zbl 1535.74632
Dammaß, Franz; Kalina, Karl A.; Ambati, Marreddy; Kästner, Markus
2
2023
Comparison of arterial wall models in fluid-structure interaction simulations. Zbl 1532.74090
Balzani, D.; Heinlein, A.; Klawonn, A.; Rheinbach, O.; Schröder, J.
2
2023
Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model. Zbl 1528.74061
Sarhil, Mohammad; Scheunemann, Lisa; Schröder, Jörg; Neff, Patrizio
2
2023
Efficient multiscale modeling of heterogeneous materials using deep neural networks. Zbl 1522.74109
Aldakheel, Fadi; Elsayed, Elsayed S.; Zohdi, Tarek I.; Wriggers, Peter
2
2023
Model-free data-driven identification algorithm enhanced by local manifold learning. Zbl 1514.74095
Su, Tung-Huan; Jean, Jimmy Gaspard; Chen, Chuin-Shan
1
2023
Efficient semi-implicit numerical integration of ANCF and ALE-ANCF cable models with holonomic constraints. Zbl 1510.74128
Westin, Cassidy; Irani, Rishad A.
1
2023
Improved area regularization technique for penalty-method-based node-to-segment contact analysis. Zbl 1510.74133
Kang, Seung-Hoon; Lee, Seok-Min; Shin, SangJoon
1
2023
\(h\)-adaptive radial basis function finite difference method for linear elasticity problems. Zbl 1515.74077
Tóth, Balázs; Düster, Alexander
1
2023
Data-driven synchronization-avoiding algorithms in the explicit distributed structural analysis of soft tissue. Zbl 1515.74060
Tong, Guoxiang Grayson; Schiavazzi, Daniele E.
1
2023
Physics-informed machine learning for surrogate modeling of wind pressure and optimization of pressure sensor placement. Zbl 1524.76236
Zhu, Qiming; Zhao, Ze; Yan, Jinhui
1
2023
A surrogate model for the prediction of permeabilities and flow through porous media: a machine learning approach based on stochastic Brownian motion. Zbl 1524.76464
Niekamp, Rainer; Niemann, Johanna; Schröder, Jörg
1
2023
A three-dimensional prediction method of stiffness properties of composites based on deep learning. Zbl 1515.74081
Su, Hao; Guan, TianYuan; Liu, Yan
1
2023
A fully non-invasive hybrid IGA/FEM scheme for the analysis of localized non-linear phenomena. Zbl 1515.74078
Lapina, Evgeniia; Oumaziz, Paul; Bouclier, Robin; Passieux, Jean-Charles
1
2023
Hybrid TFETI domain decomposition with the clusters joined by faces’ rigid modes for solving huge 3D elastic problems. Zbl 1514.74084
Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich; Meca, Ondřej; Sadowská, Marie
1
2023
Correction to: “Hybrid of monolithic and staggered solution techniques for the computational analysis of fracture, assessed on fibrous network mechanics”. Zbl 1520.74081
Tojaga, Vedad; Kulachenko, Artem; Östlund, Sören; Gasser, T. Christian
1
2023
A generalised multi-scale peridynamics-DEM framework and its application to rigid-soft particle mixtures. Zbl 1515.74080
Hartmann, Philipp; Thoeni, Klaus; Rojek, Jerzy
1
2023
Geometrically nonlinear analysis utilizing co-rotational framework for solid element based on modified Hellinger-Reissner principle. Zbl 1515.74073
Rong, Yufei; Sun, Feng; Sun, Qin; Liang, Ke
1
2023
An efficient algorithm for rigid/deformable contact interaction based on the dual mortar method. Zbl 1516.74098
Carvalho, R. Pinto; Carneiro, A. M. Couto; Andrade Pires, F. M.; Popp, A.
1
2023
Memory repositioning in soil plasticity models used in contact problems. Zbl 1515.74057
Ghorbani, Javad; Chen, Liuxin; Kodikara, Jayantha; Carter, John P.; McCartney, John S.
1
2023
A fully implicit and thermodynamically consistent finite element framework for bone remodeling simulations. Zbl 1517.74082
Bittens, Maximilian; Nackenhorst, Udo
1
2023
An improved formulation for reduced quadrature in computational solid mechanics. Zbl 1518.74079
Li, Weican; Bazilevs, Yuri
1
2023
Efficient GPU-accelerated thermomechanical solver for residual stress prediction in additive manufacturing. Zbl 1521.74225
Liao, Shuheng; Golgoon, Ashkan; Mozaffar, Mojtaba; Cao, Jian
1
2023
A new computational scheme for structural static stochastic analysis based on Karhunen-Loève expansion and modified perturbation stochastic finite element method. Zbl 1517.74088
Shao, Zhanjun; Li, Xiumei; Xiang, Ping
1
2023
Introduction of pseudo-stress for local residual and algebraic derivation of consistent tangent in elastoplasticity. Zbl 1519.74074
Yamamoto, Takeki; Yamada, Takahiro; Matsui, Kazumi
1
2023
Virtual clustering analysis for long fiber reinforced composites. Zbl 1519.74080
Yang, Yang; Liu, Tongrui; Aliabadi, M. H.; Tang, Shaoqiang
1
2023
Updating an uncertain and expensive computational model in structural dynamics based on one single target FRF using a probabilistic learning tool. Zbl 1519.74079
Ezvan, O.; Soize, C.; Desceliers, C.; Ghanem, R.
1
2023
Computational modeling of fiber orientation during 3D-concrete-printing. Zbl 1519.74071
Reinold, Janis; Gudžulić, Vladislav; Meschke, Günther
1
2023
A machine learning-based probabilistic computational framework for uncertainty quantification of actuation of clustered tensegrity structures. Zbl 1527.74079
Ge, Yipeng; He, Zigang; Li, Shaofan; Zhang, Liang; Shi, Litao
1
2023
Semi-supervised invertible neural operators for Bayesian inverse problems. Zbl 07719581
Kaltenbach, Sebastian; Perdikaris, Paris; Koutsourelakis, Phaedon-Stelios
1
2023
Deep neural operator for learning transient response of interpenetrating phase composites subject to dynamic loading. Zbl 1516.74028
Lu, Minglei; Mohammadi, Ali; Meng, Zhaoxu; Meng, Xuhui; Li, Gang; Li, Zhen
1
2023
An efficient phase-field model of shear fractures using deviatoric stress split. Zbl 1542.74060
Haghighat, Ehsan; Santillán, David
1
2023
FEM-CM as a hybrid approach for multiscale modeling and simulation of ferroelectric boundary value problems. Zbl 1533.74084
Wakili, Reschad; Lange, Stephan; Ricoeur, Andreas
1
2023
A continuous convolutional trainable filter for modelling unstructured data. Zbl 1523.76075
Coscia, Dario; Meneghetti, Laura; Demo, Nicola; Stabile, Giovanni; Rozza, Gianluigi
1
2023
Mixed virtual element formulations for incompressible and inextensible problems. Zbl 07797128
Böhm, Christoph; Korelc, Jože; Hudobivnik, Blaž; Kraus, Alex; Wriggers, Peter
1
2023
Revealing aeroelastic effects on low-rise roof structures in turbulent winds via isogeometric fluid-structure interaction. Zbl 1542.74016
Zhu, Qiming; Wang, Xuguang; Demartino, Cristoforo; Yan, Jinhui
1
2023
Spline-based smooth beam-to-beam contact model. Zbl 1534.74072
Faccio Júnior, Celso Jaco; Neto, Alfredo Gay; Wriggers, Peter
1
2023
Continuous gap contact formulation based on the screened Poisson equation. Zbl 1537.74289
Areias, P.; Sukumar, N.; Ambrósio, J.
1
2023
A modified cap plasticity description coupled with a localizing gradient-enhanced approach for concrete failure modeling. Zbl 1528.74099
Zhao, Dong; Yin, Bo; Tarachandani, Sumit; Kaliske, Michael
1
2023
Numerical modeling of hypervelocity impacts on carbon fiber reinforced plastics using a GPU-accelerated SPH model. Zbl 1535.74580
Lu, Yao; Chen, Jianyu; Feng, Dianlei; Wang, Lingxiang; Liu, Moubin
1
2023
Robust, strong form mechanics on an adaptive structured grid: efficiently solving variable-geometry near-singular problems with diffuse interfaces. Zbl 1536.74309
Agrawal, Vinamra; Runnels, Brandon
1
2023
Deep learning and multi-level featurization of graph representations of microstructural data. Zbl 1522.74111
Jones, Reese; Safta, Cosmin; Frankel, Ari
1
2023
A machine-learning aided multiscale homogenization model for crystal plasticity: application for face-centered cubic single crystals. Zbl 1522.74110
Bishara, Dana; Li, Shaofan
1
2023
Physics-informed machine-learning model of temperature evolution under solid phase processes. Zbl 1522.74023
King, Ethan; Li, Yulan; Hu, Shenyang; Machorro, Eric
1
2023
HiDeNN-FEM: a seamless machine learning approach to nonlinear finite element analysis. Zbl 1523.74175
Liu, Yingjian; Park, Chanwook; Lu, Ye; Mojumder, Satyajit; Liu, Wing Kam; Qian, Dong
1
2023
A comparative review of peridynamics and phase-field models for engineering fracture mechanics. Zbl 1505.74191
Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank
17
2022
Space-time isogeometric analysis of car and tire aerodynamics with road contact and tire deformation and rotation. Zbl 1493.74116
Kuraishi, Takashi; Yamasaki, Satoshi; Takizawa, Kenji; Tezduyar, Tayfun E.; Xu, Zhaojing; Kaneko, Ryutaro
16
2022
Crack phase-field model equipped with plastic driving force and degrading fracture toughness for ductile fracture simulation. Zbl 07492663
Han, Jike; Matsubara, Seishiro; Moriguchi, Shuji; Kaliske, Michael; Terada, Kenjiro
11
2022
A digital-twin and machine-learning framework for precise heat and energy management of data-centers. Zbl 1495.76094
Zohdi, T. I.
11
2022
A hyperelastic extended Kirchhoff-Love shell model with out-of-plane normal stress. I: Out-of-plane deformation. Zbl 1500.74045
Taniguchi, Yasutoshi; Takizawa, Kenji; Otoguro, Yuto; Tezduyar, Tayfun E.
11
2022
High-resolution multi-domain space-time isogeometric analysis of car and tire aerodynamics with road contact and tire deformation and rotation. Zbl 1509.74051
Kuraishi, Takashi; Xu, Zhaojing; Takizawa, Kenji; Tezduyar, Tayfun E.; Yamasaki, Satoshi
11
2022
Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks. Zbl 07492666
Kalina, Karl A.; Linden, Lennart; Brummund, Jörg; Metsch, Philipp; Kästner, Markus
10
2022
The concept of representative crack elements (RCE) for phase-field fracture: transient thermo-mechanics. Zbl 1491.74098
Storm, J.; Yin, B.; Kaliske, M.
10
2022
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57 Mathematical Methods in the Applied Sciences
56 Journal of Engineering Mathematics
56 Multibody System Dynamics
54 Numerical Algorithms
52 Wave Motion
50 Continuum Mechanics and Thermodynamics
48 International Journal of Computer Mathematics
48 Advances in Applied Mathematics and Mechanics
47 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
46 Computational and Applied Mathematics
46 Nonlinear Dynamics
46 European Journal of Mechanics. B. Fluids
46 Structural and Multidisciplinary Optimization
41 GAMM-Mitteilungen
39 International Journal of Numerical Methods for Heat & Fluid Flow
38 SIAM Journal on Numerical Analysis
38 Applied Mathematics and Mechanics. (English Edition)
38 AMM. Applied Mathematics and Mechanics. (English Edition)
36 Computational Geosciences
35 ZAMP. Zeitschrift für angewandte Mathematik und Physik
35 Advances in Computational Mathematics
34 International Journal of Computational Fluid Dynamics
33 International Journal of Heat and Mass Transfer
33 Applied Mathematics Letters
32 International Journal for Numerical and Analytical Methods in Geomechanics
32 Computer Aided Geometric Design
32 Communications in Computational Physics
27 Mathematics of Computation
27 Optimization and Engineering
26 Journal of Mathematical Analysis and Applications
26 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
24 International Journal of Plasticity
23 Mathematical and Computer Modelling
23 Physics of Fluids
21 Applicable Analysis
20 Engineering Optimization
19 Journal of Vibration and Control
18 Chaos, Solitons and Fractals
18 Journal of Computational Acoustics
17 Calcolo
17 Lobachevskii Journal of Mathematics
17 Computational Methods in Applied Mathematics
17 International Journal of Applied and Computational Mathematics
16 SIAM Journal on Applied Mathematics
16 Journal of Applied Mathematics
16 Discrete and Continuous Dynamical Systems. Series S
15 Archive for Rational Mechanics and Analysis
15 Journal of Numerical Mathematics
14 Physica A
14 BIT
14 Physica D
14 Computing and Visualization in Science
14 Multiscale Modeling & Simulation
14 Advances in Difference Equations
13 Journal of Optimization Theory and Applications
13 Mechanics Research Communications
12 Inverse Problems
12 RAIRO. Modélisation Mathématique et Analyse Numérique
...and 358 more Journals
all top 5

Cited in 57 Fields

12,374 Mechanics of deformable solids (74-XX)
8,282 Numerical analysis (65-XX)
3,856 Fluid mechanics (76-XX)
2,120 Partial differential equations (35-XX)
703 Biology and other natural sciences (92-XX)
550 Classical thermodynamics, heat transfer (80-XX)
362 Computer science (68-XX)
298 Calculus of variations and optimal control; optimization (49-XX)
293 Mechanics of particles and systems (70-XX)
288 Optics, electromagnetic theory (78-XX)
239 Operations research, mathematical programming (90-XX)
220 Statistical mechanics, structure of matter (82-XX)
190 Geophysics (86-XX)
156 Approximations and expansions (41-XX)
155 Ordinary differential equations (34-XX)
149 Statistics (62-XX)
143 Integral equations (45-XX)
128 Real functions (26-XX)
104 Probability theory and stochastic processes (60-XX)
85 Systems theory; control (93-XX)
75 Dynamical systems and ergodic theory (37-XX)
69 Potential theory (31-XX)
58 Operator theory (47-XX)
49 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
30 Quantum theory (81-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
29 Differential geometry (53-XX)
26 Integral transforms, operational calculus (44-XX)
25 Functional analysis (46-XX)
23 Information and communication theory, circuits (94-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Functions of a complex variable (30-XX)
14 General and overarching topics; collections (00-XX)
14 Combinatorics (05-XX)
13 History and biography (01-XX)
12 Special functions (33-XX)
12 Difference and functional equations (39-XX)
9 Measure and integration (28-XX)
6 Relativity and gravitational theory (83-XX)
4 Number theory (11-XX)
4 Convex and discrete geometry (52-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Astronomy and astrophysics (85-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Citations by Year