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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: 3,700 Publications (since 1986)
References Indexed: 2,762 Publications with 112,516 References.
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Latest Issues

72, No. 6 (2023)
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56, No. 6 (2015)
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...and 295 more Volumes
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Authors

84 Tezduyar, Tayfun E.
71 Wriggers, Peter
59 Takizawa, Kenji
54 Liu, Wing Kam
47 Atluri, Satya N.
47 Steinmann, Paul
42 Liu, Gui-Rong
37 Bazilevs, Yuri
30 Oñate Ibáñez de Navarra, Eugenio
28 Phan-Thien, Nhan
26 Rabczuk, Timon
26 Zohdi, Tarek I.
20 Areias, Pedro M. A.
20 Chen, Jiun-Shyan
19 Liew, Kim Meow
19 Schröder, Jörg
18 Düster, Alexander
18 Kaliske, Michael
18 Tang, Shaoqiang
18 Wagner, Werner
17 Larsson, Fredrik
17 Li, Shaofan
17 Stein, Erwin
16 Sladek, Jan
16 Sladek, Vladimir
16 Yagawa, Genki
15 Batra, Romesh C.
15 Belytschko, Ted Bohdan
15 de Lorenzis, Laura
15 Kuhl, Ellen
15 Schrefler, Bernhard A.
14 Auricchio, Ferdinando
14 Bordas, Stéphane Pierre Alain
14 Geers, Marc G. D.
14 Gu, Yuantong
14 Hughes, Thomas J. R.
14 Pimenta, Paulo M.
14 Runesson, Kenneth
14 Wang, Dongdong
13 Fish, Jacob
13 Hsu, Ming-Chen
13 Rank, Ernst
13 Rubin, Miles B.
13 Soize, Christian
12 Idelsohn, Sergio Rodolfo
12 Kuraishi, Takashi
12 Ladevèze, Pierre
12 Zhang, Chuanzeng
11 Böhlke, Thomas
11 Díez, Pedro
11 Gray, Leonard J.
11 Gruttmann, Friedrich
11 Katsikadelis, John T.
11 Li, Guangyao
11 Sapountzakis, Evangelos John
11 Zhang, Hongwu
10 Chinesta, Francisco
10 Ibrahimbegović, Adnan
10 Kapania, Rakesh K.
10 Khoei, Amir R.
10 Klinkel, Sven
10 Korelc, Jože
10 Lam, Khin-Yong
10 Li, Jie
10 Liu, Yijun
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 Benson, David J.
9 Chamoin, Ludovic
9 Cruse, Thomas A.
9 Guo, Xu
9 Jabareen, Mahmood
9 Marsden, Alison L.
9 Masud, Arif
9 Mukherjee, Subrata
9 Muller, Ralf
9 Schanz, Martin
9 Wagner, Gregory J.
9 Yoshimura, Shinobu
8 Allix, Olivier
8 Balzani, Daniel
8 Crouch, Steven L.
8 De, Suvranu
8 Desceliers, Christophe
8 Dolbow, John E.
8 Ghosh, Somnath
8 Li, Hua
8 Maute, Kurt
8 Mergheim, Julia
8 Meschke, Günther
8 Morgan, Kenneth
8 Morino, Luigi
8 Mota, Alejandro
8 Nackenhorst, Udo
...and 5,279 more Authors
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Fields

3,007 Mechanics of deformable solids (74-XX)
694 Fluid mechanics (76-XX)
690 Numerical analysis (65-XX)
147 Biology and other natural sciences (92-XX)
138 Classical thermodynamics, heat transfer (80-XX)
118 Partial differential equations (35-XX)
81 Mechanics of particles and systems (70-XX)
80 Computer science (68-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)
23 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

Citations contained in zbMATH Open

3,018 Publications have been cited 36,910 times in 17,196 Documents Cited by Year
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Zbl 0932.76067
Atluri, S. N.; Zhu, T.
809
1998
Generalizing the finite element method: Diffuse approximation and diffuse elements. Zbl 0764.65068
Nayroles, B.; Touzot, G.; Villon, P.
642
1992
Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015
Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y.
435
2008
A smoothed finite element method for mechanics problems. Zbl 1169.74047
Liu, G. R.; Dai, K. Y.; Nguyen, T. T.
321
2007
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.
318
2006
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
281
2015
Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics. Zbl 1162.74506
Parvizian, Jamshid; Düster, Alexander; Rank, Ernst
230
2007
An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Zbl 0783.73024
Simo, J. C.; Oliver, J.; Armero, F.
209
1993
An approach to micro-macro modeling of heterogeneous materials. Zbl 1005.74018
Kouznetsova, V.; Brekelmans, W. A. M.; Baaijens, F. P. T.
205
2001
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.
188
1998
Fixed-point fluid-structure interaction solvers with dynamic relaxation. Zbl 1236.74284
Küttler, Ulrich; Wall, Wolfgang A.
184
2008
A coupled finite element – element-free Galerkin method. Zbl 0840.73058
Belytschko, T.; Organ, D.; Krongauz, Y.
166
1995
Phase-field modeling of ductile fracture. Zbl 1329.74018
Ambati, M.; Gerasimov, T.; De Lorenzis, L.
165
2015
Multiscale space-time fluid-structure interaction techniques. Zbl 1398.76128
Takizawa, Kenji; Tezduyar, Tayfun E.
151
2011
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.
150
1998
NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043
Bazilevs, Y.; Hughes, T. J. R.
149
2008
The h-p version of the finite element method. I. The basic approximation results. Zbl 0634.73058
Guo, B.; Babuška, I.
140
1986
Numerical integration of the Galerkin weak form in meshfree methods. Zbl 0963.74076
Dolbow, J.; Belytschko, T.
135
1999
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.
133
1999
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.
130
2008
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.
129
2014
A virtual element method for contact. Zbl 1398.74420
Wriggers, P.; Rust, W. T.; Reddy, B. D.
128
2016
The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Zbl 0976.74078
Atluri, S. N.; Zhu, T.-L.
120
2000
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.
118
2012
On using radial basis functions in a “finite difference mode” with applications to elasticity problems. Zbl 1063.74104
Tolstykh, A. I.; Shirobokov, D. A.
114
2003
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.
112
2011
Local multiquadric approximation for solving boundary value problems. Zbl 1035.65136
Lee, C. K.; Liu, Xin; Fan, S. C.
109
2003
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.
108
2009
Advanced mesh generation and update methods for 3D flow simulations. Zbl 0949.76049
Johnson, A. A.; Tezduyar, T. E.
108
1999
Fluid-structure interaction modeling of wind turbines: simulating the full machine. Zbl 1311.74038
Hsu, Ming-Chen; Bazilevs, Yuri
108
2012
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
104
2011
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
100
2014
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.
100
2010
Meshless methods based on collocation with radial basis functions. Zbl 0986.74079
Zhang, X.; Song, K. Z.; Lu, M. W.; Liu, X.
100
2000
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.
99
2015
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
96
2012
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
94
2014
The method of finite spheres. Zbl 0952.65091
De, S.; Bathe, K. J.
94
2000
Frictionless 2D contact formulations for finite deformations based on the mortar method. Zbl 1102.74033
Fischer, K. A.
93
2005
Analysis of thin plates by the element-free Galerkin method. Zbl 0841.73064
Krysl, P.; Belytschko, T.
93
1995
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
93
2011
A virtual work derivation of the scaled boundary finite-element method for elastostatics. Zbl 1076.74552
Deeks, A. J.; Wolf, J. P.
88
2002
Space-time interface-tracking with topology change (ST-TC). Zbl 1311.74045
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
87
2014
Stabilized space-time computation of wind-turbine rotor aerodynamics. Zbl 1398.76127
Takizawa, Kenji; Henicke, Bradley; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Bazilevs, Yuri
86
2011
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.
86
2011
The h-p version of the finite element method. II. General results and applications. Zbl 0634.73059
Guo, B.; Babuška, I.
84
1986
Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Zbl 0864.73076
Organ, D.; Fleming, M.; Terry, T.; Belytschko, T.
84
1996
An extended finite element method with higher-order elements for curved cracks. Zbl 1038.74651
Stazi, F. L.; Budyn, E.; Chessa, J.; Belytschko, T.
83
2003
A phase-field model for ductile fracture at finite strains and its experimental verification. Zbl 1381.74181
Ambati, Marreddy; Kruse, Roland; De Lorenzis, Laura
83
2016
Flow simulation and high performance computing. Zbl 0893.76046
Tezduyar, T.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M.
81
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.
78
2005
Fitting hyperelastic models to experimental data. Zbl 1109.74320
Ogden, R. W.; Saccomandi, G.; Sgura, I.
78
2004
Space-time fluid mechanics computation of heart valve models. Zbl 1311.74083
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
78
2014
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
76
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
76
2008
A boundary point interpolation method for stress analysis of solids. Zbl 1115.74380
Gu, Y. T.; Liu, G. R.
76
2002
A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Zbl 1162.74498
Gu, Y. T.; Liu, G. R.
76
2001
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.
76
2012
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.
75
2012
Efficient virtual element formulations for compressible and incompressible finite deformations. Zbl 1386.74146
Wriggers, P.; Reddy, B. D.; Rust, W.; Hudobivnik, B.
73
2017
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
73
2014
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.
73
2013
Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E.
73
2017
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
72
2006
Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches. Zbl 1309.76126
Heil, Matthias; Hazel, Andrew L.; Boyle, Jonathan
72
2008
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
72
2003
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
71
2013
A meshfree method based on the local partition of unity for cohesive cracks. Zbl 1161.74055
Rabczuk, Timon; Zi, Goangseup
69
2007
Phase field approximation of dynamic brittle fracture. Zbl 1311.74106
Schlüter, Alexander; Willenbücher, Adrian; Kuhn, Charlotte; Müller, Ralf
68
2014
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.
67
1999
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.
66
2003
The interpolation of rotations and its application to finite element models of geometrically exact rods. Zbl 1138.74406
Romero, Ignacio
65
2004
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.
65
2000
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
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.
64
2012
A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048
Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted
63
2008
A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Zbl 0924.65105
Zhu, T.; Zhang, J.; Atluri, S. N.
63
1998
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.
62
2006
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
62
2014
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.
62
1998
On material forces and finite element discretizations. Zbl 1053.74048
Mueller, R.; Maugin, G. A.
61
2002
Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Zbl 0938.65139
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
61
1999
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Zbl 1162.74425
Huang, X.; Xie, Y. M.
60
2009
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.
60
2010
Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087
Li, S.; Hao, W.; Liu, W. K.
60
2000
Fluid-structure interaction simulation of pulsatile ventricular assist devices. Zbl 1388.74039
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
60
2013
Isogeometric analysis of 2D gradient elasticity. Zbl 1398.74329
Fischer, Paul; Klassen, Markus; Mergheim, Julia; Steinmann, Paul; Müller, Ralf
60
2011
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
59
2008
Computational thermo-fluid analysis of a disk brake. Zbl 1382.74044
Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi; Tabata, Shinichiro; Takagi, Hirokazu
58
2016
Shape optimization of pulsatile ventricular assist devices using FSI to minimize thrombotic risk. Zbl 1314.74056
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
58
2014
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
58
2019
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.
57
2007
Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling. Zbl 1169.74032
Torii, Ryo; Oshima, Marie; Kobayashi, Toshio; Takagi, Kiyoshi; Tezduyar, Tayfun E.
57
2008
A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids. Zbl 1063.74105
Liu, G. R.; Gu, Y. T.
57
2003
Electromechanics of the heart: a unified approach to the strongly coupled excitation-contraction problem. Zbl 1183.78031
Göktepe, Serdar; Kuhl, Ellen
57
2010
Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions. Zbl 1301.92019
Takizawa, Kenji; Moorman, Creighton; Wright, Samuel; Christopher, Jason; Tezduyar, Tayfun E.
57
2010
Modified smoothed particle hydrodynamics method and its application to transient problems. Zbl 1138.74422
Zhang, G. M.; Batra, R. C.
57
2004
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.
57
2002
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.
56
2008
A feed-back approach to error control in finite element methods: Application to linear elasticity. Zbl 0894.73170
Rannacher, R.; Suttmeier, F.-T.
56
1997
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
7
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
5
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
5
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
4
2023
Two-scale off-and online approaches to geometrically exact elastoplastic rods. Zbl 1515.74045
Herrnböck, Ludwig; Kumar, Ajeet; Steinmann, Paul
3
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.
3
2023
Incompressible rubber thermoelasticity: a neural network approach. Zbl 1517.74028
Zlatić, Martin; Čanađija, Marko
3
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
3
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.
2
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
2
2023
Adaptive spatiotemporal dimension reduction in concurrent multiscale damage analysis. Zbl 1521.74213
Deng, Shiguang; Apelian, Diran; Bostanabad, Ramin
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
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
2
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
2
2023
Boolean finite cell method for multi-material problems including local enrichment of the ansatz space. Zbl 07773246
Petö, Márton; Eisenträger, Sascha; Duvigneau, Fabian; Juhre, Daniel
1
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
1
2023
An equilibrium finite element method for contact problem with application to strict error estimation. Zbl 1515.74074
Zheng, Qisheng; Liu, Jike; Wang, Li
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
FFT-based homogenization at finite strains using composite boxels (ComBo). Zbl 1516.74106
Keshav, Sanath; Fritzen, Felix; Kabel, Matthias
1
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
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
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
Dynamic analysis of flexoelectric systems in the frequency domain with isogeometric analysis. Zbl 1514.74088
Chen, Xing; Yao, Song; Yvonnet, Julien
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
An enriched phase-field method for the efficient simulation of fracture processes. Zbl 1517.74080
Loehnert, Stefan; Krüger, Christian; Klempt, Verena; Munk, Lukas
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
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
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
Semi-supervised invertible neural operators for Bayesian inverse problems. Zbl 07719581
Kaltenbach, Sebastian; Perdikaris, Paris; Koutsourelakis, Phaedon-Stelios
1
2023
Physics-informed deep learning for three-dimensional transient heat transfer analysis of functionally graded materials. Zbl 07719585
Guo, Hongwei; Zhuang, Xiaoying; Fu, Xiaolong; Zhu, Yunzheng; Rabczuk, Timon
1
2023
Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems. Zbl 07719587
Hernández, Quercus; Badías, Alberto; Chinesta, Francisco; Cueto, Elías
1
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
1
2023
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
13
2022
A comparative review of peridynamics and phase-field models for engineering fracture mechanics. Zbl 1505.74191
Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank
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.
9
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
9
2022
A digital-twin and machine-learning framework for precise heat and energy management of data-centers. Zbl 1495.76094
Zohdi, T. I.
8
2022
The concept of representative crack elements (RCE) for phase-field fracture: transient thermo-mechanics. Zbl 1491.74098
Storm, J.; Yin, B.; Kaliske, M.
8
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
8
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
7
2022
Wind turbine wake computation with the ST-VMS method and isogeometric discretization: directional preference in spatial refinement. Zbl 1502.76081
Zhang, Fulin; Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.
7
2022
A new method based on Taylor expansion and nearest-node strategy to impose Dirichlet and Neumann boundary conditions in ordinary state-based peridynamics. Zbl 1492.74011
Scabbia, Francesco; Zaccariotto, Mirco; Galvanetto, Ugo
6
2022
Model-free data-driven simulation of inelastic materials using structured data sets, tangent space information and transition rules. Zbl 1498.74081
Ciftci, Kerem; Hackl, Klaus
5
2022
Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model. Zbl 1509.74048
Schröder, Jörg; Sarhil, Mohammad; Scheunemann, Lisa; Neff, Patrizio
5
2022
A note on rapid genetic calibration of artificial neural networks. Zbl 1503.74119
Zohdi, T. I.
5
2022
An FE-DMN method for the multiscale analysis of thermomechanical composites. Zbl 1491.74094
Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
5
2022
Reduced-order multiscale modeling of plastic deformations in 3D alloys with spatially varying porosity by deflated clustering analysis. Zbl 1498.74015
Deng, Shiguang; Soderhjelm, Carl; Apelian, Diran; Bostanabad, Ramin
4
2022
Finite element methodology for modeling aircraft aerodynamics: development, simulation, and validation. Zbl 1497.76053
Rajanna, Manoj R.; Johnson, Emily L.; Codoni, David; Korobenko, Artem; Bazilevs, Yuri; Liu, Ning; Lua, Jim; Phan, Nam; Hsu, Ming-Chen
4
2022
Signed distance field framework for unified DEM modeling of granular media with arbitrary particle shapes. Zbl 1503.74118
Lai, Zhengshou; Zhao, Shiwei; Zhao, Jidong; Huang, Linchong
4
2022
Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations. Zbl 1501.74070
Garhuom, Wadhah; Düster, Alexander
4
2022
Two-field formulations for isogeometric Reissner-Mindlin plates and shells with global and local condensation. Zbl 07492656
Kikis, G.; Klinkel, S.
4
2022
Fast and multiscale formation of isogeometric matrices of microstructured geometric models. Zbl 07492679
Hirschler, T.; Antolin, P.; Buffa, A.
4
2022
A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features. Zbl 07492692
Krokos, Vasilis; Xuan, Viet Bui; Bordas, Stéphane P. A.; Young, Philippe; Kerfriden, Pierre
4
2022
An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact. Zbl 1498.74072
Liu, Dongyu; van den Boom, Sanne J.; Simone, Angelo; Aragón, Alejandro M.
3
2022
Accelerating the distance-minimizing method for data-driven elasticity with adaptive hyperparameters. Zbl 1497.74080
Nguyen, Lu Trong Khiem; Aydin, Roland Can; Cyron, Christian Johannes
3
2022
How drugs modulate the performance of the human heart. Zbl 1494.74055
Peirlinck, M.; Yao, J.; Sahli Costabal, F.; Kuhl, E.
3
2022
XIGA: an eXtended IsoGeometric analysis approach for multi-material problems. Zbl 1509.74052
Noël, L.; Schmidt, M.; Doble, K.; Evans, J. A.; Maute, K.
3
2022
A mixed u-p edge-based smoothed particle finite element formulation for viscous flow simulations. Zbl 1492.76082
Reinold, Janis; Meschke, Günther
3
2022
An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems. Zbl 1487.74120
Garhuom, Wadhah; Usman, Khuldoon; Düster, Alexander
3
2022
A variational multiscale stabilized and locking-free meshfree formulation for Reissner-Mindlin plate problems. Zbl 07492659
Huang, Tsung-Hui
3
2022
Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations. Zbl 07492680
Pivovarov, Dmytro; Mergheim, Julia; Willner, Kai; Steinmann, Paul
3
2022
Mixed strain/stress gradient loadings for FFT-based computational homogenization methods. Zbl 1500.74057
Kabel, Matthias
2
2022
Non-incremental response evaluation in geometrically nonlinear structural dynamics using a space-time stiffness operator. Zbl 1500.74060
Arjoune, Tahar; Markert, Bernd; Bamer, Franz
2
2022
A generalised path-following solver for robust analysis of material failure. Zbl 1498.74080
Börjesson, Elias; Remmers, Joris J. C.; Fagerström, Martin
2
2022
Mathematical foundations of FEM-cluster based reduced order analysis method and a spectral analysis algorithm for improving the accuracy. Zbl 1495.74067
Li, Zheng; Nie, Yinghao; Cheng, Gengdong
2
2022
An efficient numerical scheme for the FE-approximation of magnetic stray fields in infinite domains. Zbl 1492.78020
Schröder, Jörg; Reichel, Maximilian; Birk, Carolin
2
2022
Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche’s method and cut finite elements. Zbl 1492.74128
Bretin, Elie; Chapelat, Julien; Outtier, Pierre-Yves; Renard, Yves
2
2022
A new homogenization scheme for beam and plate structures without a priori requirements on boundary conditions. Zbl 1509.74047
Müller, Maximilian; Klarmann, Simon; Gruttmann, Friedrich
2
2022
Phase-field approach to evolution and interaction of twins in single crystal magnesium. Zbl 1503.74008
Amirian, Benhour; Jafarzadeh, Hossein; Abali, Bilen Emek; Reali, Alessandro; Hogan, James David
2
2022
A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution. Zbl 1501.74071
Mehta, Alok; Schneider, Matti
2
2022
Concurrent \(n\)-scale modeling for non-orthogonal woven composite. Zbl 1501.74069
Gao, Jiaying; Mojumder, Satyajit; Zhang, Weizhao; Li, Hengyang; Suarez, Derick; He, Chunwang; Cao, Jian; Liu, Wing Kam
2
2022
Consistent pressure Poisson splitting methods for incompressible multi-phase flows: eliminating numerical boundary layers and inf-sup compatibility restrictions. Zbl 1497.76104
Pacheco, Douglas R. Q.; Schussnig, Richard
2
2022
Data-driven multiscale method for composite plates. Zbl 1501.74066
Yan, Wei; Huang, Wei; Huang, Qun; Yang, Jie; Giunta, Gaetano; Belouettar, Salim; Hu, Heng
2
2022
Monotonicity-based regularization for shape reconstruction in linear elasticity. Zbl 1487.35445
Eberle, Sarah; Harrach, Bastian
2
2022
A generalized Bayesian regularization network approach on characterization of geometric defects in lattice structures for topology optimization in preliminary design of 3D printing. Zbl 1487.74105
Xie, Yuxi; Li, Shaofan; Wu, C. T.; Lyu, Dandan; Wang, Chao; Zeng, Danielle
2
2022
Self-updated four-node finite element using deep learning. Zbl 07492657
Jung, Jaeho; Jun, Hyungmin; Lee, Phill-Seung
2
2022
Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces. Zbl 07492658
Ernesti, Felix; Schneider, Matti
2
2022
Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications. Zbl 07492669
Patnaik, Sansit; Jokar, Mehdi; Semperlotti, Fabio
2
2022
Virtual elements for sound propagation in complex poroelastic media. Zbl 07492674
Sreekumar, Abhilash; Triantafyllou, Savvas P.; Chevillotte, Fabien
2
2022
Bi-fidelity reduced polynomial chaos expansion for uncertainty quantification. Zbl 07492677
Newberry, Felix; Hampton, Jerrad; Jansen, Kenneth; Doostan, Alireza
2
2022
AutoMat: automatic differentiation for generalized standard materials on GPUs. Zbl 07492686
Blühdorn, Johannes; Gauger, Nicolas R.; Kabel, Matthias
2
2022
Stable node-based smoothed finite element method for 3D contact problems. Zbl 07492694
Sun, Xiao; Yang, Hong; Li, She; Cui, Xiangyang
2
2022
A 2-dimentional contact analysis using second-order virtual element method. Zbl 1500.74049
Shen, Wei; Ohsaki, Makoto; Zhang, Jingyao
1
2022
How viscous is the beating heart? Insights from a computational study. Zbl 1497.74063
Tikenoğulları, Oğuz Ziya; Sahli Costabal, Francisco; Yao, Jiang; Marsden, Alison; Kuhl, Ellen
1
2022
Generating polycrystalline microstructures with prescribed tensorial texture coefficients. Zbl 1497.74007
Kuhn, Jannick; Schneider, Matti; Sonnweber-Ribic, Petra; Böhlke, Thomas
1
2022
Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model. Zbl 1505.74186
Brändel, Matthias; Brands, Dominik; Maike, Simon; Rheinbach, Oliver; Schröder, Jörg; Schwarz, Alexander; Stoyan, Dietrich
1
2022
Dynamic brittle fracture with a new energy limiter-based scalar damage model. Zbl 1495.74058
Bui, Tinh Quoc; Tran, Hung Thanh
1
2022
A damage phase-field model for fractional viscoelastic materials in finite strain. Zbl 1496.74118
da Costa-Haveroth, T. C.; Haveroth, G. A.; Bittencourt, M. L.; Boldrini, J. L.
1
2022
A viscoelastic model of geometry-constraint-based non-ordinary state-based peridynamics with progressive damage. Zbl 1494.74009
Tian, Da-Lang; Zhou, Xiao-Ping
1
2022
Improved hyper-reduction approach for the forced vibration analysis of rotating components. Zbl 1494.74027
Kang, Seung-Hoon; Kim, Yongse; Cho, Haeseong; Shin, SangJoon
1
2022
A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity. Zbl 1493.74117
Du, Honghui; Wu, Junchao; Wang, Dongdong; Chen, Jian
1
2022
A multiscale, data-driven approach to identifying thermo-mechanically coupled laws – bottom-up with artificial neural networks. Zbl 1493.74119
Xiang, Qian; Yang, Hang; Elkhodary, K. I.; Qiu, Hai; Tang, Shan; Guo, Xu
1
2022
On the stability of POD basis interpolation on Grassmann manifolds for parametric model order reduction. Zbl 1495.74074
Friderikos, Orestis; Baranger, Emmanuel; Olive, Marc; Neron, David
1
2022
An isogeometric finite element formulation for frictionless contact of Cosserat rods with unconstrained directors. Zbl 1508.74061
Choi, Myung-Jin; Klinkel, Sven; Sauer, Roger A.
1
2022
Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses. Zbl 1508.74064
Klarmann, Simon; Wackerfuß, Jens; Klinkel, Sven
1
2022
Bayesian inference for random field parameters with a goal-oriented quality control of the PGD forward model’s accuracy. Zbl 1509.74053
Coelho Lima, Isabela; Robens-Radermacher, Annika; Titscher, Thomas; Kadoke, Daniel; Koutsourelakis, Phaedon-Stelios; Unger, Jörg F.
1
2022
A stabilized quasi and bending consistent meshfree Galerkin formulation for Reissner-Mindlin plates. Zbl 1509.74055
Huang, Tsung-Hui; Wei, Yen-Ling
1
2022
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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 Structural and Multidisciplinary Optimization
45 European Journal of Mechanics. B. Fluids
44 Computational and Applied Mathematics
44 Nonlinear Dynamics
41 GAMM-Mitteilungen
40 International Journal of Numerical Methods for Heat & Fluid Flow
38 Applied Mathematics and Mechanics. (English Edition)
37 SIAM Journal on Numerical Analysis
36 Computational Geosciences
35 Advances in Computational Mathematics
34 Mathematical Methods in the Applied Sciences
34 ZAMP. Zeitschrift für angewandte Mathematik und Physik
34 International Journal of Computational Fluid Dynamics
33 International Journal of Heat and Mass Transfer
33 AMM. Applied Mathematics and Mechanics. (English Edition)
32 International Journal for Numerical and Analytical Methods in Geomechanics
30 Computer Aided Geometric Design
30 Applied Mathematics Letters
30 Communications in Computational Physics
27 Mathematics of Computation
26 International Journal for Computational Methods in Engineering Science and Mechanics
26 International Journal of Structural Stability and Dynamics
26 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
24 International Journal of Plasticity
24 Optimization and Engineering
23 Journal of Mathematical Analysis and Applications
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 Computational Methods in Applied Mathematics
17 International Journal of Applied and Computational Mathematics
16 Calcolo
16 SIAM Journal on Applied Mathematics
15 Archive for Rational Mechanics and Analysis
15 Journal of Applied Mathematics
15 Journal of Numerical Mathematics
15 Discrete and Continuous Dynamical Systems. Series S
14 Physica A
14 BIT
14 Lobachevskii Journal of Mathematics
14 Advances in Difference Equations
13 Journal of Optimization Theory and Applications
13 Mechanics Research Communications
13 Physica D
13 Computing and Visualization in Science
12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Multiscale Modeling & Simulation
11 Inverse Problems
...and 341 more Journals
all top 5

Cited in 56 Fields

11,137 Mechanics of deformable solids (74-XX)
7,509 Numerical analysis (65-XX)
3,624 Fluid mechanics (76-XX)
1,999 Partial differential equations (35-XX)
678 Biology and other natural sciences (92-XX)
528 Classical thermodynamics, heat transfer (80-XX)
294 Computer science (68-XX)
287 Optics, electromagnetic theory (78-XX)
282 Mechanics of particles and systems (70-XX)
278 Calculus of variations and optimal control; optimization (49-XX)
229 Operations research, mathematical programming (90-XX)
227 Statistical mechanics, structure of matter (82-XX)
194 Geophysics (86-XX)
144 Ordinary differential equations (34-XX)
135 Approximations and expansions (41-XX)
134 Integral equations (45-XX)
129 Statistics (62-XX)
120 Real functions (26-XX)
95 Probability theory and stochastic processes (60-XX)
84 Systems theory; control (93-XX)
68 Dynamical systems and ergodic theory (37-XX)
60 Potential theory (31-XX)
55 Operator theory (47-XX)
42 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
40 Linear and multilinear algebra; matrix theory (15-XX)
36 Quantum theory (81-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
26 Integral transforms, operational calculus (44-XX)
26 Differential geometry (53-XX)
23 Functional analysis (46-XX)
22 Information and communication theory, circuits (94-XX)
18 Functions of a complex variable (30-XX)
18 Global analysis, analysis on manifolds (58-XX)
13 General and overarching topics; collections (00-XX)
13 Combinatorics (05-XX)
12 History and biography (01-XX)
12 Special functions (33-XX)
12 Difference and functional equations (39-XX)
8 Measure and integration (28-XX)
7 Relativity and gravitational theory (83-XX)
3 Number theory (11-XX)
3 Topological groups, Lie groups (22-XX)
3 Convex and discrete geometry (52-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Citations by Year