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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 Düster, Alexander
19 Liew, Kim Meow
19 Schröder, Jörg
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 Sauer, Roger A.
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 5,274 more Authors
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Fields

3,009 Mechanics of deformable solids (74-XX)
690 Fluid mechanics (76-XX)
688 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)
74 Computer science (68-XX)
48 Optics, electromagnetic theory (78-XX)
29 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)
17 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

2,953 Publications have been cited 35,024 times in 16,427 Documents Cited by Year
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Zbl 0932.76067
Atluri, S. N.; Zhu, T.
793
1998
Generalizing the finite element method: Diffuse approximation and diffuse elements. Zbl 0764.65068
Nayroles, B.; Touzot, G.; Villon, P.
632
1992
Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015
Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y.
420
2008
A smoothed finite element method for mechanics problems. Zbl 1169.74047
Liu, G. R.; Dai, K. Y.; Nguyen, T. T.
314
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.
309
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
254
2015
Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics. Zbl 1162.74506
Parvizian, Jamshid; Düster, Alexander; Rank, Ernst
214
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.
207
1993
An approach to micro-macro modeling of heterogeneous materials. Zbl 1005.74018
Kouznetsova, V.; Brekelmans, W. A. M.; Baaijens, F. P. T.
190
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.
186
1998
Fixed-point fluid-structure interaction solvers with dynamic relaxation. Zbl 1236.74284
Küttler, Ulrich; Wall, Wolfgang A.
172
2008
A coupled finite element – element-free Galerkin method. Zbl 0840.73058
Belytschko, T.; Organ, D.; Krongauz, Y.
159
1995
Phase-field modeling of ductile fracture. Zbl 1329.74018
Ambati, M.; Gerasimov, T.; De Lorenzis, L.
155
2015
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.
148
1998
NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043
Bazilevs, Y.; Hughes, T. J. R.
143
2008
Multiscale space-time fluid-structure interaction techniques. Zbl 1398.76128
Takizawa, Kenji; Tezduyar, Tayfun E.
143
2011
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
Numerical integration of the Galerkin weak form in meshfree methods. Zbl 0963.74076
Dolbow, J.; Belytschko, T.
132
1999
The h-p version of the finite element method. I. The basic approximation results. Zbl 0634.73058
Guo, B.; Babuška, I.
131
1986
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
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.
121
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.
116
2012
The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Zbl 0976.74078
Atluri, S. N.; Zhu, T.-L.
115
2000
A virtual element method for contact. Zbl 1398.74420
Wriggers, P.; Rust, W. T.; Reddy, B. D.
115
2016
On using radial basis functions in a “finite difference mode” with applications to elasticity problems. Zbl 1063.74104
Tolstykh, A. I.; Shirobokov, D. A.
110
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.
108
2011
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.
107
2009
Advanced mesh generation and update methods for 3D flow simulations. Zbl 0949.76049
Johnson, A. A.; Tezduyar, T. E.
105
1999
Local multiquadric approximation for solving boundary value problems. Zbl 1035.65136
Lee, C. K.; Liu, Xin; Fan, S. C.
105
2003
Fluid-structure interaction modeling of wind turbines: simulating the full machine. Zbl 1311.74038
Hsu, Ming-Chen; Bazilevs, Yuri
105
2012
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
102
2011
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.
99
2010
Meshless methods based on collocation with radial basis functions. Zbl 0986.74079
Zhang, X.; Song, K. Z.; Lu, M. W.; Liu, X.
97
2000
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
95
2014
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.
95
2015
The method of finite spheres. Zbl 0952.65091
De, S.; Bathe, K. J.
93
2000
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
93
2012
Frictionless 2D contact formulations for finite deformations based on the mortar method. Zbl 1102.74033
Fischer, K. A.
91
2005
Analysis of thin plates by the element-free Galerkin method. Zbl 0841.73064
Krysl, P.; Belytschko, T.
91
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
90
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
89
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
85
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.
85
2011
A virtual work derivation of the scaled boundary finite-element method for elastostatics. Zbl 1076.74552
Deeks, A. J.; Wolf, J. P.
83
2002
An extended finite element method with higher-order elements for curved cracks. Zbl 1038.74651
Stazi, F. L.; Budyn, E.; Chessa, J.; Belytschko, T.
82
2003
Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Zbl 0864.73076
Organ, D.; Fleming, M.; Terry, T.; Belytschko, T.
81
1996
Flow simulation and high performance computing. Zbl 0893.76046
Tezduyar, T.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M.
80
1996
Space-time interface-tracking with topology change (ST-TC). Zbl 1311.74045
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
80
2014
The h-p version of the finite element method. II. General results and applications. Zbl 0634.73059
Guo, B.; Babuška, I.
79
1986
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.
77
2005
Fitting hyperelastic models to experimental data. Zbl 1109.74320
Ogden, R. W.; Saccomandi, G.; Sgura, I.
77
2004
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
A boundary point interpolation method for stress analysis of solids. Zbl 1115.74380
Gu, Y. T.; Liu, G. R.
76
2002
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
Space-time fluid mechanics computation of heart valve models. Zbl 1311.74083
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
75
2014
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.
74
2012
A phase-field model for ductile fracture at finite strains and its experimental verification. Zbl 1381.74181
Ambati, Marreddy; Kruse, Roland; De Lorenzis, Laura
74
2016
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
73
2008
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.
73
2012
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.
72
2013
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
71
2014
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
70
2003
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
70
2006
Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches. Zbl 1309.76126
Heil, Matthias; Hazel, Andrew L.; Boyle, Jonathan
68
2008
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.
66
1999
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
66
2013
A meshfree method based on the local partition of unity for cohesive cracks. Zbl 1161.74055
Rabczuk, Timon; Zi, Goangseup
66
2007
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.
65
2003
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.
64
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.
63
2012
Phase field approximation of dynamic brittle fracture. Zbl 1311.74106
Schlüter, Alexander; Willenbücher, Adrian; Kuhn, Charlotte; Müller, Ralf
63
2014
A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Zbl 0924.65105
Zhu, T.; Zhang, J.; Atluri, S. N.
62
1998
Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. Zbl 1386.74132
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E.
62
2017
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.
61
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.
61
2006
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
On material forces and finite element discretizations. Zbl 1053.74048
Mueller, R.; Maugin, G. A.
60
2002
The interpolation of rotations and its application to finite element models of geometrically exact rods. Zbl 1138.74406
Romero, Ignacio
59
2004
Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087
Li, S.; Hao, W.; Liu, W. K.
59
2000
Efficient virtual element formulations for compressible and incompressible finite deformations. Zbl 1386.74146
Wriggers, P.; Reddy, B. D.; Rust, W.; Hudobivnik, B.
59
2017
Fluid-structure interaction simulation of pulsatile ventricular assist devices. Zbl 1388.74039
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
59
2013
Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Zbl 0938.65139
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
58
1999
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
58
2014
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
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
Shape optimization of pulsatile ventricular assist devices using FSI to minimize thrombotic risk. Zbl 1314.74056
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
57
2014
A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048
Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted
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
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.
56
2007
An error estimate in the EFG method. Zbl 0910.73060
Chung, H.-J.; Belytschko, T.
55
1998
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.
55
2008
Electromechanics of the heart: a unified approach to the strongly coupled excitation-contraction problem. Zbl 1183.78031
Göktepe, Serdar; Kuhl, Ellen
55
2010
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
54
2008
Multiscale sequentially-coupled arterial FSI technique. Zbl 1261.92010
Tezduyar, Tayfun E.; Takizawa, Kenji; Moorman, Creighton; Wright, Samuel; Christopher, Jason
54
2010
Solving thermal and phase change problems with the extended finite element method. Zbl 1073.76589
Merle, R.; Dolbow, J.
54
2002
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
54
2019
Isogeometric analysis of 2D gradient elasticity. Zbl 1398.74329
Fischer, Paul; Klassen, Markus; Mergheim, Julia; Steinmann, Paul; Müller, Ralf
54
2011
A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids. Zbl 1063.74105
Liu, G. R.; Gu, Y. T.
54
2003
Computational thermo-fluid analysis of a disk brake. Zbl 1382.74044
Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi; Tabata, Shinichiro; Takagi, Hirokazu
54
2016
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
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
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
2
2023
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
2
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
2
2023
Incompressible rubber thermoelasticity: a neural network approach. Zbl 1517.74028
Zlatić, Martin; Čanađija, Marko
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
Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. Zbl 07719576
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
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
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
FFT-based homogenization at finite strains using composite boxels (ComBo). Zbl 1516.74106
Keshav, Sanath; Fritzen, Felix; Kabel, Matthias
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
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
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
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
10
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
9
2022
The concept of representative crack elements (RCE) for phase-field fracture: transient thermo-mechanics. Zbl 1491.74098
Storm, J.; Yin, B.; Kaliske, M.
7
2022
A digital-twin and machine-learning framework for precise heat and energy management of data-centers. Zbl 1495.76094
Zohdi, T. I.
7
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.
7
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
6
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
5
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.
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
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
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
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
3
2022
A note on rapid genetic calibration of artificial neural networks. Zbl 1503.74119
Zohdi, T. I.
3
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
3
2022
Fast and multiscale formation of isogeometric matrices of microstructured geometric models. Zbl 07492679
Hirschler, T.; Antolin, P.; Buffa, A.
3
2022
An FE-DMN method for the multiscale analysis of thermomechanical composites. Zbl 1491.74094
Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
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
How drugs modulate the performance of the human heart. Zbl 1494.74055
Peirlinck, M.; Yao, J.; Sahli Costabal, F.; Kuhl, E.
3
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
3
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
3
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
3
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
Two-field formulations for isogeometric Reissner-Mindlin plates and shells with global and local condensation. Zbl 07492656
Kikis, G.; Klinkel, S.
2
2022
Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces. Zbl 07492658
Ernesti, Felix; Schneider, Matti
2
2022
A variational multiscale stabilized and locking-free meshfree formulation for Reissner-Mindlin plate problems. Zbl 07492659
Huang, Tsung-Hui
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
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
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
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
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.
2
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
2
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
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
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 sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution. Zbl 1501.74071
Mehta, Alok; Schneider, Matti
1
2022
An adaptive digital framework for energy management of complex multi-device systems. Zbl 1504.93012
Zohdi, T. I.
1
2022
Multiscale computational homogenisation of shear-flexible beam elements: a direct \(\mathrm{FE}^2\) approach. Zbl 1503.74112
Yeoh, K. M.; Poh, L. H.; Tay, T. E.; Tan, V. B. C.
1
2022
A phase-field fracture model for brittle anisotropic materials. Zbl 1503.74100
Luo, Zhiheng; Chen, Lin; Wang, Nan; Li, Bin
1
2022
A large deformation isogeometric continuum shell formulation incorporating finite strain elastoplasticity. Zbl 1503.74115
Liu, Ning; Hsu, Ming-Chen; Lua, Jim; Phan, Nam
1
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
1
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
1
2022
Self-updated four-node finite element using deep learning. Zbl 07492657
Jung, Jaeho; Jun, Hyungmin; Lee, Phill-Seung
1
2022
Incremental viscoelasticity at finite strains for the modelling of 3D concrete printing. Zbl 07492667
Nedjar, B.
1
2022
A data-driven approach for modeling tension-compression asymmetric material behavior: numerical simulation and experiment. Zbl 07492670
Qiu, Hai; Yang, Hang; Elkhodary, Khalil l.; Tang, Shan; Guo, Xu; Huang, Jinhao
1
2022
Virtual elements for sound propagation in complex poroelastic media. Zbl 07492674
Sreekumar, Abhilash; Triantafyllou, Savvas P.; Chevillotte, Fabien
1
2022
A new mesh smoothing method based on a neural network. Zbl 07492678
Guo, Yufei; Wang, Chuanrui; Ma, Zhe; Huang, Xuhui; Sun, Kewu; Zhao, Rongli
1
2022
Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations. Zbl 07492680
Pivovarov, Dmytro; Mergheim, Julia; Willner, Kai; Steinmann, Paul
1
2022
Residual stresses in gas tungsten arc welding: a novel phase-field thermo-elastoplasticity modeling and parameter treatment framework. Zbl 07492685
Ali, Baharin; Heider, Yousef; Markert, Bernd
1
2022
On two simple virtual Kirchhoff-Love plate elements for isotropic and anisotropic materials. Zbl 07492687
Wriggers, P.; Hudobivnik, B.; Allix, O.
1
2022
A component-free Lagrangian finite element formulation for large strain elastodynamics. Zbl 07492688
Stickle, Miguel Martín; Molinos, Miguel; Navas, Pedro; Yagüe, Ángel; Manzanal, Diego; Moussavi, Saeid; Pastor, Manuel
1
2022
Stable node-based smoothed finite element method for 3D contact problems. Zbl 07492694
Sun, Xiao; Yang, Hong; Li, She; Cui, Xiangyang
1
2022
A mixed u-p edge-based smoothed particle finite element formulation for viscous flow simulations. Zbl 1492.76082
Reinold, Janis; Meschke, Günther
1
2022
Optimal design of 3D architected porous/nonporous microstructures of multifunctional multiphase composites for maximized thermomechanical properties. Zbl 1490.74081
Moshki, Alireza; Hajighasemi, Mohammad Reza; Atai, Ali Asghar; Jebellat, Ehsan; Ghazavizadeh, Akbar
1
2022
A weighted Nitsche’s method for interface problems with higher-order simplex elements. Zbl 1491.74095
Jiang, Wen; Liu, Yingjie; Annavarapu, Chandrasekhar
1
2022
Non-intrusive global-local analysis of heterogeneous structures based on a second-order interface coupling. Zbl 1487.74113
Wangermez, Maxence; Allix, Olivier; Guidault, Pierre-Alain; Ciobanu, Oana; Rey, Christian
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
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
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
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
An efficient numerical scheme for the FE-approximation of magnetic stray fields in infinite domains. Zbl 1492.78020
Schröder, Jörg; Reichel, Maximilian; Birk, Carolin
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
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
1
2022
Mixed strain/stress gradient loadings for FFT-based computational homogenization methods. Zbl 1500.74057
Kabel, Matthias
1
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
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
Gas turbine computational flow and structure analysis with isogeometric discretization and a complex-geometry mesh generation method. Zbl 07360493
Bazilevs, Yuri; Takizawa, Kenji; Wu, Michael C. H.; Kuraishi, Takashi; Avsar, Reha; Xu, Zhaojing; Tezduyar, Tayfun E.
22
2021
Stabilized methods for high-speed compressible flows: toward hypersonic simulations. Zbl 1490.76134
Codoni, David; Moutsanidis, Georgios; Hsu, Ming-Chen; Bazilevs, Yuri; Johansen, Craig; Korobenko, Artem
19
2021
Machine learning for metal additive manufacturing: predicting temperature and melt pool fluid dynamics using physics-informed neural networks. Zbl 07360521
Zhu, Qiming; Liu, Zeliang; Yan, Jinhui
17
2021
A general phase-field model for fatigue failure in brittle and ductile solids. Zbl 1468.74056
Seleš, Karlo; Aldakheel, Fadi; Tonković, Zdenko; Sorić, Jurica; Wriggers, Peter
13
2021
U-duct turbulent-flow computation with the ST-VMS method and isogeometric discretization. Zbl 1490.76171
Aydinbakar, Levent; Takizawa, Kenji; Tezduyar, Tayfun E.; Matsuda, Daisaku
12
2021
Hierarchical deep-learning neural networks: finite elements and beyond. Zbl 07360501
Zhang, Lei; Cheng, Lin; Li, Hengyang; Gao, Jiaying; Yu, Cheng; Domel, Reno; Yang, Yang; Tang, Shaoqiang; Liu, Wing Kam
12
2021
Anisotropic hyperelastic constitutive models for finite deformations combining material theory and data-driven approaches with application to cubic lattice metamaterials. Zbl 07360523
Fernández, Mauricio; Jamshidian, Mostafa; Böhlke, Thomas; Kersting, Kristian; Weeger, Oliver
12
2021
Space-time VMS isogeometric analysis of the Taylor-Couette flow. Zbl 1468.76050
Aydinbakar, Levent; Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi
12
2021
A combined XFEM phase-field computational model for crack growth without remeshing. Zbl 07360502
Muixí, Alba; Marco, Onofre; Rodríguez-Ferran, Antonio; Fernández-Méndez, Sonia
11
2021
Wind turbine wake computation with the ST-VMS method, isogeometric discretization and multidomain method. I: Computational framework. Zbl 1480.76075
Kuraishi, Takashi; Zhang, Fulin; Takizawa, Kenji; Tezduyar, Tayfun E.
10
2021
Wind turbine wake computation with the ST-VMS method, isogeometric discretization and multidomain method. II: Spatial and temporal resolution. Zbl 1496.76086
Kuraishi, Takashi; Zhang, Fulin; Takizawa, Kenji; Tezduyar, Tayfun E.
10
2021
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105 Takizawa, Kenji
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94 Steinmann, Paul
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35 Gómez, Héctor J.
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412 Computers & Mathematics with Applications
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138 Mathematical Problems in Engineering
127 International Journal of Solids and Structures
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125 International Journal of Engineering Science
120 Applied Numerical Mathematics
119 International Journal for Numerical Methods in Fluids
117 Mathematics and Mechanics of Solids
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82 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
75 Journal of Fluid Mechanics
72 Journal of Elasticity
69 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
69 Acta Mechanica Sinica
67 SIAM Journal on Scientific Computing
65 International Journal for Numerical Methods in Biomedical Engineering
61 International Journal of Fracture
59 Numerische Mathematik
58 Inverse Problems in Science and Engineering
52 Journal of Engineering Mathematics
52 Mathematics and Computers in Simulation
52 Numerical Algorithms
52 Multibody System Dynamics
49 Communications in Nonlinear Science and Numerical Simulation
48 Wave Motion
48 International Journal of Computer Mathematics
46 Continuum Mechanics and Thermodynamics
46 Structural and Multidisciplinary Optimization
45 European Journal of Mechanics. B. Fluids
44 Nonlinear Dynamics
43 Advances in Applied Mathematics and Mechanics
42 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
41 Computational and Applied Mathematics
40 International Journal of Numerical Methods for Heat & Fluid Flow
38 Applied Mathematics and Mechanics. (English Edition)
35 Advances in Computational Mathematics
34 International Journal of Computational Fluid Dynamics
34 Computational Geosciences
33 International Journal of Heat and Mass Transfer
32 International Journal for Numerical and Analytical Methods in Geomechanics
32 ZAMP. Zeitschrift für angewandte Mathematik und Physik
32 SIAM Journal on Numerical Analysis
30 Applied Mathematics Letters
29 Mathematical Methods in the Applied Sciences
29 Communications in Computational Physics
29 AMM. Applied Mathematics and Mechanics. (English Edition)
27 Mathematics of Computation
26 Computer Aided Geometric Design
26 International Journal for Computational Methods in Engineering Science and Mechanics
26 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
24 International Journal of Plasticity
23 Journal of Mathematical Analysis and Applications
23 Physics of Fluids
23 Optimization and Engineering
23 International Journal of Structural Stability and Dynamics
22 Mathematical and Computer Modelling
21 Applicable Analysis
21 Computer Physics Communications
20 Engineering Optimization
20 GAMM-Mitteilungen
19 Journal of Vibration and Control
18 Chaos, Solitons and Fractals
18 Journal of Computational Acoustics
17 Computational Methods in Applied Mathematics
16 International Journal of Applied and Computational Mathematics
15 Archive for Rational Mechanics and Analysis
15 Journal of Applied Mathematics
15 Journal of Numerical Mathematics
14 Calcolo
14 SIAM Journal on Applied Mathematics
14 Advances in Difference Equations
13 Physica A
13 BIT
13 Journal of Optimization Theory and Applications
13 Mechanics Research Communications
13 Computing and Visualization in Science
13 Lobachevskii Journal of Mathematics
13 Discrete and Continuous Dynamical Systems. Series S
12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Multiscale Modeling & Simulation
11 Physica D
11 Advances in Engineering Software
...and 326 more Journals
all top 5

Cited in 55 Fields

10,634 Mechanics of deformable solids (74-XX)
7,235 Numerical analysis (65-XX)
3,417 Fluid mechanics (76-XX)
1,914 Partial differential equations (35-XX)
626 Biology and other natural sciences (92-XX)
512 Classical thermodynamics, heat transfer (80-XX)
270 Calculus of variations and optimal control; optimization (49-XX)
269 Mechanics of particles and systems (70-XX)
263 Optics, electromagnetic theory (78-XX)
238 Computer science (68-XX)
214 Operations research, mathematical programming (90-XX)
204 Statistical mechanics, structure of matter (82-XX)
181 Geophysics (86-XX)
139 Ordinary differential equations (34-XX)
129 Approximations and expansions (41-XX)
129 Integral equations (45-XX)
113 Statistics (62-XX)
111 Real functions (26-XX)
85 Probability theory and stochastic processes (60-XX)
76 Systems theory; control (93-XX)
63 Dynamical systems and ergodic theory (37-XX)
59 Potential theory (31-XX)
52 Operator theory (47-XX)
40 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
31 Quantum theory (81-XX)
25 Integral transforms, operational calculus (44-XX)
24 Differential geometry (53-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
23 Functional analysis (46-XX)
22 Information and communication theory, circuits (94-XX)
17 Functions of a complex variable (30-XX)
16 Global analysis, analysis on manifolds (58-XX)
13 Combinatorics (05-XX)
12 History and biography (01-XX)
11 General and overarching topics; collections (00-XX)
11 Difference and functional equations (39-XX)
10 Special functions (33-XX)
8 Measure and integration (28-XX)
6 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)
1 General algebraic systems (08-XX)
1 Nonassociative rings and algebras (17-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year