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Computational Mechanics

Short Title: Comput. Mech.
Publisher: Springer, Berlin/Heidelberg
ISSN: 0178-7675; 1432-0924/e
Online: http://link.springer.com/journal/volumesAndIssues/466
Documents Indexed: 3,536 Publications (since 1986)
References Indexed: 2,601 Publications with 103,226 References.
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Latest Issues

70, No. 3 (2022)
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...and 280 more Volumes
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Authors

80 Tezduyar, Tayfun E.
67 Wriggers, Peter
55 Takizawa, Kenji
47 Atluri, Satya N.
46 Steinmann, Paul
45 Liu, Wing Kam
41 Liu, Gui-Rong
36 Bazilevs, Yuri
30 Oñate Ibáñez de Navarra, Eugenio
28 Phan-Thien, Nhan
23 Rabczuk, Timon
22 Zohdi, Tarek I.
20 Chen, Jiun-Shyan
19 Areias, Pedro M. A.
19 Liew, Kim Meow
18 Kaliske, Michael
17 Düster, Alexander
17 Larsson, Fredrik
17 Stein, Erwin
16 Schröder, Jörg
16 Sladek, Jan
16 Sladek, Vladimir
16 Yagawa, Genki
15 Batra, Romesh C.
15 Belytschko, Ted Bohdan
15 Kuhl, Ellen
15 Tang, Shaoqiang
15 Wagner, Werner
14 Bordas, Stéphane Pierre Alain
14 de Lorenzis, Laura
14 Hughes, Thomas J. R.
14 Runesson, Kenneth
13 Auricchio, Ferdinando
13 Fish, Jacob
13 Geers, Marc G. D.
13 Gu, Yuantong
13 Li, Shaofan
13 Pimenta, Paulo M.
13 Rank, Ernst
13 Rubin, Miles B.
13 Wang, Dongdong
12 Idelsohn, Sergio Rodolfo
12 Ladevèze, Pierre
12 Soize, Christian
12 Zhang, Chuanzeng
11 Gray, Leonard J.
11 Hsu, Ming-Chen
11 Katsikadelis, John T.
11 Lam, Khin-Yong
11 Li, Guangyao
11 Sapountzakis, Evangelos John
10 Böhlke, Thomas
10 Díez, Pedro
10 Gruttmann, Friedrich
10 Kapania, Rakesh K.
10 Khoei, Amir R.
10 Kuraishi, Takashi
10 Néron, David
10 Rossi, Riccardo
10 Sze, Kam-Yim
10 Waisman, Haim
10 Wall, Wolfgang A.
9 Benson, David J.
9 Cruse, Thomas A.
9 Guo, Xu
9 Ibrahimbegović, Adnan
9 Jabareen, Mahmood
9 Korelc, Jože
9 Li, Hua
9 Marsden, Alison L.
9 Schanz, Martin
9 Yoshimura, Shinobu
8 Aldakheel, Fadi
8 Allix, Olivier
8 Chamoin, Ludovic
8 Crouch, Steven L.
8 Dai, Kaiyu
8 De, Suvranu
8 Dolbow, John E.
8 Ghosh, Somnath
8 Masud, Arif
8 Mergheim, Julia
8 Morino, Luigi
8 Mota, Alejandro
8 Mukherjee, Subrata
8 Rao, Boggarapu Nageswara
8 Sacco, Elio
8 Schneider, Matti
8 Schrefler, Bernhard A.
8 Sheng, Daichao
8 Yan, Wentao
8 Yvonnet, Julien
7 Antes, Heinz
7 Arora, Jasbir S.
7 Balzani, Daniel
7 Berger, J. R.
7 Beskos, Dimitri E.
7 Betsch, Peter
7 Boucard, Pierre-Alain
7 Chinesta, Francisco
...and 4,860 more Authors
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Fields

2,858 Mechanics of deformable solids (74-XX)
678 Numerical analysis (65-XX)
674 Fluid mechanics (76-XX)
139 Biology and other natural sciences (92-XX)
133 Classical thermodynamics, heat transfer (80-XX)
117 Partial differential equations (35-XX)
77 Mechanics of particles and systems (70-XX)
48 Optics, electromagnetic theory (78-XX)
43 Computer science (68-XX)
29 Geophysics (86-XX)
25 Statistical mechanics, structure of matter (82-XX)
24 General and overarching topics; collections (00-XX)
23 Operations research, mathematical programming (90-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
17 Statistics (62-XX)
15 Ordinary differential equations (34-XX)
15 Integral equations (45-XX)
15 Systems theory; control (93-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

2,768 Publications have been cited 30,083 times in 14,542 Documents Cited by Year
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Zbl 0932.76067
Atluri, S. N.; Zhu, T.
746
1998
Generalizing the finite element method: Diffuse approximation and diffuse elements. Zbl 0764.65068
Nayroles, B.; Touzot, G.; Villon, P.
591
1992
Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015
Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y.
366
2008
A smoothed finite element method for mechanics problems. Zbl 1169.74047
Liu, G. R.; Dai, K. Y.; Nguyen, T. T.
294
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.
281
2006
An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Zbl 0783.73024
Simo, J. C.; Oliver, J.; Armero, F.
191
1993
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.
177
1998
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
176
2015
An approach to micro-macro modeling of heterogeneous materials. Zbl 1005.74018
Kouznetsova, V.; Brekelmans, W. A. M.; Baaijens, F. P. T.
170
2001
Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics. Zbl 1162.74506
Parvizian, Jamshid; Düster, Alexander; Rank, Ernst
168
2007
A coupled finite element – element-free Galerkin method. Zbl 0840.73058
Belytschko, T.; Organ, D.; Krongauz, Y.
152
1995
Fixed-point fluid-structure interaction solvers with dynamic relaxation. Zbl 1236.74284
Küttler, Ulrich; Wall, Wolfgang A.
143
2008
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.
139
1998
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.
131
1999
Multiscale space-time fluid-structure interaction techniques. Zbl 1398.76128
Takizawa, Kenji; Tezduyar, Tayfun E.
130
2011
NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043
Bazilevs, Y.; Hughes, T. J. R.
124
2008
Numerical integration of the Galerkin weak form in meshfree methods. Zbl 0963.74076
Dolbow, J.; Belytschko, T.
121
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.
120
2008
The h-p version of the finite element method. I. The basic approximation results. Zbl 0634.73058
Guo, B.; Babuška, I.
113
1986
Phase-field modeling of ductile fracture. Zbl 1329.74018
Ambati, M.; Gerasimov, T.; De Lorenzis, L.
111
2015
The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Zbl 0976.74078
Atluri, S. N.; Zhu, T.-L.
109
2000
Advanced mesh generation and update methods for 3D flow simulations. Zbl 0949.76049
Johnson, A. A.; Tezduyar, T. E.
101
1999
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.
101
2011
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.
100
2014
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.
99
2009
On using radial basis functions in a “finite difference mode” with applications to elasticity problems. Zbl 1063.74104
Tolstykh, A. I.; Shirobokov, D. A.
99
2003
Local multiquadric approximation for solving boundary value problems. Zbl 1035.65136
Lee, C. K.; Liu, Xin; Fan, S. C.
96
2003
Fluid-structure interaction modeling of wind turbines: simulating the full machine. Zbl 1311.74038
Hsu, Ming-Chen; Bazilevs, Yuri
95
2012
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.
91
2010
Meshless methods based on collocation with radial basis functions. Zbl 0986.74079
Zhang, X.; Song, K. Z.; Lu, M. W.; Liu, X.
90
2000
Analysis of thin plates by the element-free Galerkin method. Zbl 0841.73064
Krysl, P.; Belytschko, T.
88
1995
The method of finite spheres. Zbl 0952.65091
De, S.; Bathe, K. J.
87
2000
A virtual element method for contact. Zbl 1398.74420
Wriggers, P.; Rust, W. T.; Reddy, B. D.
87
2016
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
85
2011
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
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
82
2014
Frictionless 2D contact formulations for finite deformations based on the mortar method. Zbl 1102.74033
Fischer, K. A.
81
2005
Stabilized space-time computation of wind-turbine rotor aerodynamics. Zbl 1398.76127
Takizawa, Kenji; Henicke, Bradley; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Bazilevs, Yuri
79
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
79
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.
78
2012
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.
77
2015
Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Zbl 0864.73076
Organ, D.; Fleming, M.; Terry, T.; Belytschko, T.
76
1996
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
75
2012
A virtual work derivation of the scaled boundary finite-element method for elastostatics. Zbl 1076.74552
Deeks, A. J.; Wolf, J. P.
75
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.
74
2001
Flow simulation and high performance computing. Zbl 0893.76046
Tezduyar, T.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M.
73
1996
A boundary point interpolation method for stress analysis of solids. Zbl 1115.74380
Gu, Y. T.; Liu, G. R.
73
2002
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.
72
2005
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.
72
2011
An extended finite element method with higher-order elements for curved cracks. Zbl 1038.74651
Stazi, F. L.; Budyn, E.; Chessa, J.; Belytschko, T.
71
2003
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
70
2008
The h-p version of the finite element method. II. General results and applications. Zbl 0634.73059
Guo, B.; Babuška, I.
69
1986
Space-time interface-tracking with topology change (ST-TC). Zbl 1311.74045
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
69
2014
Space-time fluid mechanics computation of heart valve models. Zbl 1311.74083
Takizawa, Kenji; Tezduyar, Tayfun E.; Buscher, Austin; Asada, Shohei
69
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.
68
2012
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.
67
2012
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
67
2007
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
66
2003
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.
65
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.
65
2013
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.
62
2000
Fitting hyperelastic models to experimental data. Zbl 1109.74320
Ogden, R. W.; Saccomandi, G.; Sgura, I.
62
2004
A meshfree method based on the local partition of unity for cohesive cracks. Zbl 1161.74055
Rabczuk, Timon; Zi, Goangseup
61
2007
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.
60
2000
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.
60
2006
Solvers for large-displacement fluid-structure interaction problems: Segregated versus monolithic approaches. Zbl 1309.76126
Heil, Matthias; Hazel, Andrew L.; Boyle, Jonathan
59
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
59
2006
Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087
Li, S.; Hao, W.; Liu, W. K.
58
2000
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.
58
2003
On material forces and finite element discretizations. Zbl 1053.74048
Mueller, R.; Maugin, G. A.
58
2002
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.
57
1998
A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Zbl 0924.65105
Zhu, T.; Zhang, J.; Atluri, S. N.
57
1998
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.
56
2012
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.
56
2010
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
56
2014
Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Zbl 0938.65139
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
55
1999
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.
55
2010
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
55
2013
A phase-field model for ductile fracture at finite strains and its experimental verification. Zbl 1381.74181
Ambati, Marreddy; Kruse, Roland; De Lorenzis, Laura
54
2016
An error estimate in the EFG method. Zbl 0910.73060
Chung, H.-J.; Belytschko, T.
54
1998
New identities for fundamental solutions and their applications to non-singular boundary element formulations. Zbl 0969.74073
Liu, Y. J.; Rudolphi, T. J.
53
1999
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.
53
2002
Multiscale sequentially-coupled arterial FSI technique. Zbl 1261.92010
Tezduyar, Tayfun E.; Takizawa, Kenji; Moorman, Creighton; Wright, Samuel; Christopher, Jason
53
2010
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.
53
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.
52
2008
Shape optimization of pulsatile ventricular assist devices using FSI to minimize thrombotic risk. Zbl 1314.74056
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
52
2014
A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids. Zbl 1063.74105
Liu, G. R.; Gu, Y. T.
51
2003
Solving thermal and phase change problems with the extended finite element method. Zbl 1073.76589
Merle, R.; Dolbow, J.
50
2002
Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods. Zbl 1038.74559
Meyer, M.; Matthies, H. G.
49
2003
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
49
2008
Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. Zbl 0938.74075
Luo, J. F.; Liu, Y. J.; Berger, E. J.
49
1998
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.
49
2008
On boundary conditions in the element-free Galerkin method. Zbl 0884.65105
Mukherjee, Y. X.; Mukherjee, S.
48
1997
A feed-back approach to error control in finite element methods: Application to linear elasticity. Zbl 0894.73170
Rannacher, R.; Suttmeier, F.-T.
48
1997
On the coupling between fluid flow and mesh motion in the modelling of fluid-structure interaction. Zbl 1235.74272
Dettmer, Wulf G.; Perić, Djordje
48
2008
Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Zbl 0913.65104
Poullikkas, A.; Karageorghis, A.; Georgiou, G.
48
1998
Fluid-structure interaction simulation of pulsatile ventricular assist devices. Zbl 1388.74039
Long, C. C.; Marsden, A. L.; Bazilevs, Y.
48
2013
The interpolation of rotations and its application to finite element models of geometrically exact rods. Zbl 1138.74406
Romero, Ignacio
48
2004
Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057
Li, S.; Liu, W. K.
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1998
Phase field approximation of dynamic brittle fracture. Zbl 1311.74106
Schlüter, Alexander; Willenbücher, Adrian; Kuhn, Charlotte; Müller, Ralf
47
2014
Incremental viscoelasticity at finite strains for the modelling of 3D concrete printing. Zbl 07492667
Nedjar, B.
1
2022
Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications. Zbl 07492669
Patnaik, Sansit; Jokar, Mehdi; Semperlotti, Fabio
1
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
1
2022
How drugs modulate the performance of the human heart. Zbl 07548511
Peirlinck, M.; Yao, J.; Sahli Costabal, F.; Kuhl, E.
1
2022
An efficient numerical scheme for the FE-approximation of magnetic stray fields in infinite domains. Zbl 07548523
Schröder, Jörg; Reichel, Maximilian; Birk, Carolin
1
2022
A mixed u-p edge-based smoothed particle finite element formulation for viscous flow simulations. Zbl 07518240
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
Wind turbine wake computation with the ST-VMS method and isogeometric discretization: directional preference in spatial refinement. Zbl 07518248
Zhang, Fulin; Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.
1
2022
The concept of representative crack elements (RCE) for phase-field fracture: transient thermo-mechanics. Zbl 1491.74098
Storm, J.; Yin, B.; Kaliske, M.
1
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
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.
9
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
7
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
6
2021
A linear-elasticity-based mesh moving method with no cycle-to-cycle accumulated distortion. Zbl 07360511
Tonon, Patrícia; Sanches, Rodolfo André Kuche; Takizawa, Kenji; Tezduyar, Tayfun E.
5
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
5
2021
Space-time VMS isogeometric analysis of the Taylor-Couette flow. Zbl 1468.76050
Aydinbakar, Levent; Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi
5
2021
A semi-Lagrangian reproducing kernel particle method with particle-based shock algorithm for explosive welding simulation. Zbl 1467.74097
Baek, Jonghyuk; Chen, Jiun-Shyan; Zhou, Guohua; Arnett, Kevin P.; Hillman, Michael C.; Hegemier, Gilbert; Hardesty, Scott
4
2021
On the geometrically exact formulations of finite deformable isogeometric beams. Zbl 1467.74055
Herath, Sumudu; Yin, Ge
4
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
4
2021
Bayesian inversion for unified ductile phase-field fracture. Zbl 1478.74076
Noii, Nima; Khodadadian, Amirreza; Ulloa, Jacinto; Aldakheel, Fadi; Wick, Thomas; François, Stijn; Wriggers, Peter
4
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
3
2021
Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods. Zbl 07360505
Zhang, Huimin; Zhang, Runsen; Masarati, Pierangelo
3
2021
A dynamic hybrid local/nonlocal continuum model for wave propagation. Zbl 07360509
Han, Fei; Liu, Shankun; Lubineau, Gilles
3
2021
Updated Lagrangian particle hydrodynamics (ULPH) modeling of solid object water entry problems. Zbl 1467.76043
Yan, Jiale; Li, Shaofan; Kan, Xingyu; Zhang, A-Man; Liu, Lisheng
3
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
3
2021
A variational multiscale immersed meshfree method for heterogeneous materials. Zbl 1477.74119
Huang, Tsung-Hui; Chen, Jiun-Shyan; Tupek, Michael R.; Beckwith, Frank N.; Koester, Jacob J.; Fang, H. Eliot
3
2021
Adaptive mesh refinement and coarsening for diffusion-reaction epidemiological models. Zbl 1475.92167
Grave, Malú; Coutinho, Alvaro L. G. A.
3
2021
A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear. Zbl 1480.74291
Sky, Adam; Neunteufel, Michael; Münch, Ingo; Schöberl, Joachim; Neff, Patrizio
3
2021
Nonlinear multiscale simulation of elastic beam lattices with anisotropic homogenized constitutive models based on artificial neural networks. Zbl 1479.74109
Gärtner, Til; Fernández, Mauricio; Weeger, Oliver
3
2021
On differences and comparisons of peridynamic differential operators and nonlocal differential operators. Zbl 1479.74012
Kan, Xingyu; Yan, Jiale; Li, Shaofan; Zhang, A-Man
3
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
2
2021
An efficient 3D homogenization-based topology optimization methodology. Zbl 07360514
Ypsilantis, Konstantinos-Iason; Kazakis, George; Lagaros, Nikos D.
2
2021
Peridynamic analysis of dynamic fracture: influence of peridynamic horizon, dimensionality and specimen size. Zbl 1467.74078
Butt, Sahir N.; Meschke, Günther
2
2021
Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants. Zbl 1490.74066
Herrnböck, Ludwig; Kumar, Ajeet; Steinmann, Paul
2
2021
Energy-momentum conserving integration schemes for molecular dynamics. Zbl 1479.74128
Schiebl, Mark; Romero, Ignacio
2
2021
A mesh-independent framework for crack tracking in elastodamaging materials through the regularized extended finite element method. Zbl 1480.74266
Benvenuti, Elena; Orlando, Nicola
2
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.
2
2021
Wind turbine wake computation with the ST-VMS method, isogeometric discretization and multidomain method. II: Spatial and temporal resolution. Zbl 07431400
Kuraishi, Takashi; Zhang, Fulin; Takizawa, Kenji; Tezduyar, Tayfun E.
2
2021
Microstructure-informed reduced modes synthesized with Wang tiles and the generalized finite element method. Zbl 1480.74042
Doškář, Martin; Zeman, Jan; Krysl, Petr; Novák, Jan
2
2021
A variational phase-field model for ductile fracture with coalescence dissipation. Zbl 1480.74017
Hu, Tianchen; Talamini, Brandon; Stershic, Andrew J.; Tupek, Michael R.; Dolbow, John E.
2
2021
3D mixed virtual element formulation for dynamic elasto-plastic analysis. Zbl 1477.74117
Cihan, Mertcan; Hudobivnik, Blaž; Aldakheel, Fadi; Wriggers, Peter
2
2021
A note on Padé approximants of tensor logarithm with application to Hencky-type hyperelasticity. Zbl 1479.74014
Rezaee-Hajidehi, M.; Tůma, K.; Stupkiewicz, S.
2
2021
A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates. Zbl 1478.74087
Wang, Lihua; Liu, Yijia; Zhou, Yueting; Yang, Fan
2
2021
Subdivision-based isogeometric analysis for second order partial differential equations on surfaces. Zbl 07432614
Pan, Qing; Rabczuk, Timon; Yang, Xiaofeng
2
2021
Immersed boundary-conformal isogeometric method for linear elliptic problems. Zbl 1479.74130
Wei, Xiaodong; Marussig, Benjamin; Antolin, Pablo; Buffa, Annalisa
2
2021
Generalized finite difference method for a class of multidimensional space-fractional diffusion equations. Zbl 07360491
Sun, Hong Guang; Wang, Zhaoyang; Nie, Jiayi; Zhang, Yong; Xiao, Rui
1
2021
Correction to: “Gas turbine computational flow and structure analysis with isogeometric discretization and a complex-geometry mesh generation method”. Zbl 07360494
Bazilevs, Yuri; Takizawa, Kenji; Wu, Michael C. H.; Kuraishi, Takashi; Avsar, Reha; Xu, Zhaojing; Tezduyar, Tayfun E.
1
2021
The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking. Zbl 07360497
Chen, Lin; Li, Bin; de Borst, René
1
2021
Effect of microstructural variations on the failure response of a nano-enhanced polymer: a homogenization-based statistical analysis. Zbl 07360506
Yang, Ming; Garrard, Justin; Abedi, Reza; Soghrati, Soheil
1
2021
Modelling stress-induced anisotropy in multi-phase granular soils. Zbl 07360515
Ghorbani, Javad; Airey, David W.
1
2021
A unified-implementation of smoothed finite element method (UI-SFEM) for simulating biomechanical responses of multi-materials orthodontics. Zbl 07360517
Wu, Shao-Wei; Jiang, Chao; Jiang, Chen; Niu, Rui-Ping; Wan, De-Tao; Liu, G. R.
1
2021
Mesh moving techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency. Zbl 07360519
Shamanskiy, Alexander; Simeon, Bernd
1
2021
Fractional SUPG finite element formulation for multi-dimensional fractional advection diffusion equations. Zbl 07360520
Chen, Mingji; Luan, Shengzhi; Lian, Yanping
1
2021
A stress-driven computational homogenization method based on complementary potential energy variational principle for elastic composites. Zbl 07360522
Xie, Yuxi; Li, Shaofan
1
2021
A computational modeling approach based on random fields for short fiber-reinforced composites with experimental verification by nanoindentation and tensile tests. Zbl 07360525
Rauter, Natalie
1
2021
Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. Zbl 1468.74078
Ding, Chensen; Tamma, Kumar K.; Lian, Haojie; Ding, Yanjun; Dodwell, Timothy J.; Bordas, Stéphane P. A.
1
2021
Bounds optimization of model response moments: a twin-engine Bayesian active learning method. Zbl 1469.74092
Wei, Pengfei; Hong, Fangqi; Phoon, Kok-Kwang; Beer, Michael
1
2021
Multiresolution clustering analysis for efficient modeling of hierarchical material systems. Zbl 1468.74092
Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam
1
2021
A Newmark space-time formulation in structural dynamics. Zbl 1468.74022
Bamer, Franz; Shirafkan, Nima; Cao, Xiaodan; Oueslati, Abdelbacet; Stoffel, Marcus; de Saxcé, Géry; Markert, Bernd
1
2021
Crack identification with incomplete boundary data in linear elasticity by the reciprocity gap method. Zbl 1468.74051
Ferrier, R.; Kadri, M.; Gosselet, P.
1
2021
Transient multi-scale analysis with micro-inertia effects using direct FE\(^2\) method. Zbl 1467.74090
Zhi, Jie; Raju, Karthikayen; Tay, Tong-Earn; Tan, Vincent Beng Chye
1
2021
Numerical artifacts of fast Fourier transform solvers for elastic problems of multi-phase materials: their causes and reduction methods. Zbl 1467.74095
Ma, Xiao; Shakoor, Modesar; Vasiukov, Dmytro; Lomov, Stepan V.; Park, Chung Hae
1
2021
A strain-gradient formulation for fiber reinforced polymers: hybrid phase-field model for porous-ductile fracture. Zbl 1467.74080
Dittmann, M.; Schulte, J.; Schmidt, F.; Hesch, C.
1
2021
Design of optimized architected structures with exact size and connectivity via an enhanced multidomain topology optimization strategy. Zbl 1490.74083
Liu, Chang; Du, Zongliang; Zhang, Weisheng; Zhang, Xiaoyu; Mei, Yue; Guo, Xu
1
2021
Phase field modeling of ductile fracture at large plastic strains using adaptive isotropic remeshing. Zbl 1490.74098
Eldahshan, Hazem; Bouchard, Pierre-Olivier; Alves, José; Perchat, Etienne; Munoz, Daniel Pino
1
2021
Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis. Zbl 1477.74090
Kijanski, Wojciech; Barthold, Franz-Joseph
1
2021
A projected super-penalty method for the \(C^1\)-coupling of multi-patch isogeometric Kirchhoff plates. Zbl 1477.74113
Coradello, Luca; Loli, Gabriele; Buffa, Annalisa
1
2021
Goal-oriented error estimation and adaptivity in MsFEM computations. Zbl 1477.35258
Chamoin, Ludovic; Legoll, Frédéric
1
2021
Metaball based discrete element method for general shaped particles with round features. Zbl 1487.74123
Zhang, Pei; Dong, Yueshi; Galindo-Torres, S. A.; Scheuermann, A.; Li, Ling
1
2021
On the formulation and evaluation of old and new efficient low order triangular plate bending elements with shear effects. Zbl 1483.74087
Batoz, Jean-Louis; Antaluca, Eduard; Katili, Irwan
1
2021
ANN-aided incremental multiscale-remodelling-based finite strain poroelasticity. Zbl 1480.74063
Dehghani, Hamidreza; Zilian, Andreas
1
2021
Phase-field approach in elastoplastic solids: application of an iterative staggered scheme and its experimental validation. Zbl 1480.74283
Azinpour, E.; Cruz, D. J.; de Sa, J. M. A. Cesar; Santos, A.
1
2021
A numerical formulation for cavitating flows around marine propellers based on variational multiscale method. Zbl 1489.76037
Bayram, A.; Korobenko, A.
1
2021
A nonlocal damage model for concrete with three length scales. Zbl 1481.74686
Ahmed, Bilal; Voyiadjis, George Z.; Park, Taehyo
1
2021
Material parameter identification using finite elements with time-adaptive higher-order time integration and experimental full-field strain information. Zbl 1481.74371
Hartmann, Stefan; Gilbert, Rose Rogin
1
2021
Convolution finite element method: an alternative approach for time integration and time-marching algorithms. Zbl 1479.74117
Amiri-Hezaveh, A.; Masud, A.; Ostoja-Starzewski, M.
1
2021
Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects. Zbl 1477.74060
Stempin, Paulina; Sumelka, Wojciech
1
2021
MFNets: data efficient all-at-once learning of multifidelity surrogates as directed networks of information sources. Zbl 1481.94067
Gorodetsky, A. A.; Jakeman, J. D.; Geraci, G.
1
2021
Nodally integrated thermomechanical RKPM. I: Thermoelasticity. Zbl 1478.74084
Hillman, Michael; Lin, Kuan-Chung
1
2021
Computational stochastic homogenization of heterogeneous media from an elasticity random field having an uncertain spectral measure. Zbl 1478.74017
Soize, Christian
1
2021
Risk-averse approach for topology optimization of fail-safe structures using the level-set method. Zbl 1487.74104
Martínez-Frutos, J.; Ortigosa, R.
1
2021
A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis. Zbl 1479.74134
Deng, Like; Wang, Dongdong; Qi, Dongliang
1
2021
Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish. Zbl 1479.76123
Blumers, Ansel L.; Yin, Minglang; Nakajima, Hiroyuki; Hasegawa, Yosuke; Li, Zhen; Karniadakis, George Em
1
2021
Heart valve isogeometric sequentially-coupled FSI analysis with the space-time topology change method. Zbl 1462.74119
Terahara, Takuya; Takizawa, Kenji; Tezduyar, Tayfun E.; Bazilevs, Yuri; Hsu, Ming-Chen
23
2020
Ventricle-valve-aorta flow analysis with the space-time isogeometric discretization and topology change. Zbl 1465.76118
Terahara, Takuya; Takizawa, Kenji; Tezduyar, Tayfun E.; Tsushima, Atsushi; Shiozaki, Kensuke
22
2020
Element length calculation in B-spline meshes for complex geometries. Zbl 1462.76148
Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.
13
2020
An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS. Zbl 1464.74150
Paul, Karsten; Zimmermann, Christopher; Mandadapu, Kranthi K.; Hughes, Thomas J. R.; Landis, Chad M.; Sauer, Roger A.
10
2020
Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study. Zbl 1469.92127
Viguerie, Alex; Veneziani, Alessandro; Lorenzo, Guillermo; Baroli, Davide; Aretz-Nellesen, Nicole; Patton, Alessia; Yankeelov, Thomas E.; Reali, Alessandro; Hughes, Thomas J. R.; Auricchio, Ferdinando
10
2020
Space-time variational multiscale isogeometric analysis of a tsunami-shelter vertical-axis wind turbine. Zbl 1468.74079
Otoguro, Yuto; Mochizuki, Hiroki; Takizawa, Kenji; Tezduyar, Tayfun E.
10
2020
A low-distortion mesh moving method based on fiber-reinforced hyperelasticity and optimized zero-stress state. Zbl 1464.74369
Takizawa, Kenji; Tezduyar, Tayfun E.; Avsar, Reha
10
2020
Variational multiscale framework for cavitating flows. Zbl 1465.76051
Bayram, A.; Korobenko, Artem
8
2020
Porous-ductile fracture in thermo-elasto-plastic solids with contact applications. Zbl 1462.74143
Krüger, Melanie; Dittmann, M.; Aldakheel, F.; Härtel, A.; Wriggers, P.; Hesch, Christian
7
2020
A Bayesian estimation method for variational phase-field fracture problems. Zbl 1462.74139
Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens
7
2020
A mortar-type finite element approach for embedding 1D beams into 3D solid volumes. Zbl 1465.74167
Steinbrecher, Ivo; Mayr, Matthias; Grill, Maximilian J.; Kremheller, Johannes; Meier, Christoph; Popp, Alexander
7
2020
Isogeometric analysis of ice accretion on wind turbine blades. Zbl 1466.74051
Johnson, Emily L.; Hsu, Ming-Chen
7
2020
A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites. Zbl 1462.74137
Denli, Funda Aksu; Gültekin, Osman; Holzapfel, Gerhard A.; Dal, Hüsnü
6
2020
Bayesian-based predictions of COVID-19 evolution in Texas using multispecies mixture-theoretic continuum models. Zbl 1469.92111
Jha, Prashant K.; Cao, Lianghao; Oden, J. Tinsley
6
2020
Adaptive refinement for phase-field models of brittle fracture based on Nitsche’s method. Zbl 1464.74193
Muixí, Alba; Fernández-Méndez, Sonia; Rodríguez-Ferran, Antonio
6
2020
Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models. Zbl 1465.74017
Shojaei, Arman; Hermann, Alexander; Seleson, Pablo; Cyron, Christian J.
5
2020
The reproduction number of COVID-19 and its correlation with public health interventions. Zbl 1469.92116
Linka, Kevin; Peirlinck, Mathias; Kuhl, Ellen
5
2020
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30 Areias, Pedro M. A.
30 Atluri, Satya N.
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147 Journal of the Mechanics and Physics of Solids
133 Mathematical Problems in Engineering
127 International Journal of Solids and Structures
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57 Inverse Problems in Science and Engineering
56 Numerische Mathematik
49 Numerical Algorithms
48 Journal of Engineering Mathematics
46 Structural and Multidisciplinary Optimization
45 Multibody System Dynamics
43 International Journal of Computer Mathematics
43 European Journal of Mechanics. B. Fluids
42 Wave Motion
41 Nonlinear Dynamics
40 International Journal of Numerical Methods for Heat & Fluid Flow
39 Mathematics and Computers in Simulation
39 Continuum Mechanics and Thermodynamics
39 Communications in Nonlinear Science and Numerical Simulation
38 Applied Mathematics and Mechanics. (English Edition)
38 Advances in Applied Mathematics and Mechanics
35 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
33 International Journal of Heat and Mass Transfer
33 Advances in Computational Mathematics
32 International Journal for Numerical and Analytical Methods in Geomechanics
32 Computational and Applied Mathematics
32 Computational Geosciences
30 International Journal of Computational Fluid Dynamics
29 Applied Mathematics Letters
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
27 Mathematics of Computation
27 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
26 SIAM Journal on Numerical Analysis
26 Communications in Computational Physics
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
24 Computer Aided Geometric Design
24 AMM. Applied Mathematics and Mechanics. (English Edition)
23 Mathematical Methods in the Applied Sciences
23 Physics of Fluids
23 International Journal of Structural Stability and Dynamics
22 Mathematical and Computer Modelling
19 Applicable Analysis
19 Journal of Vibration and Control
19 Optimization and Engineering
18 Journal of Mathematical Analysis and Applications
18 Chaos, Solitons and Fractals
18 Journal of Computational Acoustics
16 Computer Physics Communications
16 International Journal of Applied and Computational Mathematics
15 Journal of Applied Mathematics
15 Journal of Numerical Mathematics
14 Archive for Rational Mechanics and Analysis
13 Physica A
13 Calcolo
13 Mechanics Research Communications
13 SIAM Journal on Applied Mathematics
13 Advances in Difference Equations
12 BIT
12 Journal of Optimization Theory and Applications
12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Computational Methods in Applied Mathematics
12 Multiscale Modeling & Simulation
12 Discrete and Continuous Dynamical Systems. Series S
11 Advances in Engineering Software
11 Journal of Zhejiang University. Science A
11 Computational & Mathematical Methods in Medicine
11 PAMM. Proceedings in Applied Mathematics and Mechanics
10 Journal of Integral Equations and Applications
10 GAMM-Mitteilungen
...and 296 more Journals
all top 5

Cited in 52 Fields

9,324 Mechanics of deformable solids (74-XX)
6,194 Numerical analysis (65-XX)
3,225 Fluid mechanics (76-XX)
1,647 Partial differential equations (35-XX)
550 Biology and other natural sciences (92-XX)
489 Classical thermodynamics, heat transfer (80-XX)
258 Optics, electromagnetic theory (78-XX)
240 Mechanics of particles and systems (70-XX)
222 Calculus of variations and optimal control; optimization (49-XX)
208 Statistical mechanics, structure of matter (82-XX)
193 Operations research, mathematical programming (90-XX)
173 Computer science (68-XX)
173 Geophysics (86-XX)
131 Ordinary differential equations (34-XX)
113 Integral equations (45-XX)
110 Approximations and expansions (41-XX)
93 Statistics (62-XX)
92 Real functions (26-XX)
74 Systems theory; control (93-XX)
69 Probability theory and stochastic processes (60-XX)
61 Dynamical systems and ergodic theory (37-XX)
51 Potential theory (31-XX)
46 Operator theory (47-XX)
41 Quantum theory (81-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
24 Integral transforms, operational calculus (44-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
19 Differential geometry (53-XX)
18 Functions of a complex variable (30-XX)
17 Information and communication theory, circuits (94-XX)
16 Functional analysis (46-XX)
13 Combinatorics (05-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 History and biography (01-XX)
9 General and overarching topics; collections (00-XX)
9 Special functions (33-XX)
9 Difference and functional equations (39-XX)
7 Measure and integration (28-XX)
3 Convex and discrete geometry (52-XX)
3 Relativity and gravitational theory (83-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Sequences, series, summability (40-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year