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Kikuchi, Norio

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Author ID: kikuchi.norio Recent zbMATH articles by "Kikuchi, Norio"
Published as: Kikuchi, N.; Kikuchi, Norio
Documents Indexed: 57 Publications since 1966

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 388 times in 336 Documents Cited by Year
A class of general algorithms for multi-scale analyses of heterogeneous media. Zbl 1001.74095
Terada, K.; Kikuchi, N.
95
2001
A comparison of homogenization and standard mechanics analyses for periodic porous composites. Zbl 0787.73008
Hollister, S. J.; Kikuchi, N.
37
1992
Optimal design of piezoelectric microstructures. Zbl 0889.73053
Silva, E. C. Nelli; Ono Fonseca, J. S.; Kikuchi, N.
23
1997
Topology optimization with design-dependent loads. Zbl 0962.74049
Chen, B.-C.; Kikuchi, N.
21
2001
An approach to the construction of Morse flows for variational functionals. Zbl 0850.76043
Kikuchi, Norio
19
1991
A method of two-scale thermo-mechanical analysis for porous solids with micro-scale heat transfer. Zbl 1398.74076
Terada, K.; Kurumatani, M.; Ushida, T.; Kikuchi, N.
17
2010
Digital image-based modeling applied to the homogenization analysis of composite materials. Zbl 0898.73045
Terada, K.; Miura, T.; Kikuchi, N.
17
1997
Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130
Kikuchi, N.; Seregin, G.
16
2007
On some fundamental theorems of contingent equations in connection with the control problems. Zbl 0189.47301
Kikuchi, Norio
14
1967
Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method. Zbl 0926.74097
Terada, K.; Ito, T.; Kikuchi, N.
12
1998
On the absolute continuity of multi-functions and orientor fields. Zbl 0248.49023
Kikuchi, Norio; Tomita, Yoshihito
10
1971
Control problems of contingent equation. Zbl 0189.47203
Kikuchi, Norio
10
1967
Kneser’s property for a parabolic partial differential equation. Zbl 0801.35047
Kikuchi, Norio
9
1993
On contingent equations satisfying the Caratheodory type conditions. Zbl 0197.13106
Kikuchi, Norio
9
1968
An incremental constitutive relation of unilateral contact friction for large deformation analysis. Zbl 0568.73113
Cheng, J.-H.; Kikuchi, N.
8
1985
Convergence of Rothe’s method in Hölder spaces. Zbl 1099.65079
Kikuchi, N.; Kačur, J.
7
2003
Calderón-Zygmund operators on amalgam spaces and in the discrete case. Zbl 1125.43001
Kikuchi, Norio; Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô; Yoneda, Tsuyoshi
6
2007
A method of constructing Morse flows to variational functionals. Zbl 0802.35068
Kikuchi, Norio
6
1994
Kneser’s property for \(\partial U/\partial T=\Delta U+\sqrt U\). Zbl 0391.35011
Kikuchi, Norio
5
1978
Construction of harmonic map flows through the method of discrete Morse flows. Zbl 1120.53304
Haga, Jun-ichi; Hoshino, Keisuke; Kikuchi, Norio
4
2004
On a certain class of elastic materials with non-elliptic energy densities. Zbl 0496.73037
Kikuchi, N.; Triantafyllidis, N.
4
1982
On control problems for functional-differential equations. Zbl 0254.49043
Kikuchi, Norio
4
1971
Campanato-type boundary estimates for Rothe’s scheme to parabolic partial differential systems with constant coefficients. Zbl 1156.35337
Kato, Nobuyuki; Kikuchi, Norio
3
2007
Kneser’s property and mapping degree to multi-valued Poincaré map described by a semilinear parabolic partial differential equation. Zbl 0911.35065
Kaminogo, T.; Kikuchi, N.
3
1997
The boundary layer equation \(x'''+2xx''+2\lambda(1-x^{\prime^2})=0\) for \(\lambda >-0.19880\). Zbl 0408.76016
Kikuchi, Norio; Hayashi, Kiyoshi; Kaminogou, Takashi
3
1975
An assumed strain method for the dispersive global-local modeling of periodic structures. Zbl 1005.74067
McDevitt, T. W.; Hulbert, G. M.; Kikuchi, N.
2
2001
On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type. Zbl 0969.35134
Haga, Jun-ichi; Kikuchi, Norio
2
2000
Plane harmonic wave propagation in three-dimensional composite media. Zbl 0979.74037
McDevitt, T. W.; Hulbert, G. M.; Kikuchi, N.
2
1999
Reverse Hölder inequality for functions with discrete-time variable. Zbl 0949.26010
Hoshino, Keisuke; Kikuchi, Norio
2
1999
On construction of weak solutions with higher integrable gradients to linear hyperbolic partial differential systems. Zbl 0928.35091
Hoshino, K.; Kikuchi, N.
2
1996
Campanato type estimates for solutions of difference-elliptic partial differential equations with constant coefficients. Zbl 0705.35021
Kikuchi, Norio; Misawa, Masashi
2
1990
An existence theorem of solutions of non-linear integral equations. Zbl 0261.45004
Kikuchi, Norio; Nakagiri, Shin’ichi
2
1972
A mixed initial and boundary-value problem for the Hamilton-Jacobi equation in several space variables. Zbl 0162.41102
Aizawa, Sadakazu; Kikuchi, Norio
2
1966
Hölder estimates of solutions to difference partial differential equations of elliptic-parabolic type. Zbl 0983.35027
Kikuchi, Norio
1
2001
Gehring theory for time-discrete hyperbolic differential equations. Zbl 1060.35527
Hoshino, K.; Kikuchi, N.
1
1998
Damage theory applied to the analysis of composite materials subjected to a loss of adherence between its constituents. Zbl 0921.73220
Alves, M. K.; Kikuchi, N.
1
1998
On existence of a harmonic variational flow subjected to two-sided conditions. Zbl 0911.35058
Haga, J.; Kikuchi, N.
1
1997
Finite element analysis of large deformation problems including unilateral contact and friction. Zbl 0555.73052
Kikuchi, N.; Cheng, J.-H.
1
1983
On a construction of a solution for \(\partial u/\partial t = \phi(u'')\) \((\phi' \geq \lambda > 0\), \(\phi(0)=0\)) with initial and boundary conditions. Zbl 0485.35057
Kikuchi, Norio
1
1982
An elasto-plastic rigid punch problem using variational inequalities. Zbl 0502.73097
Kikuchi, N.; Skalski, K.
1
1981
On the nonlinear parabolic equation of Eells-Sampson and a harmonic mapping with boundary condition. Zbl 0473.58009
Kikuchi, Norio
1
1981
Kneser’s property of solutions of non-linear integral equations. Zbl 0299.45008
Kikuchi, Norio; Nakagiri, Shin’ichi
1
1974
On contingent equations. Zbl 0254.49044
Kikuchi, Norio
1
1971
A method of two-scale thermo-mechanical analysis for porous solids with micro-scale heat transfer. Zbl 1398.74076
Terada, K.; Kurumatani, M.; Ushida, T.; Kikuchi, N.
17
2010
Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130
Kikuchi, N.; Seregin, G.
16
2007
Calderón-Zygmund operators on amalgam spaces and in the discrete case. Zbl 1125.43001
Kikuchi, Norio; Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô; Yoneda, Tsuyoshi
6
2007
Campanato-type boundary estimates for Rothe’s scheme to parabolic partial differential systems with constant coefficients. Zbl 1156.35337
Kato, Nobuyuki; Kikuchi, Norio
3
2007
Construction of harmonic map flows through the method of discrete Morse flows. Zbl 1120.53304
Haga, Jun-ichi; Hoshino, Keisuke; Kikuchi, Norio
4
2004
Convergence of Rothe’s method in Hölder spaces. Zbl 1099.65079
Kikuchi, N.; Kačur, J.
7
2003
A class of general algorithms for multi-scale analyses of heterogeneous media. Zbl 1001.74095
Terada, K.; Kikuchi, N.
95
2001
Topology optimization with design-dependent loads. Zbl 0962.74049
Chen, B.-C.; Kikuchi, N.
21
2001
An assumed strain method for the dispersive global-local modeling of periodic structures. Zbl 1005.74067
McDevitt, T. W.; Hulbert, G. M.; Kikuchi, N.
2
2001
Hölder estimates of solutions to difference partial differential equations of elliptic-parabolic type. Zbl 0983.35027
Kikuchi, Norio
1
2001
On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type. Zbl 0969.35134
Haga, Jun-ichi; Kikuchi, Norio
2
2000
Plane harmonic wave propagation in three-dimensional composite media. Zbl 0979.74037
McDevitt, T. W.; Hulbert, G. M.; Kikuchi, N.
2
1999
Reverse Hölder inequality for functions with discrete-time variable. Zbl 0949.26010
Hoshino, Keisuke; Kikuchi, Norio
2
1999
Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method. Zbl 0926.74097
Terada, K.; Ito, T.; Kikuchi, N.
12
1998
Gehring theory for time-discrete hyperbolic differential equations. Zbl 1060.35527
Hoshino, K.; Kikuchi, N.
1
1998
Damage theory applied to the analysis of composite materials subjected to a loss of adherence between its constituents. Zbl 0921.73220
Alves, M. K.; Kikuchi, N.
1
1998
Optimal design of piezoelectric microstructures. Zbl 0889.73053
Silva, E. C. Nelli; Ono Fonseca, J. S.; Kikuchi, N.
23
1997
Digital image-based modeling applied to the homogenization analysis of composite materials. Zbl 0898.73045
Terada, K.; Miura, T.; Kikuchi, N.
17
1997
Kneser’s property and mapping degree to multi-valued Poincaré map described by a semilinear parabolic partial differential equation. Zbl 0911.35065
Kaminogo, T.; Kikuchi, N.
3
1997
On existence of a harmonic variational flow subjected to two-sided conditions. Zbl 0911.35058
Haga, J.; Kikuchi, N.
1
1997
On construction of weak solutions with higher integrable gradients to linear hyperbolic partial differential systems. Zbl 0928.35091
Hoshino, K.; Kikuchi, N.
2
1996
A method of constructing Morse flows to variational functionals. Zbl 0802.35068
Kikuchi, Norio
6
1994
Kneser’s property for a parabolic partial differential equation. Zbl 0801.35047
Kikuchi, Norio
9
1993
A comparison of homogenization and standard mechanics analyses for periodic porous composites. Zbl 0787.73008
Hollister, S. J.; Kikuchi, N.
37
1992
An approach to the construction of Morse flows for variational functionals. Zbl 0850.76043
Kikuchi, Norio
19
1991
Campanato type estimates for solutions of difference-elliptic partial differential equations with constant coefficients. Zbl 0705.35021
Kikuchi, Norio; Misawa, Masashi
2
1990
An incremental constitutive relation of unilateral contact friction for large deformation analysis. Zbl 0568.73113
Cheng, J.-H.; Kikuchi, N.
8
1985
Finite element analysis of large deformation problems including unilateral contact and friction. Zbl 0555.73052
Kikuchi, N.; Cheng, J.-H.
1
1983
On a certain class of elastic materials with non-elliptic energy densities. Zbl 0496.73037
Kikuchi, N.; Triantafyllidis, N.
4
1982
On a construction of a solution for \(\partial u/\partial t = \phi(u'')\) \((\phi' \geq \lambda > 0\), \(\phi(0)=0\)) with initial and boundary conditions. Zbl 0485.35057
Kikuchi, Norio
1
1982
An elasto-plastic rigid punch problem using variational inequalities. Zbl 0502.73097
Kikuchi, N.; Skalski, K.
1
1981
On the nonlinear parabolic equation of Eells-Sampson and a harmonic mapping with boundary condition. Zbl 0473.58009
Kikuchi, Norio
1
1981
Kneser’s property for \(\partial U/\partial T=\Delta U+\sqrt U\). Zbl 0391.35011
Kikuchi, Norio
5
1978
The boundary layer equation \(x'''+2xx''+2\lambda(1-x^{\prime^2})=0\) for \(\lambda >-0.19880\). Zbl 0408.76016
Kikuchi, Norio; Hayashi, Kiyoshi; Kaminogou, Takashi
3
1975
Kneser’s property of solutions of non-linear integral equations. Zbl 0299.45008
Kikuchi, Norio; Nakagiri, Shin’ichi
1
1974
An existence theorem of solutions of non-linear integral equations. Zbl 0261.45004
Kikuchi, Norio; Nakagiri, Shin’ichi
2
1972
On the absolute continuity of multi-functions and orientor fields. Zbl 0248.49023
Kikuchi, Norio; Tomita, Yoshihito
10
1971
On control problems for functional-differential equations. Zbl 0254.49043
Kikuchi, Norio
4
1971
On contingent equations. Zbl 0254.49044
Kikuchi, Norio
1
1971
On contingent equations satisfying the Caratheodory type conditions. Zbl 0197.13106
Kikuchi, Norio
9
1968
On some fundamental theorems of contingent equations in connection with the control problems. Zbl 0189.47301
Kikuchi, Norio
14
1967
Control problems of contingent equation. Zbl 0189.47203
Kikuchi, Norio
10
1967
A mixed initial and boundary-value problem for the Hamilton-Jacobi equation in several space variables. Zbl 0162.41102
Aizawa, Sadakazu; Kikuchi, Norio
2
1966
all top 5

Cited by 589 Authors

9 Yvonnet, Julien
7 Fish, Jacob
7 Kikuchi, Noboru
7 Omata, Seiro
7 Yang, Zhiqiang
6 Geers, Marc G. D.
6 Kikuchi, Norio
6 Kouznetsova, Varvara G.
6 Nishiwaki, Shinji
6 Terada, Kenjiro
6 Valero, José
5 Abdulle, Assyr
5 Cui, Junzhi
5 de Souza Neto, Eduardo Alberto
5 Fernandes, Gabriela Rezende
5 Kaminogo, Takashi
5 Papageorgiou, Nikolaos S.
4 Bradshaw, Zachary
4 Chistyakov, Vyacheslav V.
4 De, Suvranu
4 Keip, Marc-André
4 Nagasawa, Takeyuki
4 Seregin, Gregory A.
4 Sun, Yi
4 Švadlenka, Karel
4 Tsai, Tai-Peng
4 Yang, Zihao
4 Yuan, Zheng
3 Berger, J. R.
3 Bosco, E.
3 Brekelmans, W. A. M.
3 Coenen, E. W. C.
3 Dong, Hao
3 Fonseca, Jun Sérgio Ono
3 He, Qichang
3 Izui, Kazuhiro
3 Kamiński, Marcin Marek
3 Li, Xikui
3 Misawa, Masashi
3 Morillas, Francisco G.
3 Nelli Silva, Emílio C.
3 Oden, John Tinsley
3 Pence, Thomas J.
3 Pituba, José J. C.
3 Sigmund, Ole
3 Steinmann, Paul
3 Šverák, Vladimír
3 Temizer, Ilker
3 Tolstonogov, Aleksandr Aleksandrovich
3 Tortorelli, Daniel A.
3 Zahrouni, Hamid
2 Bahuguna, Dhirendra
2 Barker, Tobias
2 Bellido, José Carlos
2 Benton, Stanley H. jun.
2 Blanco, Pablo Javier
2 Bruggi, Matteo
2 Chatzigeorgiou, George
2 Cheng, Gengdong
2 Choi, Jaeseok
2 Doblaré, Manuel
2 Donoso, Alberto
2 Duzaar, Frank
2 Elmabrouk, B.
2 Fan, Rong
2 Feijóo, Raúl Antonino
2 Fernández-Dalgo, Pedro Gabriel
2 Gao, Tong
2 Ghosh, Somnath
2 Ginder, Elliott
2 Giusti, Sebastián M.
2 Goblet, Jordan
2 Gonella, Stefano
2 Himmelberg, C. J.
2 Javili, Ali
2 Kapustyan, Oleksiy V.
2 Kato, Nobuyuki
2 Kazama, Masaki
2 Kikuchi, Koji
2 Kurumatani, Mao
2 Lee, Chang-Yong
2 Lee, Edmund
2 Liu, Shutian
2 Łojasiewicz, Stanisław jun.
2 Ma, Qiang
2 Martins, Joaquim R. R. A.
2 Meraghni, Fodil
2 Miehe, Christian
2 Nakshatrala, P. B.
2 Nezamabadi, Saeid
2 Nie, Yufeng
2 Nonnenmacher, Achim
2 Potier-Ferry, Michel
2 Prange, Christophe
2 Pruchnicki, Erick
2 Raheem, Abdur
2 Rahul, R.
2 Rohan, Eduard
2 Ruzzene, Massimo
2 Saeb, Saba
...and 489 more Authors
all top 5

Cited in 101 Serials

68 Computer Methods in Applied Mechanics and Engineering
31 International Journal for Numerical Methods in Engineering
20 Computational Mechanics
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal of Mathematical Analysis and Applications
8 Engineering Analysis with Boundary Elements
8 Archives of Computational Methods in Engineering
7 Journal of the Mechanics and Physics of Solids
7 Structural and Multidisciplinary Optimization
6 International Journal of Solids and Structures
6 Journal of Differential Equations
6 European Journal of Mechanics. A. Solids
6 Nonlinear Analysis. Theory, Methods & Applications
5 Acta Mechanica
5 Journal of Computational Physics
4 Applied Mathematics and Computation
4 Czechoslovak Mathematical Journal
4 Tohoku Mathematical Journal. Second Series
4 Mathematics and Mechanics of Solids
3 Archive for Rational Mechanics and Analysis
3 Communications in Mathematical Physics
3 Mathematical Notes
3 Journal of Soviet Mathematics
3 Journal of Elasticity
3 Journal of Mathematical Sciences (New York)
3 Acta Mechanica Sinica
2 International Journal of Plasticity
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Optimization
2 Journal of Computational and Applied Mathematics
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Meccanica
2 Rendiconti del Seminario Matematico della Università di Padova
2 Topology and its Applications
2 Systems & Control Letters
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Continuum Mechanics and Thermodynamics
2 Journal of Mathematical Fluid Mechanics
2 International Journal of Computational Methods
2 International Journal for Computational Methods in Engineering Science and Mechanics
2 Publications of the Research Institute for Mathematical Sciences, Series A
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 International Journal of Heat and Mass Transfer
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Theoretical and Computational Fluid Dynamics
1 Reviews in Mathematical Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Automatica
1 Inventiones Mathematicae
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Manuscripta Mathematica
1 Mathematica Slovaca
1 Mechanics Research Communications
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
1 Operations Research Letters
1 Bulletin of the Iranian Mathematical Society
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 The Journal of Geometric Analysis
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 Journal of Statistical Computation and Simulation
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 SIAM Journal on Scientific Computing
1 Computational and Applied Mathematics
1 Journal of Difference Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 Differential Equations and Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Engineering Computations
1 Journal of Dynamical and Control Systems
1 Optimization and Engineering
1 Annales Henri Poincaré
1 Differential Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Function Spaces and Applications
1 International Journal of Fracture
1 Nonlinear Oscillations
1 Banach Journal of Mathematical Analysis
1 Advances in Calculus of Variations
1 Afrika Matematika
...and 1 more Serials
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Cited in 35 Fields

206 Mechanics of deformable solids (74-XX)
71 Partial differential equations (35-XX)
47 Numerical analysis (65-XX)
31 Fluid mechanics (76-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
25 Ordinary differential equations (34-XX)
16 Global analysis, analysis on manifolds (58-XX)
11 Systems theory; control (93-XX)
10 Operator theory (47-XX)
9 General topology (54-XX)
8 Differential geometry (53-XX)
8 Biology and other natural sciences (92-XX)
7 Real functions (26-XX)
7 Measure and integration (28-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Classical thermodynamics, heat transfer (80-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Operations research, mathematical programming (90-XX)
3 Difference and functional equations (39-XX)
3 Optics, electromagnetic theory (78-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year