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Kikuchi, Fumio

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Author ID: kikuchi.fumio Recent zbMATH articles by "Kikuchi, Fumio"
Published as: Kikuchi, F.; Kikuchi, Fumio
Documents Indexed: 72 Publications since 1973, including 1 Book
Reviewing Activity: 38 Reviews

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 335 times in 263 Documents Cited by Year
On a discrete compactness property for the Nedelec finite elements. Zbl 0698.65067
Kikuchi, Fumio
38
1989
Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism. Zbl 0644.65087
Kikuchi, Fumio
36
1987
An arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity. Zbl 0777.73077
Yamada, Takahiro; Kikuchi, Fumio
18
1993
Accuracy of some finite element models for arch problems. Zbl 0499.73068
Kikuchi, Fumio
18
1982
Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria. Zbl 0634.76117
Kikuchi, Fumio; Nakazato, Kenji; Ushijima, Teruo
16
1984
Analysis and estimation of error constants for \(P_0\) and \(P_1\) interpolations over triangular finite elements. Zbl 1248.65118
Liu, Xuefeng; Kikuchi, Fumio
15
2010
Mixed formulations for finite element analysis of magnetostatic and electrostatic problems. Zbl 0679.65090
Kikuchi, Fumio
15
1989
On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements. Zbl 0301.73023
Kikuchi, Fumio
12
1975
Estimation of interpolation error constants for the \(P_0\) and \(P_1\) triangular finite elements. Zbl 1173.65346
Kikuchi, Fumio; Liu, Xuefeng
11
2007
Modification of the 8-node serendipity element. Zbl 0979.74067
Kikuchi, Fumio; Okabe, Masayuki; Fujio, Hidehiro
11
1999
An improved 4-node quadrilateral plate bending element of the Reissner-Mindlin type. Zbl 0962.74062
Kikuchi, F.; Ishii, K.
11
1999
Determination of the Babuska-Aziz constant for the linear triangular finite element. Zbl 1098.65107
Kikuchi, Fumio; Liu, Xuefeng
10
2006
Edge element computation of Maxwell’s eigenvalues on general quadrilateral meshes. Zbl 1097.65113
Boffi, Daniele; Kikuchi, Fumio; Schöberl, Joachim
9
2006
On a finite element scheme based on the discrete Kirchhoff assumption. Zbl 0295.73067
Kikuchi, Fumio
8
1975
On finite element methods for convection dominated phenomena. Zbl 0476.65076
Kikuchi, F.; Ushijima, T.
7
1982
Discontinuous Galerkin FEM of hybrid type. Zbl 1271.65142
Oikawa, Issei; Kikuchi, Fumio
6
2010
Interpolation error estimates of a modified 8-node serendipity finite element. Zbl 0970.65119
Zhang, Jing; Kikuchi, Fumio
6
2000
An isomorphic property of two Hilbert spaces appearing in electromagnetism: Analysis by the mixed formulation. Zbl 0613.46040
Kikuchi, Fumio
6
1986
Explicit expressions of shape functions for the modified 8-node serendipity element. Zbl 0809.73067
Kikuchi, Fumio
5
1994
Rellich-type discrete compactness for some discontinuous Galerkin FEM. Zbl 1258.65098
Kikuchi, Fumio
4
2012
Error analysis of flat plate element approximation of circular cylindrical shells. Zbl 0607.73084
Kikuchi, Fumio
4
1984
Accuracy and locking-free property of the beam element approximation for arch problems. Zbl 0558.73069
Kikuchi, Fumio; Tanizawa, Kazuo
4
1984
Finite element approximations to bifurcation problems of turning point type. Zbl 0416.65068
Kikuchi, F.
4
1979
Explicit estimation of error constants appearing in non-conforming linear triangular finite element method. Zbl 06945738
Liu, Xuefeng; Kikuchi, Fumio
3
2018
Finite element analysis of a nondifferentiable nonlinear problem related to MHD equilibria. Zbl 0652.76071
Kikuchi, Fumio
3
1988
An abstract analysis of parameter dependent problems and its applications to mixed finite element methods. Zbl 0596.65091
Kikuchi, Fumio
3
1985
Locking phenomena in finite element analysis of large deflection problems. Zbl 0607.73074
Kikuchi, Fumio; Aizawa, Tatsuhiko
3
1984
Theoretical analysis of some finite element schemes for convective diffusion equations. Zbl 0456.76067
Kikuchi, F.; Ushijima, T.
3
1980
Theory and examples of partial approximation in the finite element method. Zbl 0321.73056
Kikuchi, Fumio
3
1976
On the validity of an approximation available in the finite element shell analysis. Zbl 0328.73056
Kikuchi, Fumio
3
1975
Convergence of the ACM finite element scheme for plate bending problems. Zbl 0326.73065
Kikuchi, Fumio
3
1975
A finite element method for non-self-adjoint problems. Zbl 0258.65109
Kikuchi, Fumio
3
1973
On volumetric locking in a hybrid symmetric interior penalty method for nearly incompressible linear elasticity on polygonal meshes. Zbl 1433.65302
Koyama, Daisuke; Kikuchi, Fumio
2
2017
Remarks on a posteriori error estimation for finite element solutions. Zbl 1109.65094
Kikuchi, Fumio; Saito, Hironobu
2
2007
A numerical method for 3-D eddy current problems. Zbl 0983.78022
Kanayama, Hiroshi; Tagami, Daisuke; Saito, Masahiro; Kikuchi, Fumio
2
2001
Theoretical analysis of Nedelec’s edge elements. Zbl 0987.65113
Kikuchi, Fumio
2
2001
3-D eddy current computation using the Nedelec elements. Zbl 1073.65561
Kanayama, Hiroshi; Kikuchi, Fumio
2
1999
An iteration method for finite element analysis of magnetostatic problems. Zbl 0835.65149
Kikuchi, Fumio; Fukuhara, Makoto
2
1995
Numerical analysis of electrostatic and magnetostatic fields. Zbl 0738.65091
Kikuchi, Fumio
2
1990
A mixed finite element method for large deformation analysis of incompressible hyperelastic materials. Zbl 0753.73076
Yamada, Takahiro; Kikuchi, Fumio
2
1990
Numerical analysis of electrostatic and magnetostatic problems. Zbl 0796.65140
Kikuchi, Fumio
2
1990
An imbedding theorem for a Hilbert space appearing in electromagnetics. Zbl 0653.46026
Kaizu, Satoshi; Kikuchi, Fumio
2
1987
An iteration method for the mixed formulation of parameter dependent problems related to the Stokes equations. Zbl 0628.76039
Kikuchi, F.; Navarro, M. P.
2
1986
Notes on the lumped mass approximation for vibration problems. Zbl 0392.73078
Kikuchi, Fumio
2
1976
Strong \(L^p\) convergence associated with Rellich-type discrete compactness for discontinuous Galerkin FEM. Zbl 07037316
Kikuchi, Fumio; Koyama, Daisuke
1
2014
Theoretical aspects of Nedelec’s edge elements applied to eletromagnetic problems. Zbl 0993.78019
Kikuchi, Fumio
1
2000
An iterative approach for finite elements analyses of 3-D eddy current problems. Zbl 0968.78524
Kanayama, Hiroshi; Tagami, Daisuke; Saito, Masahiro; Kikuchi, Fumio
1
2000
A mixed finite element method for 3-D analysis of cavity resonators. Zbl 0790.65102
Kikuchi, Fumio; Hara, Masahiro; Wada, Takeshi
1
1992
A 9-node mixed shell element based on the Hu-Washizu principle. Zbl 0735.73083
Yamada, T.; Kikuchi, F.; Wada, A.
1
1991
Control of spurious modes in a 9-node shell element based on the assumed strain approach. Zbl 0724.73225
Yamada, Takahiro; Wada, Akira; Kikuchi, Fumio
1
1989
Weak formulations for finite element analysis of an eigenvalue problem. Zbl 0689.65079
Kikuchi, Fumio
1
1989
Application of an iteration scheme to the analysis of incompressible or nearly incompressible media. Zbl 0632.76036
Kikuchi, Fumio
1
1986
On the discrete Kirchhoff approach for plate bending problems. Zbl 0559.73076
Kikuchi, Fumio
1
1982
Finite element analysis of MHD equilibria. Zbl 0559.76108
Kikuchi, Fumio; Aizawa, Tatsuhiko
1
1981
Explicit estimation of error constants appearing in non-conforming linear triangular finite element method. Zbl 06945738
Liu, Xuefeng; Kikuchi, Fumio
3
2018
On volumetric locking in a hybrid symmetric interior penalty method for nearly incompressible linear elasticity on polygonal meshes. Zbl 1433.65302
Koyama, Daisuke; Kikuchi, Fumio
2
2017
Strong \(L^p\) convergence associated with Rellich-type discrete compactness for discontinuous Galerkin FEM. Zbl 07037316
Kikuchi, Fumio; Koyama, Daisuke
1
2014
Rellich-type discrete compactness for some discontinuous Galerkin FEM. Zbl 1258.65098
Kikuchi, Fumio
4
2012
Analysis and estimation of error constants for \(P_0\) and \(P_1\) interpolations over triangular finite elements. Zbl 1248.65118
Liu, Xuefeng; Kikuchi, Fumio
15
2010
Discontinuous Galerkin FEM of hybrid type. Zbl 1271.65142
Oikawa, Issei; Kikuchi, Fumio
6
2010
Estimation of interpolation error constants for the \(P_0\) and \(P_1\) triangular finite elements. Zbl 1173.65346
Kikuchi, Fumio; Liu, Xuefeng
11
2007
Remarks on a posteriori error estimation for finite element solutions. Zbl 1109.65094
Kikuchi, Fumio; Saito, Hironobu
2
2007
Determination of the Babuska-Aziz constant for the linear triangular finite element. Zbl 1098.65107
Kikuchi, Fumio; Liu, Xuefeng
10
2006
Edge element computation of Maxwell’s eigenvalues on general quadrilateral meshes. Zbl 1097.65113
Boffi, Daniele; Kikuchi, Fumio; Schöberl, Joachim
9
2006
A numerical method for 3-D eddy current problems. Zbl 0983.78022
Kanayama, Hiroshi; Tagami, Daisuke; Saito, Masahiro; Kikuchi, Fumio
2
2001
Theoretical analysis of Nedelec’s edge elements. Zbl 0987.65113
Kikuchi, Fumio
2
2001
Interpolation error estimates of a modified 8-node serendipity finite element. Zbl 0970.65119
Zhang, Jing; Kikuchi, Fumio
6
2000
Theoretical aspects of Nedelec’s edge elements applied to eletromagnetic problems. Zbl 0993.78019
Kikuchi, Fumio
1
2000
An iterative approach for finite elements analyses of 3-D eddy current problems. Zbl 0968.78524
Kanayama, Hiroshi; Tagami, Daisuke; Saito, Masahiro; Kikuchi, Fumio
1
2000
Modification of the 8-node serendipity element. Zbl 0979.74067
Kikuchi, Fumio; Okabe, Masayuki; Fujio, Hidehiro
11
1999
An improved 4-node quadrilateral plate bending element of the Reissner-Mindlin type. Zbl 0962.74062
Kikuchi, F.; Ishii, K.
11
1999
3-D eddy current computation using the Nedelec elements. Zbl 1073.65561
Kanayama, Hiroshi; Kikuchi, Fumio
2
1999
An iteration method for finite element analysis of magnetostatic problems. Zbl 0835.65149
Kikuchi, Fumio; Fukuhara, Makoto
2
1995
Explicit expressions of shape functions for the modified 8-node serendipity element. Zbl 0809.73067
Kikuchi, Fumio
5
1994
An arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity. Zbl 0777.73077
Yamada, Takahiro; Kikuchi, Fumio
18
1993
A mixed finite element method for 3-D analysis of cavity resonators. Zbl 0790.65102
Kikuchi, Fumio; Hara, Masahiro; Wada, Takeshi
1
1992
A 9-node mixed shell element based on the Hu-Washizu principle. Zbl 0735.73083
Yamada, T.; Kikuchi, F.; Wada, A.
1
1991
Numerical analysis of electrostatic and magnetostatic fields. Zbl 0738.65091
Kikuchi, Fumio
2
1990
A mixed finite element method for large deformation analysis of incompressible hyperelastic materials. Zbl 0753.73076
Yamada, Takahiro; Kikuchi, Fumio
2
1990
Numerical analysis of electrostatic and magnetostatic problems. Zbl 0796.65140
Kikuchi, Fumio
2
1990
On a discrete compactness property for the Nedelec finite elements. Zbl 0698.65067
Kikuchi, Fumio
38
1989
Mixed formulations for finite element analysis of magnetostatic and electrostatic problems. Zbl 0679.65090
Kikuchi, Fumio
15
1989
Control of spurious modes in a 9-node shell element based on the assumed strain approach. Zbl 0724.73225
Yamada, Takahiro; Wada, Akira; Kikuchi, Fumio
1
1989
Weak formulations for finite element analysis of an eigenvalue problem. Zbl 0689.65079
Kikuchi, Fumio
1
1989
Finite element analysis of a nondifferentiable nonlinear problem related to MHD equilibria. Zbl 0652.76071
Kikuchi, Fumio
3
1988
Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism. Zbl 0644.65087
Kikuchi, Fumio
36
1987
An imbedding theorem for a Hilbert space appearing in electromagnetics. Zbl 0653.46026
Kaizu, Satoshi; Kikuchi, Fumio
2
1987
An isomorphic property of two Hilbert spaces appearing in electromagnetism: Analysis by the mixed formulation. Zbl 0613.46040
Kikuchi, Fumio
6
1986
An iteration method for the mixed formulation of parameter dependent problems related to the Stokes equations. Zbl 0628.76039
Kikuchi, F.; Navarro, M. P.
2
1986
Application of an iteration scheme to the analysis of incompressible or nearly incompressible media. Zbl 0632.76036
Kikuchi, Fumio
1
1986
An abstract analysis of parameter dependent problems and its applications to mixed finite element methods. Zbl 0596.65091
Kikuchi, Fumio
3
1985
Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria. Zbl 0634.76117
Kikuchi, Fumio; Nakazato, Kenji; Ushijima, Teruo
16
1984
Error analysis of flat plate element approximation of circular cylindrical shells. Zbl 0607.73084
Kikuchi, Fumio
4
1984
Accuracy and locking-free property of the beam element approximation for arch problems. Zbl 0558.73069
Kikuchi, Fumio; Tanizawa, Kazuo
4
1984
Locking phenomena in finite element analysis of large deflection problems. Zbl 0607.73074
Kikuchi, Fumio; Aizawa, Tatsuhiko
3
1984
Accuracy of some finite element models for arch problems. Zbl 0499.73068
Kikuchi, Fumio
18
1982
On finite element methods for convection dominated phenomena. Zbl 0476.65076
Kikuchi, F.; Ushijima, T.
7
1982
On the discrete Kirchhoff approach for plate bending problems. Zbl 0559.73076
Kikuchi, Fumio
1
1982
Finite element analysis of MHD equilibria. Zbl 0559.76108
Kikuchi, Fumio; Aizawa, Tatsuhiko
1
1981
Theoretical analysis of some finite element schemes for convective diffusion equations. Zbl 0456.76067
Kikuchi, F.; Ushijima, T.
3
1980
Finite element approximations to bifurcation problems of turning point type. Zbl 0416.65068
Kikuchi, F.
4
1979
Theory and examples of partial approximation in the finite element method. Zbl 0321.73056
Kikuchi, Fumio
3
1976
Notes on the lumped mass approximation for vibration problems. Zbl 0392.73078
Kikuchi, Fumio
2
1976
On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements. Zbl 0301.73023
Kikuchi, Fumio
12
1975
On a finite element scheme based on the discrete Kirchhoff assumption. Zbl 0295.73067
Kikuchi, Fumio
8
1975
On the validity of an approximation available in the finite element shell analysis. Zbl 0328.73056
Kikuchi, Fumio
3
1975
Convergence of the ACM finite element scheme for plate bending problems. Zbl 0326.73065
Kikuchi, Fumio
3
1975
A finite element method for non-self-adjoint problems. Zbl 0258.65109
Kikuchi, Fumio
3
1973
all top 5

Cited by 399 Authors

18 Kikuchi, Fumio
9 Liu, Xuefeng
8 Nakao, Mitsuhiro T.
8 Tsuchiya, Takuya
7 Watanabe, Yoshitaka
6 Boffi, Daniele
6 Demkowicz, Leszek F.
6 Kobayashi, Kenta
5 Bernadou, Michel
5 Christiansen, Snorre Harald
5 Trouvé, Pascal
4 Belytschko, Ted Bohdan
4 Hughes, Thomas J. R.
4 Kinoshita, Takehiko
4 Monk, Peter B.
4 Pasciak, Joseph E.
4 Raffetto, Mirco
4 Reddy, B. Dayanand
3 Barrett, John W.
3 Beirão da Veiga, Lourenço
3 Brezzi, Franco
3 Cancès, Eric
3 Cen, Song
3 Crisfield, Michael A.
3 Ducatel, Yves
3 Dusson, Geneviève
3 Fernandes, Paolo R.
3 Franca, Leopoldo Luis Cabo Penna
3 Gastaldi, Lucia
3 Huang, Hung-Tsai
3 Ishihara, Kazuo
3 Kanayama, Hiroshi
3 Koyama, Daisuke
3 Ledger, Paul David
3 Li, Zi-Cai
3 Loula, Abimael Fernando Dourado
3 Mackerle, Jaroslav
3 Maday, Yvon
3 Moita, Gray F.
3 Oishi, Shin’ichi
3 Stamm, Benjamin
3 Stolarski, Henryk K.
3 Sun, Jiguang
3 Vardapetyan, L. G.
3 Vohralík, Martin
3 Yamada, Takahiro
2 Aguiar, Adair Roberto
2 Arbenz, Peter
2 Arnold, Douglas Norman
2 Askes, Harm
2 Bermúdez, Alfredo
2 Bi, Hai
2 Bramble, James H.
2 Chen, Xiaojun
2 Chenais, Denise
2 Ciarlet, Patrick jun.
2 Clason, Christian
2 Creusé, Emmanuel
2 Dassi, Franco
2 Daveau, Christian
2 Di Pietro, Daniele Antonio
2 Du, Zhijie
2 Duan, Huoyuan
2 Falk, Richard S.
2 Fosdick, Roger L.
2 Fu, Xiangrong
2 Gopalakrishnan, Jayadeep
2 Guermond, Jean-Luc
2 Hu, Jun
2 Huang, Yunqing
2 Kuhl, Ellen
2 Li, Jichun
2 Marini, Luisa Donatella
2 Mefire, Séraphin M.
2 Ming, Pingbing
2 Nicaise, Serge
2 Niemi, Antti H.
2 Oikawa, Issei
2 Oñate Ibáñez de Navarra, Eugenio
2 Pitkäranta, Juhani
2 Ponthot, Jean-Philippe
2 Prohl, Andreas
2 Russo, Alessandro
2 Serrano, Hélia
2 Shi, Zhongci
2 Steinmann, Paul
2 Tagami, Daisuke
2 Ushijima, Teruo
2 Wriggers, Peter
2 Yan, Ningning
2 Yang, Yidu
2 You, Chunguang
2 Yu, Haixiong
2 Zaghdani, Abdelhamid
2 Zeng, Jinping
2 Zhang, Yu
2 Zhang, Zhimin
2 Zou, Jun
1 Ahmadian, Hossein
1 Ainsworth, Mark
...and 299 more Authors
all top 5

Cited in 65 Serials

49 Computer Methods in Applied Mechanics and Engineering
24 Numerische Mathematik
17 Japan Journal of Industrial and Applied Mathematics
16 Mathematics of Computation
14 International Journal for Numerical Methods in Engineering
10 Computational Mechanics
10 Journal of Scientific Computing
9 Journal of Computational and Applied Mathematics
8 SIAM Journal on Numerical Analysis
7 Applied Mathematics and Computation
7 Applied Numerical Mathematics
6 Journal of Computational Physics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 COMPEL
4 Engineering Computations
3 Computers & Mathematics with Applications
3 Japan Journal of Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applied Mathematical Modelling
3 Abstract and Applied Analysis
2 Mathematical Methods in the Applied Sciences
2 Calcolo
2 Journal of Differential Equations
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Communications in Numerical Methods in Engineering
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 International Journal for Numerical Methods in Fluids
1 International Journal of Solids and Structures
1 Inverse Problems
1 Aplikace Matematiky
1 BIT
1 Meccanica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Quaestiones Mathematicae
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Sugaku Expositions
1 Applications of Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Archive of Applied Mechanics
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Journal of Vibration and Control
1 Mathematics and Mechanics of Solids
1 Optimization Methods & Software
1 Archives of Computational Methods in Engineering
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Numerical Mathematics
1 International Journal of Computational Methods
1 Inverse Problems in Science and Engineering
1 Frontiers of Mathematics in China
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Set-Valued and Variational Analysis
1 Journal of Applied Mathematics & Informatics
1 Mathematical Control and Related Fields
1 JSIAM Letters

Citations by Year