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Author ID: falk.richard-s Recent zbMATH articles by "Falk, Richard S."
Published as: Falk, Richard S.; Falk, R. S.; Falk, Richard
Documents Indexed: 78 Publications since 1973
Co-Authors: 33 Co-Authors with 59 Joint Publications
834 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

71 Publications have been cited 2,616 times in 1,889 Documents Cited by Year
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
321
2006
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
204
2010
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
144
1973
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
137
1974
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
133
1989
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
129
2007
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
127
2014
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
99
2002
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
94
1980
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
90
2005
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
86
2000
Preconditioning in H \((\operatorname{div})\) and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
72
1997
Nonconforming finite element methods for the equations of linear elasticity. Zbl 0747.73044
Falk, Richard S.
68
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
66
1991
Stokes complexes and the construction of stable finite elements with pointwise mass conservation. Zbl 1268.76032
Falk, Richard S.; Neilan, Michael
61
2013
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
48
1988
Explicit finite element methods for symmetric hyperbolic equations. Zbl 0923.65065
Falk, Richard S.; Richter, Gerard R.
44
1998
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
42
1990
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
37
1996
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
34
2009
Approximation of the biharmonic equation by a mixed finite element method. Zbl 0383.65059
Falk, Richard S.
33
1978
Differential complexes and stability of finite element methods. I: The de Rham complex. Zbl 1119.65398
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
30
2006
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
28
2014
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
26
2007
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
25
1989
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
24
2000
Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083
Falk, Richard S.
24
1983
Equivalence of finite element methods for problems in elasticity. Zbl 0722.73068
Falk, Richard S.; Morley, Mary E.
23
1990
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
21
1987
An error estimate for the truncation method for the solution of parabolic obstacle variational inequalities. Zbl 0367.65056
Berger, Alan E.; Falk, Richard S.
21
1977
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
20
1997
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
20
2006
Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
20
2011
Logarithmic convexity for discrete harmonic functions and the approximation of the Cauchy problem for Poisson’s equation. Zbl 0623.65095
Falk, R. S.; Monk, P. B.
19
1986
Space-time finite element methods for surface diffusion with applications to the theory of the stability of cylinders. Zbl 0868.65069
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
17
1996
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Zbl 0869.73068
Arnold, Douglas N.; Falk, Richard S.
15
1997
Derivation and justification of plate models by variational methods. Zbl 0958.74033
Alessandrini, Stephen M.; Arnold, Douglas N.; Falk, Richard S.; Madureira, Alexandre L.
14
1999
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
14
2008
Analysis of a continuous finite element method for hyperbolic equations. Zbl 0619.65100
Falk, Richard S.; Richter, Gerard R.
13
1987
Finite element approximation on quadrilateral meshes. Zbl 0999.76073
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.; Gastaldi, Lucia
13
2001
Numerical approximation of a Cauchy problem for a parabolic partial differential equation. Zbl 0439.65093
Ewing, Richard E.; Falk, Richard S.
11
1979
Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
11
2008
A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085
Falk, Richard S.
10
2008
A penalty and extrapolation method for the stationary Stokes equations. Zbl 0345.65061
Falk, Richard S.; King, J. Thomas
9
1976
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
9
1995
Error estimates for elastic-plastic problems. Zbl 0357.73062
Falk, Richard S.; Mercier, Bertrand
9
1977
Convergence of a second-order scheme for the nonlinear dynamical equations of elastic rods. Zbl 0832.73080
Falk, Richard S.; Xu, Jian-Ming
8
1995
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
8
2012
An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations. Zbl 0351.65028
Falk, Richard S.
7
1976
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
7
1998
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
6
1983
Local error estimates for a finite element method for hyperbolic and convection-diffusion equations. Zbl 0757.65104
Falk, Richard S.; Richter, Gerard R.
5
1992
\(C^m\) eigenfunctions of Perron-Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in \(\mathbb R^1\). Zbl 1436.37031
Falk, Richard S.; Nussbaum, Roger D.
5
2018
Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108
Falk, Richard S.; Osborn, John E.
5
1994
A mixed finite element method for EWOD that directly computes the position of the moving interface. Zbl 1268.76063
Falk, Richard S.; Walker, Shawn W.
5
2013
A finite element method for the stationary Stokes equations using trial functions which do not have to satisfy div v=0. Zbl 0368.35026
Falk, Richard S.
5
1976
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
5
2015
Similarity solutions in the theory of curvature driven diffusion along planar curves. I: Symmetric curves expanding in time. Zbl 0934.65111
Asvadurov, Sergey; Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
4
1998
Explicit finite element methods for linear hyperbolic systems. Zbl 0946.65082
Falk, Richard S.; Richter, Gerard R.
4
2000
Approximation of an elliptic boundary value problem with unilateral constraints. Zbl 0316.65024
Falk, Richard S.
4
1975
Analysis of a one-dimensional variational model of the equilibrium shape of a deformable crystal. Zbl 0958.74022
Bonnetier, Eric; Falk, Richard S.; Grinfeld, Michael A.
3
1999
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
3
2016
Estimation d’erreur en elastoplasticite. Zbl 0329.73031
Falk, Richard; Mercier, Bertrand
3
1976
A new approach to numerical computation of Hausdorff dimension of iterated function systems: applications to complex continued fractions. Zbl 1441.11187
Falk, Richard S.; Nussbaum, Roger D.
2
2018
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
2
1985
Analysis of finite element methods for linear hyperbolic problems. Zbl 0946.65081
Falk, Richard S.
2
2000
On the consistency of the combinatorial codifferential. Zbl 1298.58003
Arnold, Douglas N.; Falk, Richard S.; Guzmán, Johnny; Tsogtgerel, Gantumur
2
2014
Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066
Ewing, Richard; Lin, Tao; Falk, Richard
2
1987
A Ritz method based on a complementary variational principle. Zbl 0363.65084
Falk, Richard S.
2
1976
The approximation of hyperbolic and convection-diffusion equations by explicit finite element methods. Zbl 0771.65069
Falk, Richard S.; Richter, Gerard R.
1
1991
Error estimates for the approximate identification of a constant coefficient from boundary flux data. Zbl 0439.65071
Falk, Richard S.
1
1980
\(C^m\) eigenfunctions of Perron-Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in \(\mathbb R^1\). Zbl 1436.37031
Falk, Richard S.; Nussbaum, Roger D.
5
2018
A new approach to numerical computation of Hausdorff dimension of iterated function systems: applications to complex continued fractions. Zbl 1441.11187
Falk, Richard S.; Nussbaum, Roger D.
2
2018
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
3
2016
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
5
2015
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
127
2014
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
28
2014
On the consistency of the combinatorial codifferential. Zbl 1298.58003
Arnold, Douglas N.; Falk, Richard S.; Guzmán, Johnny; Tsogtgerel, Gantumur
2
2014
Stokes complexes and the construction of stable finite elements with pointwise mass conservation. Zbl 1268.76032
Falk, Richard S.; Neilan, Michael
61
2013
A mixed finite element method for EWOD that directly computes the position of the moving interface. Zbl 1268.76063
Falk, Richard S.; Walker, Shawn W.
5
2013
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
8
2012
Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
20
2011
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
204
2010
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
34
2009
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
14
2008
Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
11
2008
A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085
Falk, Richard S.
10
2008
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
129
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
26
2007
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
321
2006
Differential complexes and stability of finite element methods. I: The de Rham complex. Zbl 1119.65398
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
30
2006
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
20
2006
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
90
2005
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
99
2002
Finite element approximation on quadrilateral meshes. Zbl 0999.76073
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.; Gastaldi, Lucia
13
2001
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
86
2000
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
24
2000
Explicit finite element methods for linear hyperbolic systems. Zbl 0946.65082
Falk, Richard S.; Richter, Gerard R.
4
2000
Analysis of finite element methods for linear hyperbolic problems. Zbl 0946.65081
Falk, Richard S.
2
2000
Derivation and justification of plate models by variational methods. Zbl 0958.74033
Alessandrini, Stephen M.; Arnold, Douglas N.; Falk, Richard S.; Madureira, Alexandre L.
14
1999
Analysis of a one-dimensional variational model of the equilibrium shape of a deformable crystal. Zbl 0958.74022
Bonnetier, Eric; Falk, Richard S.; Grinfeld, Michael A.
3
1999
Explicit finite element methods for symmetric hyperbolic equations. Zbl 0923.65065
Falk, Richard S.; Richter, Gerard R.
44
1998
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
7
1998
Similarity solutions in the theory of curvature driven diffusion along planar curves. I: Symmetric curves expanding in time. Zbl 0934.65111
Asvadurov, Sergey; Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
4
1998
Preconditioning in H \((\operatorname{div})\) and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
72
1997
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
20
1997
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Zbl 0869.73068
Arnold, Douglas N.; Falk, Richard S.
15
1997
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
37
1996
Space-time finite element methods for surface diffusion with applications to the theory of the stability of cylinders. Zbl 0868.65069
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
17
1996
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
9
1995
Convergence of a second-order scheme for the nonlinear dynamical equations of elastic rods. Zbl 0832.73080
Falk, Richard S.; Xu, Jian-Ming
8
1995
Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108
Falk, Richard S.; Osborn, John E.
5
1994
Local error estimates for a finite element method for hyperbolic and convection-diffusion equations. Zbl 0757.65104
Falk, Richard S.; Richter, Gerard R.
5
1992
Nonconforming finite element methods for the equations of linear elasticity. Zbl 0747.73044
Falk, Richard S.
68
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
66
1991
The approximation of hyperbolic and convection-diffusion equations by explicit finite element methods. Zbl 0771.65069
Falk, Richard S.; Richter, Gerard R.
1
1991
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
42
1990
Equivalence of finite element methods for problems in elasticity. Zbl 0722.73068
Falk, Richard S.; Morley, Mary E.
23
1990
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
133
1989
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
25
1989
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
48
1988
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
21
1987
Analysis of a continuous finite element method for hyperbolic equations. Zbl 0619.65100
Falk, Richard S.; Richter, Gerard R.
13
1987
Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066
Ewing, Richard; Lin, Tao; Falk, Richard
2
1987
Logarithmic convexity for discrete harmonic functions and the approximation of the Cauchy problem for Poisson’s equation. Zbl 0623.65095
Falk, R. S.; Monk, P. B.
19
1986
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
2
1985
Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083
Falk, Richard S.
24
1983
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
6
1983
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
94
1980
Error estimates for the approximate identification of a constant coefficient from boundary flux data. Zbl 0439.65071
Falk, Richard S.
1
1980
Numerical approximation of a Cauchy problem for a parabolic partial differential equation. Zbl 0439.65093
Ewing, Richard E.; Falk, Richard S.
11
1979
Approximation of the biharmonic equation by a mixed finite element method. Zbl 0383.65059
Falk, Richard S.
33
1978
An error estimate for the truncation method for the solution of parabolic obstacle variational inequalities. Zbl 0367.65056
Berger, Alan E.; Falk, Richard S.
21
1977
Error estimates for elastic-plastic problems. Zbl 0357.73062
Falk, Richard S.; Mercier, Bertrand
9
1977
A penalty and extrapolation method for the stationary Stokes equations. Zbl 0345.65061
Falk, Richard S.; King, J. Thomas
9
1976
An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations. Zbl 0351.65028
Falk, Richard S.
7
1976
A finite element method for the stationary Stokes equations using trial functions which do not have to satisfy div v=0. Zbl 0368.35026
Falk, Richard S.
5
1976
Estimation d’erreur en elastoplasticite. Zbl 0329.73031
Falk, Richard; Mercier, Bertrand
3
1976
A Ritz method based on a complementary variational principle. Zbl 0363.65084
Falk, Richard S.
2
1976
Approximation of an elliptic boundary value problem with unilateral constraints. Zbl 0316.65024
Falk, Richard S.
4
1975
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
137
1974
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
144
1973
all top 5

Cited by 2,012 Authors

34 Beirão da Veiga, Lourenço
30 Gatica, Gabriel N.
28 Zhang, Shangyou
27 Carstensen, Carsten
25 Winther, Ragnar
23 Arnold, Douglas Norman
22 Chen, Yanping
22 Falk, Richard S.
21 Xu, Jinchao
20 Brezzi, Franco
20 Lu, Zuliang
19 Hiptmair, Ralf
19 Hu, Jun
19 Meddahi, Salim
18 Lovadina, Carlo
18 Schöberl, Joachim
17 Duan, Huoyuan
17 Gudi, Thirupathi
17 Guzmán, Johnny
17 Ye, Xiu
16 Brenner, Susanne Cecelia
15 Boffi, Daniele
15 Chen, Long
15 Manzini, Gianmarco
15 Yan, Ningning
15 Zikatanov, Ludmil T.
14 Antonietti, Paola Francesca
14 Chen, Shaochun
14 Christiansen, Snorre Harald
14 Dassi, Franco
14 Mora, David
14 Shi, Dongyang
14 Stenberg, Rolf
14 Wang, Junping
13 Huang, Xuehai
13 Marini, Luisa Donatella
13 Shi, Zhongci
12 Gerritsma, Marc I.
12 Hu, Kaibo
12 Lee, Jeonghun J.
12 Neilan, Michael
12 Zhang, Shuo
11 Feng, Minfu
11 Marquez-Duran, Antonio M.
11 Mu, Lin
11 Qiu, Weifeng
11 Sequeira, Filánder A.
11 Vassilevski, Panayot Spirov
11 Xie, Xiaoping
10 Burman, Erik
10 Demkowicz, Leszek F.
10 Hughes, Thomas J. R.
10 Lamichhane, Bishnu Prasad
10 Novo, Julia
10 Rebholz, Leo G.
10 Rösch, Arnd
10 Russo, Alessandro
10 Stephan, Ernst Peter
10 Vacca, Giuseppe
10 Verani, Marco
10 Yotov, Ivan
10 Zhang, Zhimin
9 Bochev, Pavel B.
9 Cockburn, Bernardo
9 Devloo, Philippe Remy Bernard
9 Gillette, Andrew
9 Kwak, Do Young
9 Linke, Alexander
9 Liu, Steve Wenbin
9 Palha, Artur
9 Rapetti, Francesca
9 Rodríguez, Rodolfo
9 Ruiz-Baier, Ricardo
9 Sonnendrücker, Eric
8 Abdulla, Ugur G.
8 Ainsworth, Mark
8 Bramble, James H.
8 Campos Pinto, Martin
8 Di Pietro, Daniele Antonio
8 Droniou, Jérôme
8 Ern, Alexandre
8 Gastaldi, Lucia
8 Gomes, Sônia Maria
8 Gopalakrishnan, Jay
8 Guan, Hongbo
8 Han, Weimin
8 Hu, Xiaozhe
8 Huang, Jianguo
8 Kirby, Robert C.
8 Mao, Shipeng
8 Mardal, Kent-Andre
8 Park, Eun-Jae
8 Repin, Sergeĭ Igorevich
8 Schwab, Christoph
8 Zhao, Jikun
7 Barrett, John W.
7 Buffa, Annalisa
7 Cai, Zhiqiang
7 Calo, Victor Manuel
7 Chen, Zhangxin
...and 1,912 more Authors
all top 5

Cited in 201 Serials

183 Computer Methods in Applied Mechanics and Engineering
121 Mathematics of Computation
120 Numerische Mathematik
105 Computers & Mathematics with Applications
104 Journal of Computational and Applied Mathematics
90 Journal of Computational Physics
89 Journal of Scientific Computing
67 SIAM Journal on Numerical Analysis
65 Applied Numerical Mathematics
45 SIAM Journal on Scientific Computing
44 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
41 Applied Mathematics and Computation
41 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
35 Calcolo
31 Numerical Methods for Partial Differential Equations
26 Computational Methods in Applied Mathematics
22 Advances in Computational Mathematics
19 RAIRO. Modélisation Mathématique et Analyse Numérique
18 International Journal for Numerical Methods in Engineering
17 Science China. Mathematics
16 Applied Mathematics Letters
15 BIT
14 Journal of Mathematical Analysis and Applications
14 Numerical Functional Analysis and Optimization
14 Numerical Linear Algebra with Applications
13 International Journal of Numerical Analysis and Modeling
12 Numerical Algorithms
12 Foundations of Computational Mathematics
12 Journal of Numerical Mathematics
11 Computational Mechanics
11 Computational Geosciences
9 International Journal of Computer Mathematics
9 Computational Optimization and Applications
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Advances in Applied Mathematics and Mechanics
9 SMAI Journal of Computational Mathematics
8 Computers and Fluids
8 Aplikace Matematiky
8 Journal of Elasticity
8 Communications in Numerical Methods in Engineering
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 RAIRO. Analyse Numérique
7 Applications of Mathematics
6 Applied Mathematics and Optimization
6 Mathematics and Computers in Simulation
6 Boundary Value Problems
5 Acta Mechanica
5 Archive for Rational Mechanics and Analysis
5 Inverse Problems
5 Mathematical Methods in the Applied Sciences
5 Physica D
5 Applied Mathematical Modelling
5 Applied Mathematics. Series B (English Edition)
5 Journal of Mathematical Sciences (New York)
5 Engineering Analysis with Boundary Elements
5 Journal of Inequalities and Applications
5 European Journal of Mechanics. A. Solids
4 International Journal for Numerical Methods in Fluids
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 SIAM Journal on Control and Optimization
4 Applied Mathematics and Mechanics. (English Edition)
4 Mathematical Problems in Engineering
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Frontiers of Mathematics in China
4 Communications in Computational Physics
4 Nonlinear Analysis. Theory, Methods & Applications
3 Applicable Analysis
3 International Journal of Engineering Science
3 Computing
3 Acta Applicandae Mathematicae
3 Computational Mathematics and Modeling
3 SIAM Review
3 Bulletin of the American Mathematical Society. New Series
3 Russian Mathematics
3 Computational and Applied Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Abstract and Applied Analysis
3 Lobachevskii Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Systems Science and Complexity
3 Acta Numerica
3 Discrete and Continuous Dynamical Systems. Series S
3 GEM - International Journal on Geomathematics
3 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
3 Communications in Mathematics and Statistics
3 East Asian Journal on Applied Mathematics
3 Electronic Research Archive
2 Journal of Mathematical Physics
2 Journal of the Mechanics and Physics of Solids
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 The Annals of Statistics
2 Automatica
2 Journal of Optimization Theory and Applications
2 Kybernetika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the American Mathematical Society
2 Computer Aided Geometric Design
2 ACM Transactions on Graphics
2 Constructive Approximation
2 Discrete & Computational Geometry
...and 101 more Serials
all top 5

Cited in 50 Fields

1,512 Numerical analysis (65-XX)
691 Partial differential equations (35-XX)
533 Mechanics of deformable solids (74-XX)
416 Fluid mechanics (76-XX)
234 Calculus of variations and optimal control; optimization (49-XX)
97 Optics, electromagnetic theory (78-XX)
69 Global analysis, analysis on manifolds (58-XX)
26 Approximations and expansions (41-XX)
25 Operator theory (47-XX)
23 Geophysics (86-XX)
22 Systems theory; control (93-XX)
19 Potential theory (31-XX)
19 Differential geometry (53-XX)
19 Computer science (68-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Dynamical systems and ergodic theory (37-XX)
13 Functional analysis (46-XX)
13 Biology and other natural sciences (92-XX)
11 Operations research, mathematical programming (90-XX)
9 Ordinary differential equations (34-XX)
8 Probability theory and stochastic processes (60-XX)
8 Statistics (62-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Integral equations (45-XX)
7 Mechanics of particles and systems (70-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Measure and integration (28-XX)
6 Quantum theory (81-XX)
5 Combinatorics (05-XX)
5 Algebraic geometry (14-XX)
5 Real functions (26-XX)
4 General and overarching topics; collections (00-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Algebraic topology (55-XX)
3 Number theory (11-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Information and communication theory, circuits (94-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year