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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

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 3,214 times in 2,276 Documents Cited by Year
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
426
2006
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
259
2010
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
176
2014
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
162
2007
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
156
1973
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
151
1974
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
143
1989
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
117
2000
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
116
2002
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
112
2005
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
102
1980
Stokes complexes and the construction of stable finite elements with pointwise mass conservation. Zbl 1268.76032
Falk, Richard S.; Neilan, Michael
98
2013
Preconditioning in H \((\operatorname{div})\) and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
93
1997
Nonconforming finite element methods for the equations of linear elasticity. Zbl 0747.73044
Falk, Richard S.
81
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
78
1991
Explicit finite element methods for symmetric hyperbolic equations. Zbl 0923.65065
Falk, Richard S.; Richter, Gerard R.
52
1998
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
49
1988
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
47
1990
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
44
2009
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
40
1996
Differential complexes and stability of finite element methods. I: The de Rham complex. Zbl 1119.65398
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
38
2006
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
38
2014
Approximation of the biharmonic equation by a mixed finite element method. Zbl 0383.65059
Falk, Richard S.
38
1978
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
35
1989
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
32
2006
Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
29
2011
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
29
2007
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
26
2000
Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083
Falk, Richard S.
25
1983
Equivalence of finite element methods for problems in elasticity. Zbl 0722.73068
Falk, Richard S.; Morley, Mary E.
25
1990
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
23
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.
22
1986
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
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
19
1996
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
19
2008
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
18
2012
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Zbl 0869.73068
Arnold, Douglas N.; Falk, Richard S.
17
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 elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
14
2008
Error estimates for elastic-plastic problems. Zbl 0357.73062
Falk, Richard S.; Mercier, Bertrand
14
1977
Finite element approximation on quadrilateral meshes. Zbl 0999.76073
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.; Gastaldi, Lucia
13
2001
Analysis of a continuous finite element method for hyperbolic equations. Zbl 0619.65100
Falk, Richard S.; Richter, Gerard R.
13
1987
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
12
1995
Numerical approximation of a Cauchy problem for a parabolic partial differential equation. Zbl 0439.65093
Ewing, Richard E.; Falk, Richard S.
11
1979
A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085
Falk, Richard S.
10
2008
\(C^m\) 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.
10
2018
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
9
1998
A penalty and extrapolation method for the stationary Stokes equations. Zbl 0345.65061
Falk, Richard S.; King, J. Thomas
9
1976
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
An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations. Zbl 0351.65028
Falk, Richard S.
8
1976
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
8
2015
Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066
Ewing, Richard; Lin, Tao; Falk, Richard
7
1987
Local error estimates for a finite element method for hyperbolic and convection-diffusion equations. Zbl 0757.65104
Falk, Richard S.; Richter, Gerard R.
7
1992
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
7
1983
Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108
Falk, Richard S.; Osborn, John E.
6
1994
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
6
2016
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.
6
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.
5
2018
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
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
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
4
1985
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
Approximation of inverse problems. Zbl 0706.65124
Falk, Richard S.
3
1990
Estimation d’erreur en elastoplasticite. Zbl 0329.73031
Falk, Richard; Mercier, Bertrand
3
1976
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
A Ritz method based on a complementary variational principle. Zbl 0363.65084
Falk, Richard S.
2
1976
Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods. Zbl 1505.11104
Falk, Richard S.; Nussbaum, Roger D.
2
2022
Diffusion in axially symmetric surfaces. Zbl 0862.73008
Coleman, B. D.; Falk, R. S.; Moakher, M.
1
1995
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
Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods. Zbl 1505.11104
Falk, Richard S.; Nussbaum, Roger D.
2
2022
\(C^m\) 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.
10
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.
5
2018
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
6
2016
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
8
2015
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
176
2014
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
38
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
98
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
18
2012
Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
29
2011
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
259
2010
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
44
2009
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
19
2008
Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
14
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
162
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
29
2007
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
426
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
38
2006
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
32
2006
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
112
2005
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
116
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
117
2000
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
26
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.
52
1998
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
9
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.
93
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.
17
1997
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
40
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
19
1996
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
12
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
Diffusion in axially symmetric surfaces. Zbl 0862.73008
Coleman, B. D.; Falk, R. S.; Moakher, M.
1
1995
Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108
Falk, Richard S.; Osborn, John E.
6
1994
Local error estimates for a finite element method for hyperbolic and convection-diffusion equations. Zbl 0757.65104
Falk, Richard S.; Richter, Gerard R.
7
1992
Nonconforming finite element methods for the equations of linear elasticity. Zbl 0747.73044
Falk, Richard S.
81
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
78
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.
47
1990
Equivalence of finite element methods for problems in elasticity. Zbl 0722.73068
Falk, Richard S.; Morley, Mary E.
25
1990
Approximation of inverse problems. Zbl 0706.65124
Falk, Richard S.
3
1990
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
143
1989
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
35
1989
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
49
1988
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
23
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
7
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.
22
1986
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
4
1985
Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083
Falk, Richard S.
25
1983
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
7
1983
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
102
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.
38
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
14
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.
8
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.
6
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.
151
1974
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
156
1973
all top 5

Cited by 2,390 Authors

38 Beirão da Veiga, Lourenço
38 Zhang, Shangyou
35 Gatica, Gabriel N.
29 Carstensen, Carsten
27 Winther, Ragnar
26 Hu, Jun
25 Falk, Richard S.
24 Arnold, Douglas Norman
24 Meddahi, Salim
23 Chen, Yanping
22 Brezzi, Franco
22 Chen, Long
22 Schöberl, Joachim
22 Xu, Jinchao
21 Duan, Huoyuan
21 Gudi, Thirupathi
21 Guzmán, Johnny
21 Huang, Xuehai
21 Lu, Zuliang
20 Manzini, Gianmarco
19 Gopalakrishnan, Jay
19 Lovadina, Carlo
19 Ye, Xiu
18 Hu, Kaibo
17 Brenner, Susanne Cecelia
17 Dassi, Franco
17 Gerritsma, Marc I.
17 Hiptmair, Ralf
16 Boffi, Daniele
16 Christiansen, Snorre Harald
16 Feng, Minfu
16 Mora, David
16 Neilan, Michael
16 Ruiz-Baier, Ricardo
16 Shi, Dongyang
16 Stenberg, Rolf
15 Antonietti, Paola Francesca
15 Chen, Shaochun
15 Marini, Luisa Donatella
15 Rapetti, Francesca
15 Yan, Ningning
14 Demkowicz, Leszek F.
14 Wang, Junping
14 Yotov, Ivan
13 Devloo, Philippe Remy Bernard
13 Hu, Xiaozhe
13 Lee, Jeonghun J.
13 Mu, Lin
13 Novo, Julia
13 Shi, Zhongci
13 Xie, Xiaoping
13 Zhang, Shuo
13 Zhao, Jikun
12 Gomes, Sônia Maria
12 Hughes, Thomas J. R.
12 Kirby, Robert C.
12 Kwak, Do Young
12 Marquez-Duran, Antonio M.
12 Qiu, Weifeng
12 Russo, Alessandro
12 Vacca, Giuseppe
12 Vassilevski, Panayot Spirov
12 Zhang, Zhimin
11 Cockburn, Bernardo
11 Di Pietro, Daniele Antonio
11 Droniou, Jérôme
11 Fumagalli, Alessio
11 Lamichhane, Bishnu Prasad
11 Mardal, Kent-Andre
11 Palha, Artur
11 Park, Eun-Jae
11 Porwal, Kamana
11 Rösch, Arnd
11 Sequeira, Filánder A.
11 Sonnendrücker, Eric
11 Stephan, Ernst Peter
11 Verani, Marco
10 Ainsworth, Mark
10 Burman, Erik
10 Campos Pinto, Martin
10 Chen, Zhangxin
10 Ern, Alexandre
10 Gillette, Andrew
10 Linke, Alexander
10 Liu, Xin
10 Rebholz, Leo Gregory
10 Schwab, Christoph
10 Zikatanov, Ludmil T.
9 Alonso Rodríguez, Ana
9 Bochev, Pavel B.
9 Gastaldi, Lucia
9 Guan, Hongbo
9 Han, Weimin
9 Huang, Jianguo
9 Kraus, Johannes K.
9 Lederer, Philip Lukas
9 Liu, Jiangguo
9 Liu, Steve Wenbin
9 Merdon, Christian
9 Repin, Sergeĭ Igorevich
...and 2,290 more Authors
all top 5

Cited in 223 Serials

218 Computer Methods in Applied Mechanics and Engineering
146 Computers & Mathematics with Applications
135 Mathematics of Computation
126 Numerische Mathematik
118 Journal of Computational Physics
117 Journal of Computational and Applied Mathematics
116 Journal of Scientific Computing
84 SIAM Journal on Numerical Analysis
70 Applied Numerical Mathematics
61 SIAM Journal on Scientific Computing
54 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
47 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
45 Applied Mathematics and Computation
42 Numerical Methods for Partial Differential Equations
40 Calcolo
31 Advances in Computational Mathematics
28 Computational Methods in Applied Mathematics
23 International Journal for Numerical Methods in Engineering
19 RAIRO. Modélisation Mathématique et Analyse Numérique
19 Numerical Algorithms
19 Science China. Mathematics
17 BIT
17 Applied Mathematics Letters
16 Journal of Numerical Mathematics
16 International Journal of Numerical Analysis and Modeling
14 Journal of Mathematical Analysis and Applications
14 Numerical Functional Analysis and Optimization
14 Numerical Linear Algebra with Applications
14 Foundations of Computational Mathematics
12 Computational Mechanics
12 SMAI Journal of Computational Mathematics
11 Mathematics and Computers in Simulation
11 International Journal of Computer Mathematics
11 Computational Geosciences
9 Computers and Fluids
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Advances in Applied Mathematics and Mechanics
8 Aplikace Matematiky
8 Journal of Elasticity
8 Computational Optimization and Applications
8 Communications in Numerical Methods in Engineering
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 Mathematical Methods in the Applied Sciences
7 Applied Mathematics and Optimization
7 RAIRO. Analyse Numérique
7 SIAM Journal on Control and Optimization
7 Applications of Mathematics
7 Acta Numerica
7 Boundary Value Problems
6 Journal of Mathematical Sciences (New York)
6 Journal of Inequalities and Applications
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 European Journal of Mechanics. A. Solids
5 Acta Mechanica
5 Archive for Rational Mechanics and Analysis
5 International Journal of Engineering Science
5 Inverse Problems
5 Physica D
5 Applied Mathematical Modelling
5 Applied Mathematics. Series B (English Edition)
5 Engineering Analysis with Boundary Elements
5 Communications in Computational Physics
5 Nonlinear Analysis. Theory, Methods & Applications
5 Communications on Applied Mathematics and Computation
4 Computer Physics Communications
4 International Journal for Numerical Methods in Fluids
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Mechanics. (English Edition)
4 Computational and Applied Mathematics
4 Mathematical Problems in Engineering
4 Oberwolfach Reports
4 Frontiers of Mathematics in China
4 East Asian Journal on Applied Mathematics
3 Applicable Analysis
3 ACM Transactions on Mathematical Software
3 Computing
3 Transactions of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Journal of Computational Mathematics
3 SIAM Journal on Matrix Analysis and Applications
3 Computational Mathematics and Modeling
3 Japan Journal of Industrial and Applied Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIAM Review
3 Bulletin of the American Mathematical Society. New Series
3 Russian Mathematics
3 Mathematics and Mechanics of Solids
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Abstract and Applied Analysis
3 Taiwanese Journal of Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Lobachevskii Journal of Mathematics
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Systems Science and Complexity
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 Electronic Research Archive
...and 123 more Serials
all top 5

Cited in 52 Fields

1,856 Numerical analysis (65-XX)
851 Partial differential equations (35-XX)
633 Mechanics of deformable solids (74-XX)
565 Fluid mechanics (76-XX)
264 Calculus of variations and optimal control; optimization (49-XX)
122 Optics, electromagnetic theory (78-XX)
98 Global analysis, analysis on manifolds (58-XX)
33 Operator theory (47-XX)
31 Approximations and expansions (41-XX)
28 Geophysics (86-XX)
24 Differential geometry (53-XX)
24 Statistical mechanics, structure of matter (82-XX)
22 Potential theory (31-XX)
22 Computer science (68-XX)
22 Systems theory; control (93-XX)
21 Dynamical systems and ergodic theory (37-XX)
16 Functional analysis (46-XX)
16 Biology and other natural sciences (92-XX)
14 Operations research, mathematical programming (90-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Integral equations (45-XX)
10 Measure and integration (28-XX)
10 Probability theory and stochastic processes (60-XX)
10 Mechanics of particles and systems (70-XX)
8 Number theory (11-XX)
8 Ordinary differential equations (34-XX)
8 Statistics (62-XX)
7 General and overarching topics; collections (00-XX)
7 Algebraic geometry (14-XX)
7 Real functions (26-XX)
7 Quantum theory (81-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Convex and discrete geometry (52-XX)
6 Algebraic topology (55-XX)
6 Relativity and gravitational theory (83-XX)
5 Combinatorics (05-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Difference and functional equations (39-XX)
4 Manifolds and cell complexes (57-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Category theory; homological algebra (18-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Mathematics education (97-XX)

Citations by Year