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Falk, Richard S.

Co-Author Distance
Author ID: falk.richard-s Recent zbMATH articles by "Falk, Richard S."
Published as: Falk, Richard S.; Falk, R. S.; Falk, Richard
Documents Indexed: 83 Publications since 1973, including 2 Additional arXiv Preprints
Co-Authors: 33 Co-Authors with 64 Joint Publications
947 Co-Co-Authors
all top 5

Co-Authors

17 single-authored
24 Arnold, Douglas Norman
16 Winther, Ragnar
6 Richter, Gerard R.
4 Coleman, Bernard David
4 Moakher, Maher
4 Nussbaum, Roger David
3 Boffi, Daniele
3 Brezzi, Franco
2 Bramble, James H.
2 Ewing, Richard Edward
2 Madureira, Alexandre L.
2 Marini, Luisa Donatella
2 Mercier, Bertrand
2 Monk, Peter B.
2 Osborn, John E.
1 Alessandrini, Stephan M.
1 Alessandrini, Stephen M.
1 Asvadurov, Sergey
1 Berger, Alan E.
1 Bonnetier, Eric
1 Crouzeix, Michel
1 Gastaldi, Lucia
1 Gatto, Paolo
1 Gopalakrishnan, Jay
1 Grinfeld, Michael A.
1 Guzmán, Johnny
1 King, John-Thomas
1 Lin, Tao
1 Morley, Mary E.
1 Neilan, Michael
1 Tsogtgerel, Gantumur
1 Tu, Tong
1 Walker, Shawn W.
all top 5

Serials

16 Mathematics of Computation
12 SIAM Journal on Numerical Analysis
3 RAIRO. Analyse Numérique
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Numerische Mathematik
2 Physica D
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Foundations of Computational Mathematics
2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
2 Journal of Fractal Geometry
1 Archive for Rational Mechanics and Analysis
1 Journal of Mathematical Analysis and Applications
1 Integral Equations and Operator Theory
1 Numerical Functional Analysis and Optimization
1 Transactions of the American Mathematical Society
1 Numerical Methods for Partial Differential Equations
1 Bulletin of the American Mathematical Society. New Series
1 SIAM Journal on Scientific Computing
1 Communications in Numerical Methods in Engineering
1 Computational and Applied Mathematics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Acta Numerica
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
all top 5

Fields

65 Numerical analysis (65-XX)
39 Partial differential equations (35-XX)
26 Mechanics of deformable solids (74-XX)
10 Fluid mechanics (76-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Approximations and expansions (41-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Number theory (11-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Potential theory (31-XX)
3 Systems theory; control (93-XX)
2 Convex and discrete geometry (52-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistical mechanics, structure of matter (82-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

75 Publications have been cited 3,412 times in 2,411 Documents Cited by ▼ Year ▼
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
449
2006
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
277
2010
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
198
2014
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
171
2007
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
165
1973
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
159
1974
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
144
1989
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
133
2000
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
119
2005
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
116
2002
Stokes complexes and the construction of stable finite elements with pointwise mass conservation. Zbl 1268.76032
Falk, Richard S.; Neilan, Michael
109
2013
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
106
1980
Preconditioning in H \((\operatorname{div})\) and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
103
1997
Nonconforming finite element methods for the equations of linear elasticity. Zbl 0747.73044
Falk, Richard S.
88
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
81
1991
Explicit finite element methods for symmetric hyperbolic equations. Zbl 0923.65065
Falk, Richard S.; Richter, Gerard R.
55
1998
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
52
2009
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
47
1990
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
45
1988
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
40
2006
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
40
2006
Approximation of the biharmonic equation by a mixed finite element method. Zbl 0383.65059
Falk, Richard S.
39
1978
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
38
2014
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
37
1989
Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
31
2011
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
30
2007
Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083
Falk, Richard S.
27
1983
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
27
2000
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.
25
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.
24
1986
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
22
1997
An error estimate for the truncation method for the solution of parabolic obstacle variational inequalities. Zbl 0367.65056
Berger, Alan E.; Falk, Richard S.
22
1977
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
21
2008
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
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
19
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
Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
17
2008
Derivation and justification of plate models by variational methods. Zbl 0958.74033
Alessandrini, Stephen M.; Arnold, Douglas N.; Falk, Richard S.; Madureira, Alexandre L.
15
1999
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
A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085
Falk, Richard S.
13
2008
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
12
1998
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
\(C^m\) 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
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
9
1983
A penalty and extrapolation method for the stationary Stokes equations. Zbl 0345.65061
Falk, Richard S.; King, J. Thomas
9
1976
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
8
2015
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
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
Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066
Ewing, Richard; Lin, Tao; Falk, Richard
7
1987
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
Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108
Falk, Richard S.; Osborn, John E.
6
1994
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.
6
2018
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
6
2016
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
Explicit finite element methods for linear hyperbolic systems. Zbl 0946.65082
Falk, Richard S.; Richter, Gerard R.
4
2000
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
4
1985
Approximation of an elliptic boundary value problem with unilateral constraints. Zbl 0316.65024
Falk, Richard S.
4
1975
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
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 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
A Ritz method based on a complementary variational principle. Zbl 0363.65084
Falk, Richard S.
2
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
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
The approximation of hyperbolic and convection-diffusion equations by explicit finite element methods. Zbl 0771.65069
Falk, Richard S.; Richter, Gerard R.
1
1991
Diffusion in axially symmetric surfaces. Zbl 0862.73008
Coleman, B. D.; Falk, R. S.; Moakher, M.
1
1995
Error estimates for the approximate identification of a constant coefficient from boundary flux data. Zbl 0439.65071
Falk, Richard S.
1
1980
The bubble transform and the de Rham complex. Zbl 1533.65223
Falk, Richard S.; Winther, Ragnar
1
2024
The bubble transform and the de Rham complex. Zbl 1533.65223
Falk, Richard S.; Winther, Ragnar
1
2024
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.
6
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
198
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
109
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
19
2012
Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
31
2011
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
277
2010
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
52
2009
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
21
2008
Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
17
2008
A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085
Falk, Richard S.
13
2008
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
171
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
30
2007
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
449
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
40
2006
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
40
2006
Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
119
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
133
2000
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
27
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.
15
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.
55
1998
Multigrid preconditioning in \(H(\text{div})\) on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
12
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.
103
1997
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
22
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.
88
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
81
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.
144
1989
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
37
1989
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
45
1988
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
25
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.
24
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.
27
1983
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
9
1983
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
106
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.
39
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.
22
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.
159
1974
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
165
1973
all cited Publications top 5 cited Publications
all top 5

Cited by 2,478 Authors

44 Zhang, Shangyou
40 Beirão da Veiga, Lourenço
36 Gatica, Gabriel N.
29 Carstensen, Carsten
28 Hu, Jun
25 Chen, Long
25 Falk, Richard S.
25 Huang, Xuehai
24 Chen, Yanping
24 Meddahi, Salim
24 Winther, Ragnar
23 Brezzi, Franco
23 Duan, Huoyuan
23 Schöberl, Joachim
22 Arnold, Douglas Norman
21 Gudi, Thirupathi
21 Guzmán, Johnny
21 Hiptmair, Ralf
21 Lovadina, Carlo
21 Lu, Zuliang
21 Manzini, Gianmarco
21 Xu, Jinchao
21 Ye, Xiu
20 Hu, Kaibo
19 Brenner, Susanne Cecelia
19 Gopalakrishnan, Jay
19 Rapetti, Francesca
18 Antonietti, Paola Francesca
18 Gerritsma, Marc I.
17 Dassi, Franco
16 Boffi, Daniele
16 Chen, Shaochun
16 Devloo, Philippe Remy Bernard
16 Feng, Minfu
16 Marini, Luisa Donatella
16 Mora, David
16 Neilan, Michael
16 Ruiz-Baier, Ricardo
16 Shi, Dongyang
16 Zikatanov, Ludmil T.
15 Christiansen, Snorre Harald
15 Gomes, Sônia Maria
15 Hu, Xiaozhe
15 Stenberg, Rolf
15 Yan, Ningning
14 Demkowicz, Leszek
14 Mu, Lin
14 Russo, Alessandro
14 Wang, Junping
14 Yotov, Ivan
14 Zhang, Shuo
14 Zhao, Jikun
13 Ainsworth, Mark
13 Alonso Rodríguez, Ana
13 Kirby, Robert C.
13 Kwak, Do Young
13 Lee, Jeonghun J.
13 Novo, Julia
13 Vassilevski, Panayot Spirov
13 Verani, Marco
13 Xie, Xiaoping
12 Di Pietro, Daniele Antonio
12 Droniou, Jérôme
12 Farrell, Patrick E.
12 Hughes, Thomas J. R.
12 Mardal, Kent-Andre
12 Marquez-Duran, Antonio M.
12 Park, Eun-Jae
12 Porwal, Kamana
12 Qiu, Weifeng
12 Shi, Zhongci
12 Sonnendrücker, Eric
12 Vacca, Giuseppe
12 Zhang, Zhimin
11 Chen, Zhangxin
11 Cockburn, Bernardo
11 Fumagalli, Alessio
11 Lamichhane, Bishnu Prasad
11 Lederer, Philip Lukas
11 Liu, Xin
11 Palha, Artur
11 Rösch, Arnd
11 Sequeira, Filánder A.
11 Stephan, Ernst Peter
10 Burman, Erik
10 Campos Pinto, Martin
10 Ern, Alexandre
10 Gillette, Andrew
10 Han, Weimin
10 Huang, Jianguo
10 Kraus, Johannes K.
10 Linke, Alexander
10 Liu, Steve Wenbin
10 Merdon, Christian
10 Rebholz, Leo Gregory
10 Schwab, Christoph
9 Bochev, Pavel B.
9 Durán, Omar
9 Gastaldi, Lucia
9 Guan, Hongbo
...and 2,378 more Authors
all top 5

Cited in 232 Serials

221 Computer Methods in Applied Mechanics and Engineering
150 Computers & Mathematics with Applications
136 Mathematics of Computation
128 Numerische Mathematik
122 Journal of Computational and Applied Mathematics
122 Journal of Scientific Computing
121 Journal of Computational Physics
87 SIAM Journal on Numerical Analysis
75 Applied Numerical Mathematics
68 SIAM Journal on Scientific Computing
56 Numerical Methods for Partial Differential Equations
54 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
46 International Journal for Numerical Methods in Engineering
45 Applied Mathematics and Computation
41 Calcolo
37 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
34 Advances in Computational Mathematics
31 Computational Methods in Applied Mathematics
21 Numerical Linear Algebra with Applications
20 Numerical Algorithms
19 RAIRO. Modélisation Mathématique et Analyse Numérique
19 Foundations of Computational Mathematics
19 Science China. Mathematics
18 BIT
18 Applied Mathematics Letters
17 International Journal of Numerical Analysis and Modeling
16 Journal of Numerical Mathematics
14 Journal of Mathematical Analysis and Applications
14 Numerical Functional Analysis and Optimization
13 SMAI Journal of Computational Mathematics
12 Computational Mechanics
11 Mathematical Methods in the Applied Sciences
11 Mathematics and Computers in Simulation
11 International Journal of Computer Mathematics
11 Computational Geosciences
10 Advances in Applied Mathematics and Mechanics
9 Computers and Fluids
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Applied Mathematics and Optimization
7 RAIRO. Analyse Numérique
7 SIAM Journal on Control and Optimization
7 Applications of Mathematics
7 Computational and Applied Mathematics
7 Acta Numerica
7 Boundary Value Problems
7 Communications in Computational Physics
7 Results in Applied Mathematics
6 Computer Physics Communications
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
6 Communications on Applied Mathematics and Computation
5 Acta Mechanica
5 Archive for Rational Mechanics and Analysis
5 International Journal of Engineering Science
5 International Journal for Numerical Methods in Fluids
5 Inverse Problems
5 Physica D
5 Applied Mathematical Modelling
5 Applied Mathematics. Series B (English Edition)
5 Engineering Analysis with Boundary Elements
5 Nonlinear Analysis. Theory, Methods & Applications
4 Applicable Analysis
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Mechanics. (English Edition)
4 Journal of Computational Mathematics
4 Mathematical Problems in Engineering
4 Journal of Applied Mathematics and Computing
4 Oberwolfach Reports
4 Frontiers of Mathematics in China
4 East Asian Journal on Applied Mathematics
3 ACM Transactions on Mathematical Software
3 Computing
3 Transactions of the American Mathematical Society
3 Acta Applicandae Mathematicae
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 S\(\vec{\text{e}}\)MA Journal
...and 132 more Serials
all top 5

Cited in 52 Fields

1,978 Numerical analysis (65-XX)
916 Partial differential equations (35-XX)
661 Mechanics of deformable solids (74-XX)
599 Fluid mechanics (76-XX)
275 Calculus of variations and optimal control; optimization (49-XX)
127 Optics, electromagnetic theory (78-XX)
107 Global analysis, analysis on manifolds (58-XX)
34 Approximations and expansions (41-XX)
34 Operator theory (47-XX)
29 Computer science (68-XX)
28 Geophysics (86-XX)
26 Differential geometry (53-XX)
25 Systems theory; control (93-XX)
24 Statistical mechanics, structure of matter (82-XX)
23 Potential theory (31-XX)
23 Dynamical systems and ergodic theory (37-XX)
19 Functional analysis (46-XX)
17 Operations research, mathematical programming (90-XX)
17 Biology and other natural sciences (92-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Probability theory and stochastic processes (60-XX)
12 Measure and integration (28-XX)
12 Integral equations (45-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Mechanics of particles and systems (70-XX)
9 Number theory (11-XX)
9 Statistics (62-XX)
9 Relativity and gravitational theory (83-XX)
8 Ordinary differential equations (34-XX)
7 General and overarching topics; collections (00-XX)
7 Algebraic geometry (14-XX)
7 Real functions (26-XX)
7 Convex and discrete geometry (52-XX)
7 Algebraic topology (55-XX)
5 Combinatorics (05-XX)
5 Difference and functional equations (39-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Manifolds and cell complexes (57-XX)
5 Quantum theory (81-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
2 Category theory; homological algebra (18-XX)
2 Group theory and generalizations (20-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 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Mathematics education (97-XX)

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