## Falk, Richard S.

Compute Distance To:
 Author ID: falk.richard-s Published as: Falk, Richard S.; Falk, R. S.; Falk, Richard more...less
 Documents Indexed: 78 Publications since 1973 Co-Authors: 33 Co-Authors with 59 Joint Publications 837 Co-Co-Authors
all top 5

### Co-Authors

 17 single-authored 24 Arnold, Douglas Norman 13 Winther, Ragnar 6 Richter, Gerard R. 4 Coleman, Bernard David 4 Moakher, Maher 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 Nussbaum, Roger David 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

 15 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 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 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 Foundations of Computational Mathematics 1 Acta Numerica 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Journal of Fractal Geometry
all top 5

### Fields

 60 Numerical analysis (65-XX) 39 Partial differential equations (35-XX) 26 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 5 Approximations and expansions (41-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Potential theory (31-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-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)

### Citations contained in zbMATH Open

71 Publications have been cited 2,633 times in 1,903 Documents Cited by Year
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2010
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
1973
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
1974
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
1989
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
2014
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2007
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
2002
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
1980
Quadrilateral $$H$$(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
2005
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2000
Preconditioning in H $$(\operatorname{div})$$ and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
1997
Nonconforming finite element methods for the equations of linear elasticity. Zbl 0747.73044
Falk, Richard S.
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
1991
Stokes complexes and the construction of stable finite elements with pointwise mass conservation. Zbl 1268.76032
Falk, Richard S.; Neilan, Michael
2013
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
1988
Explicit finite element methods for symmetric hyperbolic equations. Zbl 0923.65065
Falk, Richard S.; Richter, Gerard R.
1998
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
1990
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
1996
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2009
Approximation of the biharmonic equation by a mixed finite element method. Zbl 0383.65059
Falk, Richard S.
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
2006
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
2014
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
2007
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
1989
Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083
Falk, Richard S.
1983
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
2000
Equivalence of finite element methods for problems in elasticity. Zbl 0722.73068
Falk, Richard S.; Morley, Mary E.
1990
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
1987
Hexahedral $$\mathbf H(\operatorname{div})$$ and $$\mathbf H(\operatorname{curl})$$ finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
2011
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
An error estimate for the truncation method for the solution of parabolic obstacle variational inequalities. Zbl 0367.65056
Berger, Alan E.; Falk, Richard S.
1977
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
1997
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.
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
1996
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Zbl 0869.73068
Arnold, Douglas N.; Falk, Richard S.
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.
1999
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
2008
Analysis of a continuous finite element method for hyperbolic equations. Zbl 0619.65100
Falk, Richard S.; Richter, Gerard R.
1987
Finite element approximation on quadrilateral meshes. Zbl 0999.76073
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.; Gastaldi, Lucia
2001
Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
2008
Numerical approximation of a Cauchy problem for a parabolic partial differential equation. Zbl 0439.65093
Ewing, Richard E.; Falk, Richard S.
1979
A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085
Falk, Richard S.
2008
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
1995
A penalty and extrapolation method for the stationary Stokes equations. Zbl 0345.65061
Falk, Richard S.; King, J. Thomas
1976
Error estimates for elastic-plastic problems. Zbl 0357.73062
Falk, Richard S.; Mercier, Bertrand
1977
Convergence of a second-order scheme for the nonlinear dynamical equations of elastic rods. Zbl 0832.73080
Falk, Richard S.; Xu, Jian-Ming
1995
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
2012
Multigrid preconditioning in $$H(\text{div})$$ on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
1998
An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations. Zbl 0351.65028
Falk, Richard S.
1976
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
1983
Local error estimates for a finite element method for hyperbolic and convection-diffusion equations. Zbl 0757.65104
Falk, Richard S.; Richter, Gerard R.
1992
Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108
Falk, Richard S.; Osborn, John E.
1994
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
2015
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.
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.
1976
$$C^m$$ 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.
2018
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
1998
Explicit finite element methods for linear hyperbolic systems. Zbl 0946.65082
Falk, Richard S.; Richter, Gerard R.
2000
Approximation of an elliptic boundary value problem with unilateral constraints. Zbl 0316.65024
Falk, Richard S.
1975
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
2016
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.
1999
Estimation d’erreur en elastoplasticite. Zbl 0329.73031
Falk, Richard; Mercier, Bertrand
1976
Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066
Ewing, Richard; Lin, Tao; Falk, Richard
1987
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
1985
Analysis of finite element methods for linear hyperbolic problems. Zbl 0946.65081
Falk, Richard S.
2000
A Ritz method based on a complementary variational principle. Zbl 0363.65084
Falk, Richard S.
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.
2018
On the consistency of the combinatorial codifferential. Zbl 1298.58003
Arnold, Douglas N.; Falk, Richard S.; Guzmán, Johnny; Tsogtgerel, Gantumur
2014
The approximation of hyperbolic and convection-diffusion equations by explicit finite element methods. Zbl 0771.65069
Falk, Richard S.; Richter, Gerard R.
1991
Error estimates for the approximate identification of a constant coefficient from boundary flux data. Zbl 0439.65071
Falk, Richard S.
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.
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.
2018
The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152
Falk, Richard S.; Winther, Ragnar
2016
Double complexes and local cochain projections. Zbl 1309.65132
Falk, Richard S.; Winther, Ragnar
2015
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
2014
Local bounded cochain projections. Zbl 1300.65085
Falk, Richard S.; Winther, Ragnar
2014
On the consistency of the combinatorial codifferential. Zbl 1298.58003
Arnold, Douglas N.; Falk, Richard S.; Guzmán, Johnny; Tsogtgerel, Gantumur
2014
Stokes complexes and the construction of stable finite elements with pointwise mass conservation. Zbl 1268.76032
Falk, Richard S.; Neilan, Michael
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.
2013
Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Zbl 1260.65100
Arnold, Douglas N.; Falk, Richard S.; Gopalakrishnan, Jay
2012
Hexahedral $$\mathbf H(\operatorname{div})$$ and $$\mathbf H(\operatorname{curl})$$ finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
2011
Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2010
Geometric decompositions and local bases for spaces of finite element differential forms. Zbl 1227.65091
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2009
Finite element methods for linear elasticity. Zbl 1419.74235
Falk, Richard S.
2008
Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041
Falk, Richard S.
2008
A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085
Falk, Richard S.
2008
Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2007
Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella
2007
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
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
2006
Differential complexes and stability of finite element methods. II: The elasticity complex. Zbl 1119.65399
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2006
Quadrilateral $$H$$(div) finite elements. Zbl 1086.65105
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
2005
Approximation by quadrilateral finite elements. Zbl 0993.65125
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.
2002
Finite element approximation on quadrilateral meshes. Zbl 0999.76073
Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S.; Gastaldi, Lucia
2001
Multigrid in H(div) and H(curl). Zbl 0974.65113
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
2000
Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063
Falk, Richard S.; Tu, Tong
2000
Explicit finite element methods for linear hyperbolic systems. Zbl 0946.65082
Falk, Richard S.; Richter, Gerard R.
2000
Analysis of finite element methods for linear hyperbolic problems. Zbl 0946.65081
Falk, Richard S.
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.
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.
1999
Explicit finite element methods for symmetric hyperbolic equations. Zbl 0923.65065
Falk, Richard S.; Richter, Gerard R.
1998
Multigrid preconditioning in $$H(\text{div})$$ on non-convex polygons. Zbl 0922.65078
Arnold, D. N.; Falk, R. S.; Winther, R.
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
1998
Preconditioning in H $$(\operatorname{div})$$ and applications. Zbl 0870.65112
Arnold, Douglas N.; Falk, Richard S.; Winther, R.
1997
Preconditioning discrete approximations of the Reissner-Mindlin plate model. Zbl 0877.73060
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
1997
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Zbl 0869.73068
Arnold, Douglas N.; Falk, Richard S.
1997
Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. Zbl 0846.73027
Arnold, Douglas N.; Falk, Richard S.
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
1996
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
1995
Convergence of a second-order scheme for the nonlinear dynamical equations of elastic rods. Zbl 0832.73080
Falk, Richard S.; Xu, Jian-Ming
1995
Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108
Falk, Richard S.; Osborn, John E.
1994
Local error estimates for a finite element method for hyperbolic and convection-diffusion equations. Zbl 0757.65104
Falk, Richard S.; Richter, Gerard R.
1992
Nonconforming finite element methods for the equations of linear elasticity. Zbl 0747.73044
Falk, Richard S.
1991
Stability of higher-order Hood-Taylor methods. Zbl 0731.76042
Brezzi, Franco; Falk, Richard S.
1991
The approximation of hyperbolic and convection-diffusion equations by explicit finite element methods. Zbl 0771.65069
Falk, Richard S.; Richter, Gerard R.
1991
The boundary layer for the Reissner-Mindlin plate model. Zbl 0698.73042
Arnold, Douglas N.; Falk, Richard S.
1990
Equivalence of finite element methods for problems in elasticity. Zbl 0722.73068
Falk, Richard S.; Morley, Mary E.
1990
A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040
Arnold, Douglas N.; Falk, Richard S.
1989
Nonconforming finite elements for the Stokes problem. Zbl 0685.76018
Crouzeix, Michel; Falk, Richard S.
1989
A new mixed formulation for elasticity. Zbl 0621.73102
Arnold, Douglas N.; Falk, Richard S.
1988
Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials. Zbl 0618.73012
Arnold, Douglas N.; Falk, Richard S.
1987
Analysis of a continuous finite element method for hyperbolic equations. Zbl 0619.65100
Falk, Richard S.; Richter, Gerard R.
1987
Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066
Ewing, Richard; Lin, Tao; Falk, Richard
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.
1986
A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073
Bramble, James H.; Falk, Richard S.
1985
Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083
Falk, Richard S.
1983
Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
1983
Error estimates for mixed methods. Zbl 0467.65062
Falk, R. S.; Osborn, J. E.
1980
Error estimates for the approximate identification of a constant coefficient from boundary flux data. Zbl 0439.65071
Falk, Richard S.
1980
Numerical approximation of a Cauchy problem for a parabolic partial differential equation. Zbl 0439.65093
Ewing, Richard E.; Falk, Richard S.
1979
Approximation of the biharmonic equation by a mixed finite element method. Zbl 0383.65059
Falk, Richard S.
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.
1977
Error estimates for elastic-plastic problems. Zbl 0357.73062
Falk, Richard S.; Mercier, Bertrand
1977
A penalty and extrapolation method for the stationary Stokes equations. Zbl 0345.65061
Falk, Richard S.; King, J. Thomas
1976
An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations. Zbl 0351.65028
Falk, Richard S.
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.
1976
Estimation d’erreur en elastoplasticite. Zbl 0329.73031
Falk, Richard; Mercier, Bertrand
1976
A Ritz method based on a complementary variational principle. Zbl 0363.65084
Falk, Richard S.
1976
Approximation of an elliptic boundary value problem with unilateral constraints. Zbl 0316.65024
Falk, Richard S.
1975
Error estimates for the approximation of a class of variational inequalities. Zbl 0297.65061
Falk, Richard S.
1974
Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036
Falk, Richard S.
1973
all top 5

### Cited by 2,019 Authors

 34 Beirão da Veiga, Lourenço 30 Gatica, Gabriel N. 29 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 16 Manzini, Gianmarco 15 Boffi, Daniele 15 Chen, Long 15 Dassi, Franco 15 Yan, Ningning 15 Zikatanov, Ludmil T. 14 Antonietti, Paola Francesca 14 Chen, Shaochun 14 Christiansen, Snorre Harald 14 Mora, David 14 Shi, Dongyang 14 Stenberg, Rolf 14 Wang, Junping 13 Feng, Minfu 13 Gerritsma, Marc I. 13 Hu, Kaibo 13 Huang, Xuehai 13 Marini, Luisa Donatella 13 Shi, Zhongci 12 Lee, Jeonghun J. 12 Neilan, Michael 12 Zhang, Shuo 11 Marquez-Duran, Antonio M. 11 Mu, Lin 11 Qiu, Weifeng 11 Sequeira, Filánder A. 11 Vacca, Giuseppe 11 Vassilevski, Panayot Spirov 11 Xie, Xiaoping 10 Burman, Erik 10 Cockburn, Bernardo 10 Demkowicz, Leszek F. 10 Hughes, Thomas J. R. 10 Kwak, Do Young 10 Lamichhane, Bishnu Prasad 10 Novo, Julia 10 Rebholz, Leo G. 10 Rösch, Arnd 10 Russo, Alessandro 10 Stephan, Ernst Peter 10 Verani, Marco 10 Yotov, Ivan 10 Zhang, Zhimin 9 Ainsworth, Mark 9 Bochev, Pavel B. 9 Devloo, Philippe Remy Bernard 9 Gillette, Andrew 9 Hu, Xiaozhe 9 Linke, Alexander 9 Liu, Steve Wenbin 9 Palha, Artur 9 Rapetti, Francesca 9 Rodríguez, Rodolfo 9 Ruiz-Baier, Ricardo 9 Sonnendrücker, Eric 9 Zhao, Jikun 8 Abdulla, Ugur G. 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 Huang, Jianguo 8 Kirby, Robert C. 8 Mao, Shipeng 8 Mardal, Kent-Andre 8 Park, Eun-Jae 8 Repin, Sergeĭ Igorevich 8 Schwab, Christoph 7 Barrett, John W. 7 Buffa, Annalisa 7 Cai, Zhiqiang 7 Calo, Victor Manuel 7 Chen, Zhangxin ...and 1,919 more Authors
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### Cited in 201 Serials

 184 Computer Methods in Applied Mechanics and Engineering 121 Mathematics of Computation 120 Numerische Mathematik 106 Computers & Mathematics with Applications 104 Journal of Computational and Applied Mathematics 91 Journal of Computational Physics 91 Journal of Scientific Computing 68 SIAM Journal on Numerical Analysis 65 Applied Numerical Mathematics 46 SIAM Journal on Scientific Computing 44 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 42 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 27 Computational Methods in Applied Mathematics 23 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 15 Numerical Algorithms 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 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 Communications on Applied Mathematics and Computation 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 ...and 101 more Serials
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### Cited in 50 Fields

 1,526 Numerical analysis (65-XX) 696 Partial differential equations (35-XX) 536 Mechanics of deformable solids (74-XX) 422 Fluid mechanics (76-XX) 234 Calculus of variations and optimal control; optimization (49-XX) 97 Optics, electromagnetic theory (78-XX) 70 Global analysis, analysis on manifolds (58-XX) 27 Approximations and expansions (41-XX) 25 Operator theory (47-XX) 23 Geophysics (86-XX) 22 Systems theory; control (93-XX) 20 Computer science (68-XX) 19 Potential theory (31-XX) 19 Differential geometry (53-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) 9 Probability theory and stochastic processes (60-XX) 8 Integral equations (45-XX) 8 Statistics (62-XX) 8 Classical thermodynamics, heat transfer (80-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) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-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 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 Special functions (33-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)