Edit Profile (opens in new tab) Falk, Richard S. Co-Author Distance Author ID: falk.richard-s Published as: Falk, Richard S.; Falk, R. S.; Falk, Richard more...less Documents Indexed: 83 Publications since 1973, including 2 Additional arXiv Preprints Co-Authors: 33 Co-Authors with 64 Joint Publications 940 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 73 Publications have been cited 3,151 times in 2,238 Documents Cited by ▼ Year ▼ Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar 420 2006 Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar 257 2010 Basic principles of mixed virtual element methods. Zbl 1299.76130 Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 174 2014 Mixed finite element methods for linear elasticity with weakly imposed symmetry. Zbl 1118.74046 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar 157 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. 148 1974 A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040 Arnold, Douglas N.; Falk, Richard S. 142 1989 Multigrid in H(div) and H(curl). Zbl 0974.65113 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar 114 2000 Approximation by quadrilateral finite elements. Zbl 0993.65125 Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S. 113 2002 Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105 Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S. 108 2005 Error estimates for mixed methods. Zbl 0467.65062 Falk, R. S.; Osborn, J. E. 101 1980 Stokes complexes and the construction of stable finite elements with pointwise mass conservation. Zbl 1268.76032 Falk, Richard S.; Neilan, Michael 95 2013 Preconditioning in H \((\operatorname{div})\) and applications. Zbl 0870.65112 Arnold, Douglas N.; Falk, Richard S.; Winther, R. 92 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. 74 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. 46 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 Approximation of the biharmonic equation by a mixed finite element method. Zbl 0383.65059 Falk, Richard S. 38 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 38 2006 Local bounded cochain projections. Zbl 1300.65085 Falk, Richard S.; Winther, Ragnar 36 2014 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 30 2006 Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396 Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella 29 2007 Hexahedral \(\mathbf H(\operatorname{div})\) and \(\mathbf H(\operatorname{curl})\) finite elements. Zbl 1270.65066 Falk, Richard S.; Gatto, Paolo; Monk, Peter 27 2011 Locking-free finite elements for the Reissner-Mindlin plate. Zbl 0965.74063 Falk, Richard S.; Tu, Tong 26 2000 Equivalence of finite element methods for problems in elasticity. Zbl 0722.73068 Falk, Richard S.; Morley, Mary E. 25 1990 Error estimates for the numerical identification of a variable coefficient. Zbl 0551.65083 Falk, Richard S. 24 1983 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 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 Finite element methods for linear elasticity. Zbl 1419.74235 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. 14 1999 Error estimates for elastic-plastic problems. Zbl 0357.73062 Falk, Richard S.; Mercier, Bertrand 13 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 Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041 Falk, Richard S. 13 2008 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 A Fortin operator for two-dimensional Taylor-Hood elements. Zbl 1143.65085 Falk, Richard S. 10 2008 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 Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048 Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher 9 1995 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. 7 1976 Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063 Bramble, James H.; Falk, Richard S. 7 1983 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 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 The bubble transform: a new tool for analysis of finite element methods. Zbl 1337.65152 Falk, Richard S.; Winther, Ragnar 6 2016 Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108 Falk, Richard S.; Osborn, John E. 5 1994 A mixed finite element method for EWOD that directly computes the position of the moving interface. Zbl 1268.76063 Falk, Richard S.; Walker, Shawn W. 5 2013 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 an elliptic boundary value problem with unilateral constraints. Zbl 0316.65024 Falk, Richard S. 4 1975 Explicit finite element methods for linear hyperbolic systems. Zbl 0946.65082 Falk, Richard S.; Richter, Gerard R. 4 2000 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. 4 2018 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 Estimation d’erreur en elastoplasticite. Zbl 0329.73031 Falk, Richard; Mercier, Bertrand 3 1976 Inverse and ill-posed problems in reservoir simulation. Zbl 0667.35066 Ewing, Richard; Lin, Tao; Falk, Richard 3 1987 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 Error estimates for the approximate identification of a constant coefficient from boundary flux data. Zbl 0439.65071 Falk, Richard S. 1 1980 Approximation of inverse problems. Zbl 0706.65124 Falk, Richard S. 1 1990 The approximation of hyperbolic and convection-diffusion equations by explicit finite element methods. Zbl 0771.65069 Falk, Richard S.; Richter, Gerard R. 1 1991 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. 4 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 174 2014 Local bounded cochain projections. Zbl 1300.65085 Falk, Richard S.; Winther, Ragnar 36 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 95 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 27 2011 Finite element exterior calculus: From Hodge theory to numerical stability. Zbl 1207.65134 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar 257 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. 17 2008 Finite elements for the Reissner-Mindlin plate. Zbl 1167.74041 Falk, Richard S. 13 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 157 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 420 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 30 2006 Quadrilateral \(H\)(div) finite elements. Zbl 1086.65105 Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S. 108 2005 Approximation by quadrilateral finite elements. Zbl 0993.65125 Arnold, Douglas N.; Boffi, Daniele; Falk, Richard S. 113 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 114 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. 92 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 9 1995 Convergence of a second-order scheme for the nonlinear dynamical equations of elastic rods. Zbl 0832.73080 Falk, Richard S.; Xu, Jian-Ming 8 1995 Remarks on mixed finite element methods for problems with rough coefficients. Zbl 0801.65108 Falk, Richard S.; Osborn, John E. 5 1994 Local error estimates for a finite element method for hyperbolic and convection-diffusion equations. Zbl 0757.65104 Falk, Richard S.; Richter, Gerard R. 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. 74 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. 46 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. 1 1990 A uniformly accurate finite element method for the Reissner-Mindlin plate. Zbl 0696.73040 Arnold, Douglas N.; Falk, Richard S. 142 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 3 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. 24 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. 101 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 13 1977 A penalty and extrapolation method for the stationary Stokes equations. Zbl 0345.65061 Falk, Richard S.; King, J. Thomas 9 1976 An analysis of the finite element method using Lagrange multipliers for the stationary Stokes equations. Zbl 0351.65028 Falk, Richard S. 7 1976 A finite element method for the stationary Stokes equations using trial functions which do not have to satisfy div v=0. Zbl 0368.35026 Falk, Richard S. 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. 148 1974 Approximation of a class of optimal control problems with order of convergence estimates. Zbl 0268.49036 Falk, Richard S. 156 1973 all cited Publications top 5 cited Publications all top 5 Cited by 2,352 Authors 38 Beirão da Veiga, Lourenço 37 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 Lu, Zuliang 20 Huang, Xuehai 19 Gopalakrishnan, Jay 19 Manzini, Gianmarco 19 Ye, Xiu 18 Hu, Kaibo 18 Lovadina, Carlo 17 Brenner, Susanne Cecelia 17 Dassi, Franco 17 Hiptmair, Ralf 16 Boffi, Daniele 16 Christiansen, Snorre Harald 16 Feng, Minfu 16 Gerritsma, Marc I. 16 Mora, David 16 Neilan, Michael 16 Shi, Dongyang 16 Stenberg, Rolf 15 Antonietti, Paola Francesca 15 Chen, Shaochun 15 Marini, Luisa Donatella 15 Rapetti, Francesca 15 Ruiz-Baier, Ricardo 15 Yan, Ningning 14 Wang, Junping 14 Yotov, Ivan 13 Demkowicz, Leszek F. 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 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 Devloo, Philippe Remy Bernard 11 Fumagalli, Alessio 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 Di Pietro, Daniele Antonio 10 Droniou, Jérôme 10 Ern, Alexandre 10 Gillette, Andrew 10 Gomes, Sônia Maria 10 Lamichhane, Bishnu Prasad 10 Linke, Alexander 10 Liu, Xin 10 Rebholz, Leo G. 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 9 Rodríguez, Rodolfo ...and 2,252 more Authors all top 5 Cited in 222 Serials 212 Computer Methods in Applied Mechanics and Engineering 141 Computers & Mathematics with Applications 135 Mathematics of Computation 126 Numerische Mathematik 116 Journal of Scientific Computing 115 Journal of Computational Physics 112 Journal of Computational and Applied Mathematics 83 SIAM Journal on Numerical Analysis 68 Applied Numerical Mathematics 61 SIAM Journal on Scientific Computing 53 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 47 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 44 Applied Mathematics and Computation 42 Numerical Methods for Partial Differential Equations 40 Calcolo 30 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 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 Mathematics and Computers in Simulation 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 RAIRO. Analyse Numérique 7 SIAM Journal on Control and Optimization 7 Applications of Mathematics 7 Acta Numerica 7 Boundary Value Problems 6 Applied Mathematics and Optimization 6 Journal of Inequalities and Applications 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Acta Mechanica 5 Archive for Rational Mechanics and Analysis 5 Inverse Problems 5 Physica D 5 Applied Mathematical Modelling 5 Applied Mathematics. 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Série Rouge 3 Communications in Mathematics and Statistics 3 Electronic Research Archive 2 Journal of Mathematical Physics ...and 122 more Serials all top 5 Cited in 52 Fields 1,824 Numerical analysis (65-XX) 842 Partial differential equations (35-XX) 620 Mechanics of deformable solids (74-XX) 555 Fluid mechanics (76-XX) 260 Calculus of variations and optimal control; optimization (49-XX) 118 Optics, electromagnetic theory (78-XX) 97 Global analysis, analysis on manifolds (58-XX) 32 Operator theory (47-XX) 30 Approximations and expansions (41-XX) 27 Geophysics (86-XX) 24 Differential geometry (53-XX) 22 Potential theory (31-XX) 22 Statistical mechanics, structure of matter (82-XX) 22 Systems theory; control (93-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Computer science (68-XX) 16 Functional analysis (46-XX) 15 Biology and other natural sciences (92-XX) 14 Operations research, mathematical programming (90-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Measure and integration (28-XX) 10 Probability theory and stochastic processes (60-XX) 9 Integral equations (45-XX) 9 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 Real functions (26-XX) 6 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Convex and discrete geometry (52-XX) 6 Algebraic topology (55-XX) 6 Quantum theory (81-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Relativity and gravitational theory (83-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