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## Scott, Larkin Ridgway

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 Author ID: scott.larkin-ridgway Published as: Scott, L. Ridgway; Scott, Ridgway; Scott, L. R.; Scott, L.; Scott, Larkin Ridgway; Scott, R.; Scott, R. L.
 Documents Indexed: 94 Publications since 1972, including 7 Books
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#### Co-Authors

 10 single-authored 13 Girault, Vivette 9 Pritchard, W. G. 6 Bagheri, Babak 5 Bona, Jerry Lloyd 5 Dupont, Todd F. 5 Xie, Dexuan 4 Kirby, Robert C. 3 Brenner, Susanne Cecelia 3 Ilin, Andrew V. 3 Knepley, Matthew G. 3 McCammon, J. Andrew 3 Nochetto, Ricardo Horacio 3 Vogelius, Michael S. 3 Zhang, Shangyou 2 Brune, Peter R. 2 Clark, Terry W. 2 Guzmán, Johnny 2 Jiang, Yi 2 Johnson, Claes G. L. 2 Lodge, Arthur S. 2 Logg, Anders 2 Metcalfe, Ralph W. 2 Pettitt, B. Montgomery 2 Rauch, Jeffrey B. 2 Saavedra, Patricia 2 Terrel, Andy R. 2 von Hanxleden, Reinhard 1 Alexander, Michael 1 Arnold, Douglas Norman 1 Bank, Randolph E. 1 Barr, Graham D. I. 1 Berger, Alan E. 1 Boyd, E. Andrew 1 Bramble, James H. 1 Calderon, Alberto Pedro 1 Cancès, Eric 1 Cioranescu, Doina 1 Costan, Alexandru 1 DeVore, Ronald A. 1 Douglas, Jim jun. 1 Draganescu, Andrei 1 Fernández, Ariel 1 Gabl, Edward F. 1 Giménez, Domingo 1 Glowinski, Roland 1 Goldstein, Charles I. 1 Gómez Requena, María Engracia 1 Harary, Frank 1 Hunold, Sascha 1 Il’in, Valeriĭ Pavlovich 1 Iosup, Alexandru 1 Lankes, Stefan 1 McGrath, Joseph F. 1 Meyers, Ronald E. 1 Micu, Alexandru M. 1 Mitchell, Lawrence 1 Morgan, Hannah 1 Morgan, John W. 1 O’Brien, Edward E. 1 Percell, Peter B. 1 Rannacher, Rolf 1 Renardy, Yuriko Yamamuro 1 Ricci, Laura 1 Ríos-Mercado, Roger Z. 1 Scarano, Vittorio 1 Schlick, Tamar 1 Schwenk, Allen J. 1 Scott, Larkin B. 1 Southwell, Charles E. 1 Strang, William Gilbert 1 Tavener, Simon J. 1 Taverner, S. J. 1 Tornberg, Anna-Karin 1 Varbanescu, Ana Lucia 1 Veit, Alexander 1 Watson, Layne Terry 1 Wechsung, Florian 1 Weidendorfer, Josef 1 Wineberg, Stephen B. 1 Wu, Suming
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#### Serials

 11 Mathematics of Computation 8 SIAM Journal on Scientific Computing 5 SIAM Journal on Numerical Analysis 3 Journal of Computational Physics 3 SIAM Journal on Mathematical Analysis 3 Texts in Applied Mathematics 2 IMA Journal of Applied Mathematics 2 BIT 2 Calcolo 2 Numerische Mathematik 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SMAI Journal of Computational Mathematics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Physics of Fluids 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Studia Mathematica 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Publications de l’Institut Mathématique. Nouvelle Série 1 RAIRO. Analyse Numérique 1 South African Statistical Journal 1 SIAM Journal on Scientific and Statistical Computing 1 Parallel Computing 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Finite Elements in Analysis and Design 1 Annals of Operations Research 1 SIAM Journal on Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A 1 Numerical Linear Algebra with Applications 1 Methods and Applications of Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Lecture Notes in Computer Science 1 Biological and Medical Physics, Biomedical Engineering
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#### Fields

 65 Numerical analysis (65-XX) 36 Partial differential equations (35-XX) 33 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 7 Approximations and expansions (41-XX) 7 Biology and other natural sciences (92-XX) 6 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

70 Publications have been cited 4,353 times in 3,637 Documents Cited by Year
The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042
Brenner, Susanne C.; Scott, L. Ridgway
2008
The mathematical theory of finite element methods. Zbl 0804.65101
Brenner, Susanne C.; Scott, L. Ridgway
1994
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
1990
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
2002
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
1980
Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007
Rannacher, Rolf; Scott, Ridgway
1982
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Zbl 0608.65013
Scott, L. R.; Vogelius, M.
1985
An evaluation of a model equation for water waves. Zbl 0497.76023
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
1981
Optimal $$L^\infty$$ estimates for the finite element method on irregular meshes. Zbl 0349.65060
Scott, Ridgway
1976
Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032
Bona, Jerry; Scott, Ridgway
1976
Solitary-wave interaction. Zbl 0425.76019
Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway
1980
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208
Arnold, Douglas N.; Scott, L. Ridgway; Vogelius, Michael
1988
A nodal basis for $$C^1$$ piecewise polynomials of degree $$n\geq 5$$. Zbl 0307.65074
Morgan, John; Scott, Ridgway
1975
Interpolated boundary conditions in the finite element method. Zbl 0357.65082
Scott, Ridgway
1975
Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129
Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway
2005
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
2003
Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
1985
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
Scott, L. R.; Vogelius, M.
1985
Finite element convergence for singular data. Zbl 0255.65037
Scott, Ridgway
1973
A family of $$C^1$$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068
Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway
1979
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
1989
Sobolev type inequalities for $$p>0$$. Zbl 0399.46031
Calderon, Alberto P.; Scott, Ridgway
1978
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
2005
Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005
Bramble, James H.; Scott, Ridgway
1978
Approximate boundary conditions in the finite element method. Zbl 0266.73050
Berger, Alan; Scott, Ridgway; Strang, Gilbert
1972
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
1999
Error bounds for Gaussian quadrature and weighted-$$L^ 1$$ polynomial approximation. Zbl 0565.41028
DeVore, Ronald A.; Scott, L. Ridgway
1984
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
2002
A comparison of solutions of two model equations for long waves. Zbl 0534.76024
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
1983
An analysis of quadrature errors in second-kind boundary integral methods. Zbl 0695.65067
Johnson, Claes G. L.; Scott, L. Ridgway
1989
Implicit spectral methods for wave propagation problems. Zbl 0746.65075
Wineberg, Stephen B.; McGrath, Joseph F.; Gabl, Edward F.; Scott, L. Ridgway; Southwell, Charles E.
1991
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
1992
The Scott-Vogelius finite elements revisited. Zbl 1405.65150
Guzmán, Johnny; Scott, L. Ridgway
2019
A reduction technique for natural gas transmission network optimization problems. Zbl 1028.90501
Ríos-Mercado, Roger Z.; Wu, Suming; Scott, L. Ridgway; Boyd, E. Andrew
2002
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
2015
Variational formulation of a model free-boundary problem. Zbl 0743.65097
Saavedra, Patricia; Scott, L. Ridgway
1991
Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022
Pritchard, W. G.; Scott, L. R.; Taverner, S. J.
1992
Optimizing the evaluation of finite element matrices. Zbl 1091.65114
Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway
2005
A fast solver for a nonlocal dielectric continuum model. Zbl 1260.78016
Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway
2012
Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003
Dupont, Todd; Scott, Ridgway
1978
Stability of the finite element Stokes projection in $$W^{1,\infty}$$. Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
2004
On the reconstruction of countable forests. Zbl 0242.05101
Harary, Frank; Schwenk, A. J.; Scott, R. L.
1972
Unstructured geometric multigrid in two and three dimensions on complex and graded meshes. Zbl 1264.65203
Brune, Peter R.; Knepley, Matthew G.; Scott, Larkin Ridgway
2013
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
1994
Scientific parallel computing. Zbl 1067.68074
Scott, L. Ridgway; Clark, Terry; Bagheri, Babak
2005
Solving Galerkin approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method. Zbl 0645.65043
Watson, Layne T.; Scott, L. Ridgway
1987
Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent. Zbl 1287.35092
Xie, Dexuan; Jiang, Yi; Scott, L. Ridgway
2013
Topological optimization of the evaluation of finite element matrices. Zbl 1104.65324
Kirby, Robert C.; Logg, Anders; Scott, L. Ridgway; Terrel, Andy R.
2006
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
2001
A finite element method for problems in perfect plasticity using discontinuous trial functions. Zbl 0572.73076
Johnson, C.; Scott, R.
1981
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
2002
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
2010
Optimal maximum norm error estimates for some finite element methods for treating the Dirichlet problem. Zbl 0541.65071
Goldstein, C. I.; Scott, L. R.
1983
A sharp form of the Sobolev trace theorems. Zbl 0382.46019
Scott, Ridgway
1977
Efficient methods for data smoothing. Zbl 0678.65008
Scott, Larkin B.; Scott, L. Ridgway
1989
A mathematical approach to protein biophysics. Zbl 1390.92003
Scott, L. Ridgway; Fernández, Ariel
2017
Numerical analysis. Zbl 1231.65002
Scott, L. Ridgway
2011
Towards a unified finite element method for the Stokes equations. Zbl 1386.76103
Morgan, Hannah; Scott, L. Ridgway
2018
Cubic Lagrange elements satisfying exact incompressibility. Zbl 1416.76109
Guzmán, Johnny; Scott, L. Ridgway
2018
Applications of Banach space interpolation to finite element theory. Zbl 0412.65052
Scott, Ridgway
1979
$$C^1$$ continuity via constraints for 4th order problems. Zbl 0337.65059
Scott, Ridgway
1974
Parallel linear stationary iterative methods. Zbl 0961.65032
Scott, L. Ridgway; Xie, Dexuan
2000
Parallel molecular dynamics. Zbl 0789.92011
Clark, Terry W.; McCammon, J. Andrew; Scott, L. Ridgway
1992
The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078
Dupont, Todd F.; Scott, L. Ridgway
2013
A fluid particle motion simulation method. Zbl 0920.76051
Tornberg, Anna-Karin; Metcalfe, Ralph W.; Scott, Ridgway; Bagheri, Babak
1997
Solutions of a two-dimensional grade-two fluid model with a tangential boundary condition on non-smooth domains. Zbl 1031.76520
Girault, Vivette; Scott, Ridgway
1998
Geometric optimization of the evaluation of finite element matrices. Zbl 1137.65059
Kirby, Robert C.; Scott, L. Ridgway
2007
Automated FEM discretizations for the Stokes equation. Zbl 1143.76037
Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C.
2008
Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations. Zbl 0995.92019
Xie, Dexuan; Scott, L. Ridgway; Schlick, Tamar
2000
The electrostatic potential of periodic crystals. Zbl 07326326
Rauch, Jeffrey; Scott, L. Ridgway
2021
The electrostatic potential of periodic crystals. Zbl 07326326
Rauch, Jeffrey; Scott, L. Ridgway
2021
The Scott-Vogelius finite elements revisited. Zbl 1405.65150
Guzmán, Johnny; Scott, L. Ridgway
2019
Towards a unified finite element method for the Stokes equations. Zbl 1386.76103
Morgan, Hannah; Scott, L. Ridgway
2018
Cubic Lagrange elements satisfying exact incompressibility. Zbl 1416.76109
Guzmán, Johnny; Scott, L. Ridgway
2018
A mathematical approach to protein biophysics. Zbl 1390.92003
Scott, L. Ridgway; Fernández, Ariel
2017
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
2015
Unstructured geometric multigrid in two and three dimensions on complex and graded meshes. Zbl 1264.65203
Brune, Peter R.; Knepley, Matthew G.; Scott, Larkin Ridgway
2013
Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent. Zbl 1287.35092
Xie, Dexuan; Jiang, Yi; Scott, L. Ridgway
2013
The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078
Dupont, Todd F.; Scott, L. Ridgway
2013
A fast solver for a nonlocal dielectric continuum model. Zbl 1260.78016
Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway
2012
Numerical analysis. Zbl 1231.65002
Scott, L. Ridgway
2011
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
2010
The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042
Brenner, Susanne C.; Scott, L. Ridgway
2008
Automated FEM discretizations for the Stokes equation. Zbl 1143.76037
Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C.
2008
Geometric optimization of the evaluation of finite element matrices. Zbl 1137.65059
Kirby, Robert C.; Scott, L. Ridgway
2007
Topological optimization of the evaluation of finite element matrices. Zbl 1104.65324
Kirby, Robert C.; Logg, Anders; Scott, L. Ridgway; Terrel, Andy R.
2006
Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129
Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway
2005
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
2005
Optimizing the evaluation of finite element matrices. Zbl 1091.65114
Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway
2005
Scientific parallel computing. Zbl 1067.68074
Scott, L. Ridgway; Clark, Terry; Bagheri, Babak
2005
Stability of the finite element Stokes projection in $$W^{1,\infty}$$. Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
2004
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
2003
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
2002
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
2002
A reduction technique for natural gas transmission network optimization problems. Zbl 1028.90501
Ríos-Mercado, Roger Z.; Wu, Suming; Scott, L. Ridgway; Boyd, E. Andrew
2002
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
2002
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
2001
Parallel linear stationary iterative methods. Zbl 0961.65032
Scott, L. Ridgway; Xie, Dexuan
2000
Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations. Zbl 0995.92019
Xie, Dexuan; Scott, L. Ridgway; Schlick, Tamar
2000
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
1999
Solutions of a two-dimensional grade-two fluid model with a tangential boundary condition on non-smooth domains. Zbl 1031.76520
Girault, Vivette; Scott, Ridgway
1998
A fluid particle motion simulation method. Zbl 0920.76051
Tornberg, Anna-Karin; Metcalfe, Ralph W.; Scott, Ridgway; Bagheri, Babak
1997
The mathematical theory of finite element methods. Zbl 0804.65101
Brenner, Susanne C.; Scott, L. Ridgway
1994
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
1994
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
1992
Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022
Pritchard, W. G.; Scott, L. R.; Taverner, S. J.
1992
Parallel molecular dynamics. Zbl 0789.92011
Clark, Terry W.; McCammon, J. Andrew; Scott, L. Ridgway
1992
Implicit spectral methods for wave propagation problems. Zbl 0746.65075
Wineberg, Stephen B.; McGrath, Joseph F.; Gabl, Edward F.; Scott, L. Ridgway; Southwell, Charles E.
1991
Variational formulation of a model free-boundary problem. Zbl 0743.65097
Saavedra, Patricia; Scott, L. Ridgway
1991
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
1990
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
1989
An analysis of quadrature errors in second-kind boundary integral methods. Zbl 0695.65067
Johnson, Claes G. L.; Scott, L. Ridgway
1989
Efficient methods for data smoothing. Zbl 0678.65008
Scott, Larkin B.; Scott, L. Ridgway
1989
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208
Arnold, Douglas N.; Scott, L. Ridgway; Vogelius, Michael
1988
Solving Galerkin approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method. Zbl 0645.65043
Watson, Layne T.; Scott, L. Ridgway
1987
Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Zbl 0608.65013
Scott, L. R.; Vogelius, M.
1985
Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
1985
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
Scott, L. R.; Vogelius, M.
1985
Error bounds for Gaussian quadrature and weighted-$$L^ 1$$ polynomial approximation. Zbl 0565.41028
DeVore, Ronald A.; Scott, L. Ridgway
1984
A comparison of solutions of two model equations for long waves. Zbl 0534.76024
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
1983
Optimal maximum norm error estimates for some finite element methods for treating the Dirichlet problem. Zbl 0541.65071
Goldstein, C. I.; Scott, L. R.
1983
Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007
Rannacher, Rolf; Scott, Ridgway
1982
An evaluation of a model equation for water waves. Zbl 0497.76023
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
1981
A finite element method for problems in perfect plasticity using discontinuous trial functions. Zbl 0572.73076
Johnson, C.; Scott, R.
1981
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
1980
Solitary-wave interaction. Zbl 0425.76019
Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway
1980
A family of $$C^1$$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068
Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway
1979
Applications of Banach space interpolation to finite element theory. Zbl 0412.65052
Scott, Ridgway
1979
Sobolev type inequalities for $$p>0$$. Zbl 0399.46031
Calderon, Alberto P.; Scott, Ridgway
1978
Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005
Bramble, James H.; Scott, Ridgway
1978
Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003
Dupont, Todd; Scott, Ridgway
1978
A sharp form of the Sobolev trace theorems. Zbl 0382.46019
Scott, Ridgway
1977
Optimal $$L^\infty$$ estimates for the finite element method on irregular meshes. Zbl 0349.65060
Scott, Ridgway
1976
Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032
Bona, Jerry; Scott, Ridgway
1976
A nodal basis for $$C^1$$ piecewise polynomials of degree $$n\geq 5$$. Zbl 0307.65074
Morgan, John; Scott, Ridgway
1975
Interpolated boundary conditions in the finite element method. Zbl 0357.65082
Scott, Ridgway
1975
$$C^1$$ continuity via constraints for 4th order problems. Zbl 0337.65059
Scott, Ridgway
1974
Finite element convergence for singular data. Zbl 0255.65037
Scott, Ridgway
1973
Approximate boundary conditions in the finite element method. Zbl 0266.73050
Berger, Alan; Scott, Ridgway; Strang, Gilbert
1972
On the reconstruction of countable forests. Zbl 0242.05101
Harary, Frank; Schwenk, A. J.; Scott, R. L.
1972
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#### Cited by 3,721 Authors

 68 Brenner, Susanne Cecelia 62 Carstensen, Carsten 43 Zhang, Shangyou 33 Larson, Mats G. 32 Huang, Jianguo 32 Nochetto, Ricardo Horacio 30 Bona, Jerry Lloyd 30 Girault, Vivette 30 Neilan, Michael 29 Rebholz, Leo G. 27 Chen, Shaochun 26 Beirão da Veiga, Lourenço 26 Scott, Larkin Ridgway 24 Gudi, Thirupathi 24 Xie, Hehu 24 Yang, Yidu 23 Han, Weimin 22 Praetorius, Dirk 22 Xu, Jinchao 21 Huang, Xuehai 21 Lamichhane, Bishnu Prasad 21 Mao, Shipeng 21 Zhang, Zhimin 20 Feng, Xiaobing 19 Badia, Santiago 19 Bartels, Sören 19 Bi, Hai 19 Di Pietro, Daniele Antonio 19 Melenk, Jens Markus 19 Salgado, Abner J. 18 Gatica, Gabriel N. 18 Hu, Jun 18 Li, Hengguang 18 Schwab, Christoph 18 Vabishchevich, Pëtr Nikolaevich 18 Wohlmuth, Barbara I. 18 Yang, Suh-Yuh 17 Duan, Huoyuan 17 Guzmán, Johnny 17 Hansbo, Peter 17 Hiptmair, Ralf 17 Shi, Zhongci 16 Ainsworth, Mark 16 Burman, Erik 16 Casas, Eduardo 16 Durán, Ricardo G. 16 Nicaise, Serge 16 Otárola, Enrique 16 Rannacher, Rolf 16 Wu, Haijun 16 Yan, Ningning 15 Bramble, James H. 15 Gedicke, Joscha 15 Linke, Alexander 15 Makridakis, Charalambos G. 15 Peterseim, Daniel 15 Shi, Dongyang 15 Sinha, Rajen Kumar 14 Bacuta, Constantin 14 Chen, Long 14 Chen, Yanping 14 Codina, Ramon 14 Hinze, Michael 14 Huang, Yunqing 14 Prohl, Andreas 14 Sayas, Francisco-Javier 14 Vexler, Boris 14 Yang, Danping 14 Ye, Xiu 13 Apel, Thomas 13 Gunzburger, Max D. 13 Ku, Jaeun 13 Leykekhman, Dmitriy 13 Mora, David 13 Xie, Dexuan 13 Yang, Min 12 Babuška, Ivo 12 Bi, Chunjia 12 Chen, Jinru 12 Feischl, Michael 12 Guo, Hailong 12 Karkulik, Michael 12 Li, Buyang 12 Lube, Gert 12 Manzini, Gianmarco 12 Sun, Weiwei 12 Wheeler, Mary Fanett 12 Zhang, Bingyu 12 Zou, Jun 11 Chen, Zhangxin 11 Demlow, Alan 11 Gallistl, Dietmar 11 Gastaldi, Lucia 11 Gong, Wei 11 Guillén González, Francisco M. 11 Gutiérrez-Santacreu, Juan Vicente 11 Lin, Yanping 11 Liu, Jiangguo 11 Mu, Lin 11 Park, Eun-Jae ...and 3,621 more Authors
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#### Cited in 314 Serials

 286 Numerische Mathematik 282 Mathematics of Computation 244 Computer Methods in Applied Mechanics and Engineering 229 Journal of Computational and Applied Mathematics 201 Journal of Scientific Computing 165 Computers & Mathematics with Applications 136 SIAM Journal on Numerical Analysis 128 Applied Numerical Mathematics 106 Journal of Computational Physics 98 Applied Mathematics and Computation 92 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 91 Numerical Methods for Partial Differential Equations 80 SIAM Journal on Scientific Computing 55 Advances in Computational Mathematics 51 Journal of Mathematical Analysis and Applications 51 Calcolo 37 Computational Methods in Applied Mathematics 32 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 30 Numerical Functional Analysis and Optimization 29 BIT 26 Japan Journal of Industrial and Applied Mathematics 25 Mathematical Methods in the Applied Sciences 25 International Journal for Numerical Methods in Engineering 23 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 23 Journal of Numerical Mathematics 22 Computational Optimization and Applications 21 RAIRO. Modélisation Mathématique et Analyse Numérique 20 Applications of Mathematics 20 Science China. Mathematics 18 Numerical Algorithms 17 Applied Mathematics Letters 16 Journal of Approximation Theory 16 Communications in Numerical Methods in Engineering 15 Computational Geosciences 14 Applied Mathematical Modelling 14 Mathematical Problems in Engineering 13 Journal of Differential Equations 13 Foundations of Computational Mathematics 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of Mathematical Physics 12 Numerical Linear Algebra with Applications 11 Computers and Fluids 11 Computing 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Abstract and Applied Analysis 10 Applicable Analysis 10 Mathematics and Computers in Simulation 10 RAIRO. Analyse Numérique 10 Physica D 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Discrete and Continuous Dynamical Systems. Series B 10 Multiscale Modeling & Simulation 10 Advances in Applied Mathematics and Mechanics 9 SIAM Journal on Control and Optimization 9 Journal of Integral Equations and Applications 9 International Journal of Computer Mathematics 8 Archive for Rational Mechanics and Analysis 8 Transactions of the American Mathematical Society 8 Archives of Computational Methods in Engineering 8 Mathematical Control and Related Fields 7 International Journal for Numerical Methods in Fluids 7 Journal of Fluid Mechanics 7 Journal of Functional Analysis 7 Computational Mechanics 7 Science in China. Series A 7 Journal of Nonlinear Science 7 Computational and Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 7 SMAI Journal of Computational Mathematics 6 Applied Mathematics and Optimization 6 Acta Applicandae Mathematicae 6 Computer Aided Geometric Design 6 Physics of Fluids 6 Engineering Analysis with Boundary Elements 6 Discrete and Continuous Dynamical Systems 6 Computing and Visualization in Science 6 Journal of Applied Mathematics and Computing 6 International Journal of Computational Methods 6 Frontiers of Mathematics in China 6 Molecular Based Mathematical Biology 6 SIAM/ASA Journal on Uncertainty Quantification 5 Indian Journal of Pure & Applied Mathematics 5 Inverse Problems 5 Mathematical Notes 5 Chaos, Solitons and Fractals 5 Journal of Optimization Theory and Applications 5 Proceedings of the American Mathematical Society 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Mathematicae Applicatae Sinica. English Series 5 Constructive Approximation 5 Communications in Partial Differential Equations 5 Applied Mathematics. Series B (English Edition) 5 Journal of Inverse and Ill-Posed Problems 5 Journal of Mathematical Fluid Mechanics 5 Nonlinear Analysis. Real World Applications 5 Journal of Systems Science and Complexity 5 Communications on Pure and Applied Analysis 5 Central European Journal of Mathematics 5 Advances in Difference Equations 5 Boundary Value Problems ...and 214 more Serials
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#### Cited in 49 Fields

 2,931 Numerical analysis (65-XX) 1,772 Partial differential equations (35-XX) 856 Fluid mechanics (76-XX) 497 Mechanics of deformable solids (74-XX) 234 Calculus of variations and optimal control; optimization (49-XX) 143 Optics, electromagnetic theory (78-XX) 123 Approximations and expansions (41-XX) 70 Probability theory and stochastic processes (60-XX) 67 Biology and other natural sciences (92-XX) 63 Functional analysis (46-XX) 54 Statistical mechanics, structure of matter (82-XX) 49 Integral equations (45-XX) 41 Geophysics (86-XX) 39 Real functions (26-XX) 39 Ordinary differential equations (34-XX) 38 Dynamical systems and ergodic theory (37-XX) 36 Operator theory (47-XX) 35 Operations research, mathematical programming (90-XX) 33 Systems theory; control (93-XX) 30 Classical thermodynamics, heat transfer (80-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 24 Potential theory (31-XX) 23 Computer science (68-XX) 22 Global analysis, analysis on manifolds (58-XX) 17 Quantum theory (81-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Statistics (62-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Combinatorics (05-XX) 12 Mechanics of particles and systems (70-XX) 11 Information and communication theory, circuits (94-XX) 10 Special functions (33-XX) 7 Differential geometry (53-XX) 5 Mathematical logic and foundations (03-XX) 5 Functions of a complex variable (30-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 (73-XX)