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Scott, Larkin Ridgway

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Author ID: scott.larkin-ridgway Recent zbMATH articles by "Scott, Larkin Ridgway"
Published as: Scott, L. Ridgway; Scott, L. R.; Scott, Ridgway; Scott, Larkin Ridgway; Scott, R.; Scott, R. L.
all top 5

Co-Authors

10 single-authored
14 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 Pollock, Sara
3 Vogelius, Michael S.
3 Zhang, Shangyou
2 Brune, Peter R.
2 Clark, Terry W.
2 Farrell, Patrick Emmet
2 Gjerde, Ingeborg G.
2 Guzmán, Johnny
2 Jiang, Yi
2 Johnson, Claes G. L.
2 Lodge, Arthur S.
2 Logg, Anders
2 Metcalfe, Ralph W.
2 Mitchell, Lawrence
2 Pettitt, B. Montgomery
2 Rauch, Jeffrey B.
2 Saavedra, Patricia
2 Terrel, Andy R.
2 von Hanxleden, Reinhard
2 Wechsung, Florian
1 Alexander, Michael
1 Alperin, Jonathan L.
1 Arnold, Douglas Norman
1 Bank, Randolph E.
1 Barr, Graham D. I.
1 Berger, Alan E.
1 Blau, Harvey I.
1 Boyd, E. Andrew
1 Bramble, James H.
1 Broué, Michel
1 Calderon, Alberto Pedro
1 Cancès, Eric
1 Carter, Roger William
1 Cioranescu, Doina
1 Cliff, Gerald H.
1 Costan, Alexandru
1 DeVore, Ronald A.
1 Douglas, Jim jun.
1 Draganescu, Andrei
1 Erdmann, Karin
1 Fernández, Ariel
1 Gabl, Edward F.
1 Giménez, Domingo
1 Glowinski, Roland
1 Goldstein, Charles I.
1 Gómez Requena, María Engracia
1 Green, James Alexander
1 Harary, Frank
1 Hunold, Sascha
1 Huppert, Bertram
1 Il’in, Valeriĭ Pavlovich
1 Iosup, Alexandru
1 Knörr, Reinhard
1 Kühlshammer, B.
1 Lankes, Stefan
1 McGrath, Joseph F.
1 Meyers, Ronald E.
1 Michler, Gerhard O.
1 Micu, Alexandru M.
1 Morgan, Hannah
1 Morgan, John W.
1 O’Brien, Edward E.
1 Olsson, Jorn Borling
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 Sibley, David A.
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 Weidendorfer, Josef
1 Willems, Wolfgang
1 Wineberg, Stephen B.
1 Wu, Suming
all top 5

Serials

12 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 IMA Journal of Numerical Analysis
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 Journal of Mathematical Fluid Mechanics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 International Journal of Numerical Analysis and Modeling
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Lecture Notes in Computer Science
1 Various Publications Series. Aarhus Universitet
1 Biological and Medical Physics, Biomedical Engineering
1 SN Partial Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 4,999 times in 4,141 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
942
1994
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
666
1990
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
455
2002
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
168
1980
Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007
Rannacher, Rolf; Scott, Ridgway
154
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.
153
1985
An evaluation of a model equation for water waves. Zbl 0497.76023
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
104
1981
Optimal \(L^\infty\) estimates for the finite element method on irregular meshes. Zbl 0349.65060
Scott, Ridgway
88
1976
Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032
Bona, Jerry; Scott, Ridgway
67
1976
Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129
Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway
52
2005
A nodal basis for \(C^1\) piecewise polynomials of degree \(n\geq 5\). Zbl 0307.65074
Morgan, John; Scott, Ridgway
52
1975
Solitary-wave interaction. Zbl 0425.76019
Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway
50
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
47
1988
Interpolated boundary conditions in the finite element method. Zbl 0357.65082
Scott, Ridgway
44
1975
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
Scott, L. R.; Vogelius, M.
43
1985
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
42
1979
Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
42
1985
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
41
2003
Finite element convergence for singular data. Zbl 0255.65037
Scott, Ridgway
40
1973
Sobolev type inequalities for \(p>0\). Zbl 0399.46031
Calderon, Alberto P.; Scott, Ridgway
31
1978
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
30
2005
The Scott-Vogelius finite elements revisited. Zbl 1405.65150
Guzmán, Johnny; Scott, L. Ridgway
29
2019
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
28
1989
Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005
Bramble, James H.; Scott, Ridgway
25
1978
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
25
2002
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
24
1999
Approximate boundary conditions in the finite element method. Zbl 0266.73050
Berger, Alan; Scott, Ridgway; Strang, Gilbert
23
1972
Error bounds for Gaussian quadrature and weighted-\(L^ 1\) polynomial approximation. Zbl 0565.41028
DeVore, Ronald A.; Scott, L. Ridgway
20
1984
A comparison of solutions of two model equations for long waves. Zbl 0534.76024
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
19
1983
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
18
2015
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
17
2002
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.
16
1991
An analysis of quadrature errors in second-kind boundary integral methods. Zbl 0695.65067
Johnson, Claes G. L.; Scott, L. Ridgway
15
1989
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
15
1992
Variational formulation of a model free-boundary problem. Zbl 0743.65097
Saavedra, Patricia; Scott, L. Ridgway
11
1991
Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022
Pritchard, W. G.; Scott, L. R.; Taverner, S. J.
10
1992
A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. Zbl 1472.65155
Farrell, Patrick E.; Mitchell, Lawrence; Scott, L. Ridgway; Wechsung, Florian
10
2021
Optimizing the evaluation of finite element matrices. Zbl 1091.65114
Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway
8
2005
Towards a unified finite element method for the Stokes equations. Zbl 1386.76103
Morgan, Hannah; Scott, L. Ridgway
7
2018
A fast solver for a nonlocal dielectric continuum model. Zbl 1260.78016
Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway
7
2012
Stability of the finite element Stokes projection in \(W^{1,\infty}\). Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
6
2004
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
6
2013
On the reconstruction of countable forests. Zbl 0242.05101
Harary, Frank; Schwenk, A. J.; Scott, R. L.
6
1972
Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003
Dupont, Todd; Scott, Ridgway
6
1978
Scientific parallel computing. Zbl 1067.68074
Scott, L. Ridgway; Clark, Terry; Bagheri, Babak
5
2005
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
5
2010
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
5
1987
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
5
1994
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
4
2001
Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent. Zbl 1287.35092
Xie, Dexuan; Jiang, Yi; Scott, L. Ridgway
4
2013
Topological optimization of the evaluation of finite element matrices. Zbl 1104.65324
Kirby, Robert C.; Logg, Anders; Scott, L. Ridgway; Terrel, Andy R.
4
2006
Cubic Lagrange elements satisfying exact incompressibility. Zbl 1416.76109
Guzmán, Johnny; Scott, L. Ridgway
4
2018
A finite element method for problems in perfect plasticity using discontinuous trial functions. Zbl 0572.73076
Johnson, C.; Scott, R.
3
1981
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
3
2002
The hole-pressure problem. Zbl 0718.76022
Lodge, A. S.; Pritchard, W. G.; Scott, L. R.
2
1991
Optimal maximum norm error estimates for some finite element methods for treating the Dirichlet problem. Zbl 0541.65071
Goldstein, C. I.; Scott, L. R.
2
1983
Van der Waals interactions between two hydrogen atoms: the Slater-Kirkwood method revisited. Zbl 1386.35363
Cancès, Eric; Scott, L. Ridgway
2
2018
A sharp form of the Sobolev trace theorems. Zbl 0382.46019
Scott, Ridgway
2
1977
Numerical analysis. Zbl 1231.65002
Scott, L. Ridgway
2
2011
A mathematical approach to protein biophysics. Zbl 1390.92003
Scott, L. Ridgway; Fernández, Ariel
2
2017
Efficient methods for data smoothing. Zbl 0678.65008
Scott, Larkin B.; Scott, L. Ridgway
2
1989
Applications of Banach space interpolation to finite element theory. Zbl 0412.65052
Scott, Ridgway
1
1979
Random advection of chemically reacting species. Zbl 0427.76076
Meyers, Ronald E.; O’Brien, Edward E.; Scott, L. Ridgway
1
1978
\(C^1\) continuity via constraints for 4th order problems. Zbl 0337.65059
Scott, Ridgway
1
1974
The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078
Dupont, Todd F.; Scott, L. Ridgway
1
2013
Geometric optimization of the evaluation of finite element matrices. Zbl 1137.65059
Kirby, Robert C.; Scott, L. Ridgway
1
2007
Automated FEM discretizations for the Stokes equation. Zbl 1143.76037
Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C.
1
2008
On Oldroyd models without explicit dissipation. Zbl 1448.76019
Girault, V.; Scott, L. Ridgway
1
2018
Parallel linear stationary iterative methods. Zbl 0961.65032
Scott, L. Ridgway; Xie, Dexuan
1
2000
Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations. Zbl 0995.92019
Xie, Dexuan; Scott, L. Ridgway; Schlick, Tamar
1
2000
Parallel molecular dynamics. Zbl 0789.92011
Clark, Terry W.; McCammon, J. Andrew; Scott, L. Ridgway
1
1992
Numerical considerations in the computation of the electrostatic free energy of interaction within the Poisson-Boltzmann theory. Zbl 0905.65119
Micu, Alexandru M.; Bagheri, Babak; Ilin, Andrew V.; Scott, L. Ridgway; Pettitt, B. Montgomery
1
1997
A fluid particle motion simulation method. Zbl 0920.76051
Tornberg, Anna-Karin; Metcalfe, Ralph W.; Scott, Ridgway; Bagheri, Babak
1
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
1
1998
The electrostatic potential of periodic crystals. Zbl 1470.40010
Rauch, Jeffrey; Scott, L. Ridgway
1
2021
Nitsche’s method for Navier-Stokes equations with slip boundary conditions. Zbl 1489.65158
Gjerde, Ingeborg G.; Scott, L. Ridgway
1
2022
Nitsche’s method for Navier-Stokes equations with slip boundary conditions. Zbl 1489.65158
Gjerde, Ingeborg G.; Scott, L. Ridgway
1
2022
A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. Zbl 1472.65155
Farrell, Patrick E.; Mitchell, Lawrence; Scott, L. Ridgway; Wechsung, Florian
10
2021
The electrostatic potential of periodic crystals. Zbl 1470.40010
Rauch, Jeffrey; Scott, L. Ridgway
1
2021
The Scott-Vogelius finite elements revisited. Zbl 1405.65150
Guzmán, Johnny; Scott, L. Ridgway
29
2019
Towards a unified finite element method for the Stokes equations. Zbl 1386.76103
Morgan, Hannah; Scott, L. Ridgway
7
2018
Cubic Lagrange elements satisfying exact incompressibility. Zbl 1416.76109
Guzmán, Johnny; Scott, L. Ridgway
4
2018
Van der Waals interactions between two hydrogen atoms: the Slater-Kirkwood method revisited. Zbl 1386.35363
Cancès, Eric; Scott, L. Ridgway
2
2018
On Oldroyd models without explicit dissipation. Zbl 1448.76019
Girault, V.; Scott, L. Ridgway
1
2018
A mathematical approach to protein biophysics. Zbl 1390.92003
Scott, L. Ridgway; Fernández, Ariel
2
2017
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
18
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
6
2013
Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent. Zbl 1287.35092
Xie, Dexuan; Jiang, Yi; Scott, L. Ridgway
4
2013
The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078
Dupont, Todd F.; Scott, L. Ridgway
1
2013
A fast solver for a nonlocal dielectric continuum model. Zbl 1260.78016
Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway
7
2012
Numerical analysis. Zbl 1231.65002
Scott, L. Ridgway
2
2011
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
5
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.
1
2008
Geometric optimization of the evaluation of finite element matrices. Zbl 1137.65059
Kirby, Robert C.; Scott, L. Ridgway
1
2007
Topological optimization of the evaluation of finite element matrices. Zbl 1104.65324
Kirby, Robert C.; Logg, Anders; Scott, L. Ridgway; Terrel, Andy R.
4
2006
Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129
Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway
52
2005
Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051
Girault, V.; Nochetto, R. H.; Scott, R.
30
2005
Optimizing the evaluation of finite element matrices. Zbl 1091.65114
Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway
8
2005
Scientific parallel computing. Zbl 1067.68074
Scott, L. Ridgway; Clark, Terry; Bagheri, Babak
5
2005
Stability of the finite element Stokes projection in \(W^{1,\infty}\). Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
6
2004
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
41
2003
The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115
Brenner, Susanne C.; Scott, L. Ridgway
455
2002
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
25
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
17
2002
Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110
Girault, V.; Scott, L. R.
3
2002
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
4
2001
Parallel linear stationary iterative methods. Zbl 0961.65032
Scott, L. Ridgway; Xie, Dexuan
1
2000
Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations. Zbl 0995.92019
Xie, Dexuan; Scott, L. Ridgway; Schlick, Tamar
1
2000
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
24
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
1
1998
Numerical considerations in the computation of the electrostatic free energy of interaction within the Poisson-Boltzmann theory. Zbl 0905.65119
Micu, Alexandru M.; Bagheri, Babak; Ilin, Andrew V.; Scott, L. Ridgway; Pettitt, B. Montgomery
1
1997
A fluid particle motion simulation method. Zbl 0920.76051
Tornberg, Anna-Karin; Metcalfe, Ralph W.; Scott, Ridgway; Bagheri, Babak
1
1997
The mathematical theory of finite element methods. Zbl 0804.65101
Brenner, Susanne C.; Scott, L. Ridgway
942
1994
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
5
1994
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
15
1992
Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022
Pritchard, W. G.; Scott, L. R.; Taverner, S. J.
10
1992
Parallel molecular dynamics. Zbl 0789.92011
Clark, Terry W.; McCammon, J. Andrew; Scott, L. Ridgway
1
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.
16
1991
Variational formulation of a model free-boundary problem. Zbl 0743.65097
Saavedra, Patricia; Scott, L. Ridgway
11
1991
The hole-pressure problem. Zbl 0718.76022
Lodge, A. S.; Pritchard, W. G.; Scott, L. R.
2
1991
Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007
Scott, L. Ridgway; Zhang, Shangyou
666
1990
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
28
1989
An analysis of quadrature errors in second-kind boundary integral methods. Zbl 0695.65067
Johnson, Claes G. L.; Scott, L. Ridgway
15
1989
Efficient methods for data smoothing. Zbl 0678.65008
Scott, Larkin B.; Scott, L. Ridgway
2
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
47
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
5
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.
153
1985
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
Scott, L. R.; Vogelius, M.
43
1985
Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
42
1985
Error bounds for Gaussian quadrature and weighted-\(L^ 1\) polynomial approximation. Zbl 0565.41028
DeVore, Ronald A.; Scott, L. Ridgway
20
1984
A comparison of solutions of two model equations for long waves. Zbl 0534.76024
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
19
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.
2
1983
Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007
Rannacher, Rolf; Scott, Ridgway
154
1982
An evaluation of a model equation for water waves. Zbl 0497.76023
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
104
1981
A finite element method for problems in perfect plasticity using discontinuous trial functions. Zbl 0572.73076
Johnson, C.; Scott, R.
3
1981
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
168
1980
Solitary-wave interaction. Zbl 0425.76019
Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway
50
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
42
1979
Applications of Banach space interpolation to finite element theory. Zbl 0412.65052
Scott, Ridgway
1
1979
Sobolev type inequalities for \(p>0\). Zbl 0399.46031
Calderon, Alberto P.; Scott, Ridgway
31
1978
Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005
Bramble, James H.; Scott, Ridgway
25
1978
Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003
Dupont, Todd; Scott, Ridgway
6
1978
Random advection of chemically reacting species. Zbl 0427.76076
Meyers, Ronald E.; O’Brien, Edward E.; Scott, L. Ridgway
1
1978
A sharp form of the Sobolev trace theorems. Zbl 0382.46019
Scott, Ridgway
2
1977
Optimal \(L^\infty\) estimates for the finite element method on irregular meshes. Zbl 0349.65060
Scott, Ridgway
88
1976
Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032
Bona, Jerry; Scott, Ridgway
67
1976
A nodal basis for \(C^1\) piecewise polynomials of degree \(n\geq 5\). Zbl 0307.65074
Morgan, John; Scott, Ridgway
52
1975
Interpolated boundary conditions in the finite element method. Zbl 0357.65082
Scott, Ridgway
44
1975
\(C^1\) continuity via constraints for 4th order problems. Zbl 0337.65059
Scott, Ridgway
1
1974
Finite element convergence for singular data. Zbl 0255.65037
Scott, Ridgway
40
1973
Approximate boundary conditions in the finite element method. Zbl 0266.73050
Berger, Alan; Scott, Ridgway; Strang, Gilbert
23
1972
On the reconstruction of countable forests. Zbl 0242.05101
Harary, Frank; Schwenk, A. J.; Scott, R. L.
6
1972
all top 5

Cited by 4,235 Authors

72 Brenner, Susanne Cecelia
67 Carstensen, Carsten
46 Zhang, Shangyou
37 Huang, Jianguo
35 Larson, Mats G.
35 Rebholz, Leo G.
34 Nochetto, Ricardo Horacio
33 Girault, Vivette
33 Neilan, Michael
31 Beirão da Veiga, Lourenço
31 Bona, Jerry Lloyd
31 Scott, Larkin Ridgway
29 Yang, Yidu
28 Han, Weimin
27 Chen, Shaochun
25 Gudi, Thirupathi
24 Melenk, Jens Markus
24 Praetorius, Dirk
24 Xie, Hehu
23 Bi, Hai
23 Burman, Erik
23 Gatica, Gabriel N.
23 Huang, Xuehai
23 Zhang, Zhimin
22 Bartels, Sören
22 Feng, Xiaobing
22 Manzini, Gianmarco
22 Xu, Jinchao
21 Badia, Santiago
21 Guzmán, Johnny
21 Hu, Jun
21 Lamichhane, Bishnu Prasad
21 Mao, Shipeng
21 Salgado, Abner J.
20 Di Pietro, Daniele Antonio
20 Duan, Huoyuan
20 Hansbo, Peter
20 Li, Hengguang
20 Otárola, Enrique
19 Mora, David
19 Sinha, Rajen Kumar
19 Vabishchevich, Pëtr Nikolaevich
19 Wu, Haijun
18 Chen, Yanping
18 Schwab, Christoph
18 Wohlmuth, Barbara I.
18 Yang, Suh-Yuh
17 Ainsworth, Mark
17 Hiptmair, Ralf
17 Huang, Yunqing
17 Nicaise, Serge
17 Peterseim, Daniel
17 Shi, Zhongci
17 Yan, Ningning
16 Casas, Eduardo
16 Chen, Long
16 Durán, Ricardo G.
16 Guo, Hailong
16 He, Yinnian
16 Li, Buyang
16 Linke, Alexander
16 Rannacher, Rolf
16 Shi, Dongyang
15 Bacuta, Constantin
15 Bramble, James H.
15 Chen, Jinru
15 Gedicke, Joscha
15 Makridakis, Charalambos G.
15 Vacca, Giuseppe
15 Ye, Xiu
14 Babuška, Ivo
14 Codina, Ramon
14 Hinze, Michael
14 Huang, Qiumei
14 Karkulik, Michael
14 Prohl, Andreas
14 Sayas, Francisco-Javier
14 Vexler, Boris
14 Yang, Danping
13 Apel, Thomas
13 Feischl, Michael
13 Gunzburger, Max D.
13 Ku, Jaeun
13 Leykekhman, Dmitriy
13 Meddahi, Salim
13 Sauter, Stefan A.
13 Sun, Weiwei
13 Wheeler, Mary Fanett
13 Wollner, Winnifried
13 Xie, Dexuan
13 Yang, Min
13 Yuan, Guangwei
13 Zhang, Bingyu
13 Zou, Jun
12 Bi, Chunjia
12 Gastaldi, Lucia
12 Gong, Wei
12 Han, Jiayu
12 Liu, Jiangguo
12 Lube, Gert
...and 4,135 more Authors
all top 5

Cited in 339 Serials

305 Numerische Mathematik
301 Mathematics of Computation
278 Computer Methods in Applied Mechanics and Engineering
248 Journal of Computational and Applied Mathematics
241 Journal of Scientific Computing
203 Computers & Mathematics with Applications
159 SIAM Journal on Numerical Analysis
142 Applied Numerical Mathematics
115 Journal of Computational Physics
111 Applied Mathematics and Computation
111 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
91 Numerical Methods for Partial Differential Equations
91 SIAM Journal on Scientific Computing
60 Calcolo
59 Advances in Computational Mathematics
56 Journal of Mathematical Analysis and Applications
52 Computational Methods in Applied Mathematics
42 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
32 Numerical Functional Analysis and Optimization
30 BIT
29 Journal of Numerical Mathematics
26 Japan Journal of Industrial and Applied Mathematics
25 Mathematical Methods in the Applied Sciences
25 International Journal for Numerical Methods in Engineering
25 International Journal of Computer Mathematics
23 Computational Optimization and Applications
23 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
23 Science China. Mathematics
21 RAIRO. Modélisation Mathématique et Analyse Numérique
21 Applied Mathematics Letters
21 Applications of Mathematics
21 Numerical Algorithms
20 Communications in Computational Physics
16 Journal of Approximation Theory
16 Communications in Numerical Methods in Engineering
16 Computational Geosciences
15 Mathematics and Computers in Simulation
15 Applied Mathematical Modelling
15 International Journal of Numerical Analysis and Modeling
14 Mathematical Problems in Engineering
14 Foundations of Computational Mathematics
14 Advances in Applied Mathematics and Mechanics
13 Journal of Differential Equations
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Multiscale Modeling & Simulation
12 Applicable Analysis
12 Computers and Fluids
12 Journal of Mathematical Physics
12 Numerical Linear Algebra with Applications
12 Computational and Applied Mathematics
12 Abstract and Applied Analysis
11 Computing
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 RAIRO. Analyse Numérique
10 SIAM Journal on Control and Optimization
10 Physica D
10 Discrete and Continuous Dynamical Systems. Series B
9 Journal of Fluid Mechanics
9 Transactions of the American Mathematical Society
9 Journal of Integral Equations and Applications
9 Journal of Applied Mathematics and Computing
9 Mathematical Control and Related Fields
8 Archive for Rational Mechanics and Analysis
8 Journal of Computational Mathematics
8 Computational Mechanics
8 Journal of Nonlinear Science
8 Archives of Computational Methods in Engineering
8 SMAI Journal of Computational Mathematics
7 International Journal for Numerical Methods in Fluids
7 Journal of Functional Analysis
7 Science in China. Series A
7 Engineering Analysis with Boundary Elements
7 Journal of Mathematical Fluid Mechanics
7 Advances in Difference Equations
7 Discrete and Continuous Dynamical Systems. Series S
7 East Asian Journal on Applied Mathematics
7 SIAM/ASA Journal on Uncertainty Quantification
6 Inverse Problems
6 Mathematical Notes
6 Applied Mathematics and Optimization
6 Acta Applicandae Mathematicae
6 Computer Aided Geometric Design
6 Physics of Fluids
6 Discrete and Continuous Dynamical Systems
6 Computing and Visualization in Science
6 Nonlinear Analysis. Real World Applications
6 International Journal of Computational Methods
6 Boundary Value Problems
6 Frontiers of Mathematics in China
6 Molecular Based Mathematical Biology
6 Electronic Research Archive
6 Results in Applied Mathematics
5 Indian Journal of Pure & Applied Mathematics
5 Journal of the Mechanics and Physics of Solids
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
...and 239 more Serials
all top 5

Cited in 50 Fields

3,372 Numerical analysis (65-XX)
2,037 Partial differential equations (35-XX)
1,033 Fluid mechanics (76-XX)
564 Mechanics of deformable solids (74-XX)
266 Calculus of variations and optimal control; optimization (49-XX)
165 Optics, electromagnetic theory (78-XX)
136 Approximations and expansions (41-XX)
77 Probability theory and stochastic processes (60-XX)
74 Biology and other natural sciences (92-XX)
70 Functional analysis (46-XX)
62 Statistical mechanics, structure of matter (82-XX)
55 Real functions (26-XX)
53 Integral equations (45-XX)
48 Operator theory (47-XX)
44 Geophysics (86-XX)
44 Operations research, mathematical programming (90-XX)
43 Dynamical systems and ergodic theory (37-XX)
42 Ordinary differential equations (34-XX)
41 Computer science (68-XX)
37 Classical thermodynamics, heat transfer (80-XX)
36 Harmonic analysis on Euclidean spaces (42-XX)
36 Systems theory; control (93-XX)
34 Potential theory (31-XX)
24 Global analysis, analysis on manifolds (58-XX)
22 Quantum theory (81-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Statistics (62-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Combinatorics (05-XX)
13 Mechanics of particles and systems (70-XX)
12 Information and communication theory, circuits (94-XX)
11 Special functions (33-XX)
10 Differential geometry (53-XX)
6 Functions of a complex variable (30-XX)
5 Mathematical logic and foundations (03-XX)
4 History and biography (01-XX)
4 Difference and functional equations (39-XX)
4 Convex and discrete geometry (52-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Commutative algebra (13-XX)
3 Integral transforms, operational calculus (44-XX)
3 Relativity and gravitational theory (83-XX)
2 Measure and integration (28-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year