## Scott, Larkin Ridgway

Compute Distance To:
 Author ID: scott.larkin-ridgway Published as: Scott, L. Ridgway; Scott, L. R.; Scott, Ridgway; Scott, Larkin Ridgway; Scott, R.; Scott, R. L. more...less
 Documents Indexed: 100 Publications since 1972, including 6 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 71 Co-Authors with 89 Joint Publications 2,506 Co-Co-Authors
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
all top 5

### Fields

 70 Numerical analysis (65-XX) 39 Partial differential equations (35-XX) 38 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 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Group theory and generalizations (20-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

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
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
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 nodal basis for $$C^1$$ piecewise polynomials of degree $$n\geq 5$$. Zbl 0307.65074
Morgan, John; Scott, Ridgway
1975
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
Interpolated boundary conditions in the finite element method. Zbl 0357.65082
Scott, Ridgway
1975
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
Scott, L. R.; Vogelius, M.
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
1979
Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120
Bona, J. L.; Pritchard, W. G.; Scott, L. R.
1985
A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014
Girault, V.; Scott, L. R.
2003
Finite element convergence for singular data. Zbl 0255.65037
Scott, Ridgway
1973
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
The Scott-Vogelius finite elements revisited. Zbl 1405.65150
Guzmán, Johnny; Scott, L. Ridgway
2019
On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062
Bank, Randolph E.; Scott, L. Ridgway
1989
Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005
Bramble, James H.; Scott, Ridgway
1978
Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129
Girault, V.; Scott, L. R.
2002
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116
Girault, V.; Scott, L. R.
1999
Approximate boundary conditions in the finite element method. Zbl 0266.73050
Berger, Alan; Scott, Ridgway; Strang, Gilbert
1972
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
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087
Girault, V.; Nochetto, R. H.; Scott, L. R.
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
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.
1991
An analysis of quadrature errors in second-kind boundary integral methods. Zbl 0695.65067
Johnson, Claes G. L.; Scott, L. Ridgway
1989
Higher-dimensional nonnested multigrid methods. Zbl 0772.65077
Scott, L. Ridgway; Zhang, Shangyou
1992
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
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
2021
Optimizing the evaluation of finite element matrices. Zbl 1091.65114
Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway
2005
Towards a unified finite element method for the Stokes equations. Zbl 1386.76103
Morgan, Hannah; Scott, L. Ridgway
2018
A fast solver for a nonlocal dielectric continuum model. Zbl 1260.78016
Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway
2012
Stability of the finite element Stokes projection in $$W^{1,\infty}$$. Zbl 1049.65118
Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway
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
2013
On the reconstruction of countable forests. Zbl 0242.05101
Harary, Frank; Schwenk, A. J.; Scott, R. L.
1972
Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003
Dupont, Todd; Scott, Ridgway
1978
Scientific parallel computing. Zbl 1067.68074
Scott, L. Ridgway; Clark, Terry; Bagheri, Babak
2005
On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048
Girault, V.; Scott, L. Ridgway
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
1987
Implementing and using high-order finite element methods. Zbl 0812.76042
Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou
1994
Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033
Girault, Vivette; Scott, Larkin Ridgway
2001
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
Cubic Lagrange elements satisfying exact incompressibility. Zbl 1416.76109
Guzmán, Johnny; Scott, L. Ridgway
2018
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
The hole-pressure problem. Zbl 0718.76022
Lodge, A. S.; Pritchard, W. G.; Scott, L. R.
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.
1983
Van der Waals interactions between two hydrogen atoms: the Slater-Kirkwood method revisited. Zbl 1386.35363
Cancès, Eric; Scott, L. Ridgway
2018
A sharp form of the Sobolev trace theorems. Zbl 0382.46019
Scott, Ridgway
1977
Numerical analysis. Zbl 1231.65002
Scott, L. Ridgway
2011
A mathematical approach to protein biophysics. Zbl 1390.92003
Scott, L. Ridgway; Fernández, Ariel
2017
Efficient methods for data smoothing. Zbl 0678.65008
Scott, Larkin B.; Scott, L. Ridgway
1989
Applications of Banach space interpolation to finite element theory. Zbl 0412.65052
Scott, Ridgway
1979
Random advection of chemically reacting species. Zbl 0427.76076
Meyers, Ronald E.; O’Brien, Edward E.; Scott, L. Ridgway
1978
$$C^1$$ continuity via constraints for 4th order problems. Zbl 0337.65059
Scott, Ridgway
1974
The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078
Dupont, Todd F.; Scott, L. Ridgway
2013
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
On Oldroyd models without explicit dissipation. Zbl 1448.76019
Girault, V.; Scott, L. Ridgway
2018
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
Parallel molecular dynamics. Zbl 0789.92011
Clark, Terry W.; McCammon, J. Andrew; Scott, L. Ridgway
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
1997
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
The electrostatic potential of periodic crystals. Zbl 1470.40010
Rauch, Jeffrey; Scott, L. Ridgway
2021
Nitsche’s method for Navier-Stokes equations with slip boundary conditions. Zbl 1489.65158
Gjerde, Ingeborg G.; Scott, L. Ridgway
2022
Nitsche’s method for Navier-Stokes equations with slip boundary conditions. Zbl 1489.65158
Gjerde, Ingeborg G.; Scott, L. Ridgway
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
2021
The electrostatic potential of periodic crystals. Zbl 1470.40010
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
Van der Waals interactions between two hydrogen atoms: the Slater-Kirkwood method revisited. Zbl 1386.35363
Cancès, Eric; Scott, L. Ridgway
2018
On Oldroyd models without explicit dissipation. Zbl 1448.76019
Girault, V.; 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
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
1997
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
The hole-pressure problem. Zbl 0718.76022
Lodge, A. S.; Pritchard, W. G.; Scott, L. R.
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
Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028
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
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
Random advection of chemically reacting species. Zbl 0427.76076
Meyers, Ronald E.; O&rsquo;Brien, Edward E.; Scott, L. 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
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)