Edit Profile (opens in new tab) Scott, Larkin Ridgway Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1135.65042Brenner, Susanne C.; Scott, L. Ridgway 1,266 2008 The mathematical theory of finite element methods. Zbl 0804.65101Brenner, Susanne C.; Scott, L. Ridgway 942 1994 Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007Scott, L. Ridgway; Zhang, Shangyou 666 1990 The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115Brenner, Susanne C.; Scott, L. Ridgway 455 2002 Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009Dupont, Todd; Scott, Ridgway 168 1980 Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007Rannacher, Rolf; Scott, Ridgway 154 1982 Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Zbl 0608.65013Scott, L. R.; Vogelius, M. 153 1985 An evaluation of a model equation for water waves. Zbl 0497.76023Bona, J. L.; Pritchard, W. G.; Scott, L. R. 104 1981 Optimal \(L^\infty\) estimates for the finite element method on irregular meshes. Zbl 0349.65060Scott, Ridgway 88 1976 Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032Bona, Jerry; Scott, Ridgway 67 1976 Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway 52 2005 A nodal basis for \(C^1\) piecewise polynomials of degree \(n\geq 5\). Zbl 0307.65074Morgan, John; Scott, Ridgway 52 1975 Solitary-wave interaction. Zbl 0425.76019Bona, Jerry L.; Pritchard, W. G.; Scott, L. Ridgway 50 1980 Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208Arnold, Douglas N.; Scott, L. Ridgway; Vogelius, Michael 47 1988 Interpolated boundary conditions in the finite element method. Zbl 0357.65082Scott, Ridgway 44 1975 Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028Scott, 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 0419.65068Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 42 1979 Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120Bona, J. L.; Pritchard, W. G.; Scott, L. R. 42 1985 A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014Girault, V.; Scott, L. R. 41 2003 Finite element convergence for singular data. Zbl 0255.65037Scott, Ridgway 40 1973 Sobolev type inequalities for \(p>0\). Zbl 0399.46031Calderon, Alberto P.; Scott, Ridgway 31 1978 Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051Girault, V.; Nochetto, R. H.; Scott, R. 30 2005 The Scott-Vogelius finite elements revisited. Zbl 1405.65150Guzmán, Johnny; Scott, L. Ridgway 29 2019 On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062Bank, Randolph E.; Scott, L. Ridgway 28 1989 Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005Bramble, James H.; Scott, Ridgway 25 1978 Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129Girault, V.; Scott, L. R. 25 2002 Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116Girault, V.; Scott, L. R. 24 1999 Approximate boundary conditions in the finite element method. Zbl 0266.73050Berger, Alan; Scott, Ridgway; Strang, Gilbert 23 1972 Error bounds for Gaussian quadrature and weighted-\(L^ 1\) polynomial approximation. Zbl 0565.41028DeVore, Ronald A.; Scott, L. Ridgway 20 1984 A comparison of solutions of two model equations for long waves. Zbl 0534.76024Bona, J. L.; Pritchard, W. G.; Scott, L. R. 19 1983 Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087Girault, V.; Nochetto, R. H.; Scott, L. R. 18 2015 A reduction technique for natural gas transmission network optimization problems. Zbl 1028.90501Ríos-Mercado, Roger Z.; Wu, Suming; Scott, L. Ridgway; Boyd, E. Andrew 17 2002 Implicit spectral methods for wave propagation problems. Zbl 0746.65075Wineberg, 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 0695.65067Johnson, Claes G. L.; Scott, L. Ridgway 15 1989 Higher-dimensional nonnested multigrid methods. Zbl 0772.65077Scott, L. Ridgway; Zhang, Shangyou 15 1992 Variational formulation of a model free-boundary problem. Zbl 0743.65097Saavedra, Patricia; Scott, L. Ridgway 11 1991 Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022Pritchard, 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 1472.65155Farrell, Patrick E.; Mitchell, Lawrence; Scott, L. Ridgway; Wechsung, Florian 10 2021 Optimizing the evaluation of finite element matrices. Zbl 1091.65114Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway 8 2005 Towards a unified finite element method for the Stokes equations. Zbl 1386.76103Morgan, Hannah; Scott, L. Ridgway 7 2018 A fast solver for a nonlocal dielectric continuum model. Zbl 1260.78016Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway 7 2012 Stability of the finite element Stokes projection in \(W^{1,\infty}\). Zbl 1049.65118Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway 6 2004 Unstructured geometric multigrid in two and three dimensions on complex and graded meshes. Zbl 1264.65203Brune, Peter R.; Knepley, Matthew G.; Scott, Larkin Ridgway 6 2013 On the reconstruction of countable forests. Zbl 0242.05101Harary, Frank; Schwenk, A. J.; Scott, R. L. 6 1972 Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003Dupont, Todd; Scott, Ridgway 6 1978 Scientific parallel computing. Zbl 1067.68074Scott, L. Ridgway; Clark, Terry; Bagheri, Babak 5 2005 On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048Girault, V.; Scott, L. Ridgway 5 2010 Solving Galerkin approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method. Zbl 0645.65043Watson, Layne T.; Scott, L. Ridgway 5 1987 Implementing and using high-order finite element methods. Zbl 0812.76042Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou 5 1994 Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033Girault, Vivette; Scott, Larkin Ridgway 4 2001 Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent. Zbl 1287.35092Xie, Dexuan; Jiang, Yi; Scott, L. Ridgway 4 2013 Topological optimization of the evaluation of finite element matrices. Zbl 1104.65324Kirby, Robert C.; Logg, Anders; Scott, L. Ridgway; Terrel, Andy R. 4 2006 Cubic Lagrange elements satisfying exact incompressibility. Zbl 1416.76109Guzmán, Johnny; Scott, L. Ridgway 4 2018 A finite element method for problems in perfect plasticity using discontinuous trial functions. Zbl 0572.73076Johnson, C.; Scott, R. 3 1981 Upwind discretizations of a steady grade-two fluid model in two dimensions. Zbl 1034.35110Girault, V.; Scott, L. R. 3 2002 The hole-pressure problem. Zbl 0718.76022Lodge, 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 0541.65071Goldstein, C. I.; Scott, L. R. 2 1983 Van der Waals interactions between two hydrogen atoms: the Slater-Kirkwood method revisited. Zbl 1386.35363Cancès, Eric; Scott, L. Ridgway 2 2018 A sharp form of the Sobolev trace theorems. Zbl 0382.46019Scott, Ridgway 2 1977 Numerical analysis. Zbl 1231.65002Scott, L. Ridgway 2 2011 A mathematical approach to protein biophysics. Zbl 1390.92003Scott, L. Ridgway; Fernández, Ariel 2 2017 Efficient methods for data smoothing. Zbl 0678.65008Scott, Larkin B.; Scott, L. Ridgway 2 1989 Applications of Banach space interpolation to finite element theory. Zbl 0412.65052Scott, Ridgway 1 1979 Random advection of chemically reacting species. Zbl 0427.76076Meyers, Ronald E.; O’Brien, Edward E.; Scott, L. Ridgway 1 1978 \(C^1\) continuity via constraints for 4th order problems. Zbl 0337.65059Scott, Ridgway 1 1974 The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078Dupont, Todd F.; Scott, L. Ridgway 1 2013 Geometric optimization of the evaluation of finite element matrices. Zbl 1137.65059Kirby, Robert C.; Scott, L. Ridgway 1 2007 Automated FEM discretizations for the Stokes equation. Zbl 1143.76037Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C. 1 2008 On Oldroyd models without explicit dissipation. Zbl 1448.76019Girault, V.; Scott, L. Ridgway 1 2018 Parallel linear stationary iterative methods. Zbl 0961.65032Scott, L. Ridgway; Xie, Dexuan 1 2000 Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations. Zbl 0995.92019Xie, Dexuan; Scott, L. Ridgway; Schlick, Tamar 1 2000 Parallel molecular dynamics. Zbl 0789.92011Clark, 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 0905.65119Micu, Alexandru M.; Bagheri, Babak; Ilin, Andrew V.; Scott, L. Ridgway; Pettitt, B. Montgomery 1 1997 A fluid particle motion simulation method. Zbl 0920.76051Tornberg, 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 1031.76520Girault, Vivette; Scott, Ridgway 1 1998 The electrostatic potential of periodic crystals. Zbl 1470.40010Rauch, Jeffrey; Scott, L. Ridgway 1 2021 Nitsche’s method for Navier-Stokes equations with slip boundary conditions. Zbl 1489.65158Gjerde, Ingeborg G.; Scott, L. Ridgway 1 2022 Nitsche’s method for Navier-Stokes equations with slip boundary conditions. Zbl 1489.65158Gjerde, Ingeborg G.; Scott, L. Ridgway 1 2022 A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. Zbl 1472.65155Farrell, Patrick E.; Mitchell, Lawrence; Scott, L. Ridgway; Wechsung, Florian 10 2021 The electrostatic potential of periodic crystals. Zbl 1470.40010Rauch, Jeffrey; Scott, L. Ridgway 1 2021 The Scott-Vogelius finite elements revisited. Zbl 1405.65150Guzmán, Johnny; Scott, L. Ridgway 29 2019 Towards a unified finite element method for the Stokes equations. Zbl 1386.76103Morgan, Hannah; Scott, L. Ridgway 7 2018 Cubic Lagrange elements satisfying exact incompressibility. Zbl 1416.76109Guzmán, Johnny; Scott, L. Ridgway 4 2018 Van der Waals interactions between two hydrogen atoms: the Slater-Kirkwood method revisited. Zbl 1386.35363Cancès, Eric; Scott, L. Ridgway 2 2018 On Oldroyd models without explicit dissipation. Zbl 1448.76019Girault, V.; Scott, L. Ridgway 1 2018 A mathematical approach to protein biophysics. Zbl 1390.92003Scott, L. Ridgway; Fernández, Ariel 2 2017 Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Zbl 1401.76087Girault, V.; Nochetto, R. H.; Scott, L. R. 18 2015 Unstructured geometric multigrid in two and three dimensions on complex and graded meshes. Zbl 1264.65203Brune, Peter R.; Knepley, Matthew G.; Scott, Larkin Ridgway 6 2013 Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent. Zbl 1287.35092Xie, Dexuan; Jiang, Yi; Scott, L. Ridgway 4 2013 The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078Dupont, Todd F.; Scott, L. Ridgway 1 2013 A fast solver for a nonlocal dielectric continuum model. Zbl 1260.78016Xie, Dexuan; Jiang, Yi; Brune, Peter; Scott, L. Ridgway 7 2012 Numerical analysis. Zbl 1231.65002Scott, L. Ridgway 2 2011 On a time-dependent transport equation in a Lipschitz domain. Zbl 1217.35048Girault, V.; Scott, L. Ridgway 5 2010 The mathematical theory of finite element methods. 3rd ed. Zbl 1135.65042Brenner, Susanne C.; Scott, L. Ridgway 1,266 2008 Automated FEM discretizations for the Stokes equation. Zbl 1143.76037Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C. 1 2008 Geometric optimization of the evaluation of finite element matrices. Zbl 1137.65059Kirby, Robert C.; Scott, L. Ridgway 1 2007 Topological optimization of the evaluation of finite element matrices. Zbl 1104.65324Kirby, 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 1074.65129Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway 52 2005 Maximum-norm stability of the finite element Stokes projection. Zbl 1210.76051Girault, V.; Nochetto, R. H.; Scott, R. 30 2005 Optimizing the evaluation of finite element matrices. Zbl 1091.65114Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway 8 2005 Scientific parallel computing. Zbl 1067.68074Scott, L. Ridgway; Clark, Terry; Bagheri, Babak 5 2005 Stability of the finite element Stokes projection in \(W^{1,\infty}\). Zbl 1049.65118Girault, Vivette; Nochetto, Ricardo H.; Scott, Ridgway 6 2004 A quasi-local interpolation operator preserving the discrete divergence. Zbl 1072.65014Girault, V.; Scott, L. R. 41 2003 The mathematical theory of finite element methods. 2nd ed. Zbl 1012.65115Brenner, Susanne C.; Scott, L. Ridgway 455 2002 Hermite interpolation of nonsmooth functions preserving boundary conditions. Zbl 1002.65129Girault, V.; Scott, L. R. 25 2002 A reduction technique for natural gas transmission network optimization problems. Zbl 1028.90501Ríos-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 1034.35110Girault, V.; Scott, L. R. 3 2002 Finite element discretizations of a two-dimensional grade-two fluid model. Zbl 1032.76033Girault, Vivette; Scott, Larkin Ridgway 4 2001 Parallel linear stationary iterative methods. Zbl 0961.65032Scott, L. Ridgway; Xie, Dexuan 1 2000 Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations. Zbl 0995.92019Xie, Dexuan; Scott, L. Ridgway; Schlick, Tamar 1 2000 Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition. Zbl 0961.35116Girault, 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 1031.76520Girault, Vivette; Scott, Ridgway 1 1998 Numerical considerations in the computation of the electrostatic free energy of interaction within the Poisson-Boltzmann theory. Zbl 0905.65119Micu, Alexandru M.; Bagheri, Babak; Ilin, Andrew V.; Scott, L. Ridgway; Pettitt, B. Montgomery 1 1997 A fluid particle motion simulation method. Zbl 0920.76051Tornberg, Anna-Karin; Metcalfe, Ralph W.; Scott, Ridgway; Bagheri, Babak 1 1997 The mathematical theory of finite element methods. Zbl 0804.65101Brenner, Susanne C.; Scott, L. Ridgway 942 1994 Implementing and using high-order finite element methods. Zbl 0812.76042Bagheri, Babak; Scott, L. Ridgway; Zhang, Shangyou 5 1994 Higher-dimensional nonnested multigrid methods. Zbl 0772.65077Scott, L. Ridgway; Zhang, Shangyou 15 1992 Numerical and asymptotic methods for certain viscous free-surface flows. Zbl 0806.76022Pritchard, W. G.; Scott, L. R.; Taverner, S. J. 10 1992 Parallel molecular dynamics. Zbl 0789.92011Clark, Terry W.; McCammon, J. Andrew; Scott, L. Ridgway 1 1992 Implicit spectral methods for wave propagation problems. Zbl 0746.65075Wineberg, 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 0743.65097Saavedra, Patricia; Scott, L. Ridgway 11 1991 The hole-pressure problem. Zbl 0718.76022Lodge, A. S.; Pritchard, W. G.; Scott, L. R. 2 1991 Finite element interpolation of nonsmooth functions satisfying boundary conditions. Zbl 0696.65007Scott, L. Ridgway; Zhang, Shangyou 666 1990 On the conditioning of finite element equations with highly refined meshes. Zbl 0688.65062Bank, Randolph E.; Scott, L. Ridgway 28 1989 An analysis of quadrature errors in second-kind boundary integral methods. Zbl 0695.65067Johnson, Claes G. L.; Scott, L. Ridgway 15 1989 Efficient methods for data smoothing. Zbl 0678.65008Scott, Larkin B.; Scott, L. Ridgway 2 1989 Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Zbl 0702.35208Arnold, 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 0645.65043Watson, Layne T.; Scott, L. Ridgway 5 1987 Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Zbl 0608.65013Scott, L. R.; Vogelius, M. 153 1985 Conforming finite element methods for incompressible and nearly incompressible continua. Zbl 0582.76028Scott, L. R.; Vogelius, M. 43 1985 Numerical schemes for a model for nonlinear dispersive waves. Zbl 0578.65120Bona, J. L.; Pritchard, W. G.; Scott, L. R. 42 1985 Error bounds for Gaussian quadrature and weighted-\(L^ 1\) polynomial approximation. Zbl 0565.41028DeVore, Ronald A.; Scott, L. Ridgway 20 1984 A comparison of solutions of two model equations for long waves. Zbl 0534.76024Bona, 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 0541.65071Goldstein, C. I.; Scott, L. R. 2 1983 Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007Rannacher, Rolf; Scott, Ridgway 154 1982 An evaluation of a model equation for water waves. Zbl 0497.76023Bona, J. L.; Pritchard, W. G.; Scott, L. R. 104 1981 A finite element method for problems in perfect plasticity using discontinuous trial functions. Zbl 0572.73076Johnson, C.; Scott, R. 3 1981 Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009Dupont, Todd; Scott, Ridgway 168 1980 Solitary-wave interaction. Zbl 0425.76019Bona, 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 0419.65068Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 42 1979 Applications of Banach space interpolation to finite element theory. Zbl 0412.65052Scott, Ridgway 1 1979 Sobolev type inequalities for \(p>0\). Zbl 0399.46031Calderon, Alberto P.; Scott, Ridgway 31 1978 Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005Bramble, James H.; Scott, Ridgway 25 1978 Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003Dupont, Todd; Scott, Ridgway 6 1978 Random advection of chemically reacting species. Zbl 0427.76076Meyers, Ronald E.; O’Brien, Edward E.; Scott, L. Ridgway 1 1978 A sharp form of the Sobolev trace theorems. Zbl 0382.46019Scott, Ridgway 2 1977 Optimal \(L^\infty\) estimates for the finite element method on irregular meshes. Zbl 0349.65060Scott, Ridgway 88 1976 Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Zbl 0335.35032Bona, Jerry; Scott, Ridgway 67 1976 A nodal basis for \(C^1\) piecewise polynomials of degree \(n\geq 5\). Zbl 0307.65074Morgan, John; Scott, Ridgway 52 1975 Interpolated boundary conditions in the finite element method. Zbl 0357.65082Scott, Ridgway 44 1975 \(C^1\) continuity via constraints for 4th order problems. Zbl 0337.65059Scott, Ridgway 1 1974 Finite element convergence for singular data. Zbl 0255.65037Scott, Ridgway 40 1973 Approximate boundary conditions in the finite element method. Zbl 0266.73050Berger, Alan; Scott, Ridgway; Strang, Gilbert 23 1972 On the reconstruction of countable forests. Zbl 0242.05101Harary, Frank; Schwenk, A. J.; Scott, R. L. 6 1972 all cited Publications top 5 cited Publications 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. 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