Todd F. Dupont
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Todd F. Dupontchemistry Degrees
Chemistry
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Chemical Engineering
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Todd F. Dupontengineering Degrees
Engineering
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Applied Physics
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Chemistry Engineering
Todd F. Dupont's Degrees
- Bachelors Chemical Engineering Stanford University
Why Is Todd F. Dupont Influential?
(Suggest an Edit or Addition)Todd F. Dupont's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Capillary flow as the cause of ring stains from dried liquid drops (1997) (4940)
- Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods (1976) (637)
- Drop formation in a one-dimensional approximation of the Navier–Stokes equation (1992) (508)
- Polynomial approximation of functions in Sobolev spaces (1980) (426)
- An optimal order process for solving finite element equations (1981) (368)
- The hierarchical basis multigrid method (1988) (352)
- Galerkin Methods for Parabolic Equations (1970) (326)
- An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations (1968) (266)
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations (1973) (235)
- A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation (1989) (229)
- Singularities and similarities in interface flows (1994) (169)
- Collocation Methods for Parabolic Equations in a Single Space Variable (1974) (150)
- ALTERNATING-DIRECTION GALERKIN METHODS ON RECTANGLES (1971) (149)
- Sonoluminescing Air Bubbles Rectify Argon (1996) (147)
- The stability inLq of theL2-projection into finite element function spaces (1974) (133)
- Optimal _{∞} error estimates for Galerkin approximations to solutions of two-point boundary value problems (1975) (129)
- Failure of the discrete maximum principle for an elliptic finite element problem (2004) (122)
- A Galerkin method for a nonlinear Dirichlet problem (1975) (105)
- A Priori Estimates for Mixed Finite Element Methods for the Wave Equation (1990) (100)
- Three level Galerkin methods for parabolic equations (1974) (99)
- Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function (2003) (93)
- A finite element collocation method for quasilinear parabolic equations (1973) (89)
- Galerkin Methods for First Order Hyperbolics: An Example (1973) (84)
- Mesh modification for evolution equations (1982) (82)
- A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems (1979) (81)
- Explicit/implicit, conservative domain decomposition procedures for parabolic problems based on block-centered finite differences (1994) (77)
- Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem (1979) (76)
- Galerkin methods for parabolic equations with nonlinear boundary conditions (1973) (74)
- Explicit-/implicit conservative Galerkin domain decomposition procedures for parabolic problems (1992) (70)
- An $L^\infty $ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials (1974) (66)
- A Priori Estimates for Mixed Finite Element Approximations of Second Order Hyperbolic Equations with (1996) (62)
- Analysis Of A Two-Level Scheme For Solving Finite Element Equations (1980) (61)
- Superconvergence for galerkin methods for the two point boundary problem via local projections (1973) (58)
- Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form (1971) (56)
- Back and forth error compensation and correction methods for semi-lagrangian schemes with application to level set interface computations (2006) (52)
- Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections (1972) (47)
- Development and Application of Variational Methods for Simulation of Miscible Displacement in Porous Media (1977) (46)
- A Unified Theory of Superconvergence for Galerkin Methods for Two-Point Boundary Problems (1976) (44)
- A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations (1978) (43)
- A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems (1974) (41)
- Optimal Lœ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems (2010) (37)
- Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion (1998) (37)
- Numerical Solutions of the One-Dimensional Primitive Equations Using Galerkin Approximations With localized Basis Functions (1972) (35)
- A Factorization Procedure for the Solution of Elliptic Difference Equations (1968) (34)
- Symmetric Error Estimates for Moving Mesh Mixed Methods for Advection-Diffusion Equations (2002) (30)
- A Fast, Highly Accurate Means of Modeling Transient Flow in Gas Pipeline Systems by Variational Methods (1974) (25)
- H1-Galerkin Methods for the Laplace and Heat Equations (1974) (25)
- SOME L2 ERROR ESTIMATES FOR PARABOLIC GALERKIN METHODS (1972) (25)
- The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures (1975) (25)
- Three-dimensional effects in shock-cylinder interactions (2008) (24)
- Symmetric Error Estimates for Moving Mesh Galerkin Methods for Advection-Diffusion Equations (2002) (23)
- Convergence of a step-doubling Galerkin method for parabolic problems (1999) (19)
- Constructive polynomial approximation in Sobolev spaces (1978) (18)
- The Application of Variational Methods to Waterflooding Problems (1969) (15)
- Galerkin methods for modeling gas pipelines (1974) (15)
- L2 Error Estimates for Projection Methods for Parabolic Equations in Approximating Domains (1974) (15)
- Optimal order multilevel preconditioners for regularized ill-posed problems (2008) (14)
- Some superconvergence results for an H1 - Galerkin procedure for the heat equation (1973) (13)
- Superconvergence and Postprocessing of Fluxes from Lowest-Order Mixed Methods on Triangles and Tetrahedra (1998) (13)
- Layer formation in monodispersive suspensions and colloids (1996) (12)
- Preconditioned Conjugate Gradient Iteration Applied to Galerkin Methods for a Mildly Nonlinear Dirichlet Problem (1976) (11)
- A time-stepping method for Galerkin approximations for nonlinear parabolic equations (1978) (11)
- The Influence of Spatial Inhomogeneities on Neutral Models of Geographical Variation III. Migration across a Geographical Barrier (1993) (11)
- Local $H^{-1}$ Galerkin and adjoint local $H^{-1}$ Galerkin procedures for elliptic equations (1977) (10)
- Using Optimization In Transient Gas Transmission (2009) (8)
- A Quasi-Projection Approximation Method Applied to Galerkin Procedures for Parabolic and Hyperbolic Equations. (1974) (8)
- Brenner et al. Reply (1998) (8)
- Some Applications of Transient Flow Simulation To Promote Understanding the Performance of Gas Pipeline Systems (1974) (8)
- Loss and Gain of Regularity in a Lubrication Equation for Thin Viscous Films (1993) (7)
- Methods for computational population dynamics (1998) (7)
- Clines with partial panmixia in an environmental pocket. (2014) (6)
- Mollified birth in natural-age-grid Galerkin methods for age-structured biological systems (2009) (6)
- Singularity Formation in Free-Surface Stokes Flows (6)
- The influence of spatial inhomogeneities on neutral models of geographical variation IV. Discontinuities in the population density and migration rate. (1999) (6)
- A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions (2009) (5)
- Mixed Finite Element Methods for Time Dependent Problems: Application to Control (1989) (5)
- Uniqueness and multiplicity of clines in an environmental pocket. (2019) (5)
- Back and Forth Error Compensation and Correction Methods for Semi-Lagranging Schemes with Application to Interface Computation Using Level Set Method (2004) (5)
- Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated (2020) (5)
- The power method for tensor eigenproblems and limiting directions of Newton iterates (2013) (4)
- The end-game for Newton iteration (2010) (4)
- A Galerkin Method for Liquid Pipelines (1976) (3)
- Noniterative Domain Decomposition for Second Order Hyperbolic Problems (1992) (3)
- Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
- Publisher Correction: Capillary flow as the cause of ring stains from dried liquid drops (2021) (3)
- Sonoluminescence: Air bubbles as chemical reaction chambers (1996) (3)
- Optimization of Power Usage In Transient Gas Transmission Lines (1987) (3)
- Some reduced-dimension models based on numerical methods (1998) (3)
- Global error estimates (1974) (2)
- COTT A family of C 1 finite elements with optimal approximation properties for various Galerkin methods for 2 nd and 4 th order problems (2017) (2)
- A New Approach to Gas Control Simulation (2006) (1)
- An analysis of Dendy's piecewise polynomial Petrov-Galerkin method for a hyperbolic equation with stagnation points (1984) (1)
- Simulation of Gas Well Performance by Variational Methods (1970) (1)
- An Explanation to the Phenomenon of Coupled First Order Shift of Conservative Quantities during the Interaction of Captured Discontinuities (2003) (1)
- Analysis of Explicit/Implicit, Block Centered Finite Difference Domain Decomposition Procedures for Parabolic Problems (1991) (1)
- BASED ON BLOCK-CENTERED FINITE DIFFERENCES* (1994) (1)
- The Rate of Convergence of the Modified Method of Characteristics for Linear Advection Equations in One Dimension (2020) (1)
- Superconvergence estimates at the knots (1974) (0)
- How Required Compression Depends On the Thermodynamics of Rich Gas Flow (1992) (0)
- A report to the Department of Energy on studies of complexity in fluid systems (1994) (0)
- Local superconvergence by local refinement (1974) (0)
- On the Existence of an Iterative Method for the Solution of Elliptic Difference Equations with an Improved Work Estimate (2010) (0)
- MULTILEVEL PRECONDITIONERS FOR REGULARIZED ILL-POSED PROBLEMS (2008) (0)
- LARGE FINITE-ELEMENT MODELING OF AXIALLY SYMMETRIC FREE-SURFACE FLOWS (2002) (0)
- FOR SEMI-LAGRANGING SCHEMES WITH APPLICATION TO INTERFACE COMPUTATION USING LEVEL SET METHOD (0)
- Additional Committee Members (2007) (0)
- Mechanisms for Stable Sonoluminescence (1995) (0)
- Layer Formation in Momodispersive Suspensions (1996) (0)
- FEM Software Automation, with a case study on the Stokes Equations (2007) (0)
- Some Investigations into Variable Meshes for Numerical Solution of Partial Differential Equations. (1986) (0)
- LOCAL H** minus **1 GALERKIN AND ADJOINT LOCAL H** minus **1 GALERKIN PROCEDURES FOR ELLIPTIC EQUATION. (1977) (0)
- FLUID-FLUID INTERFACE EXPERIMENTS AT THE UNIVERSITY OF CHICAGO (2002) (0)
- PSIG 1923 Step Doubling for Pipeline Flow (2019) (0)
- Several Procedures for Operator-Based Averaging for Elliptic Equations (1992) (0)
- Step Doubling for Pipeline Flow (2019) (0)
- A smoothed collocation method and applications to eigensystem approximation (1974) (0)
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What Schools Are Affiliated With Todd F. Dupont?
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