Vivette Girault
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Vivette Giraultmathematics Degrees
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Mathematics
Vivette Girault's Degrees
- PhD Applied Mathematics Stanford University
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)Vivette Girault'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
- Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms (1986) (4958)
- Finite Element Approximation of the Navier-Stokes Equations (1979) (1166)
- Vector potentials in three-dimensional non-smooth domains (1998) (819)
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I (1999) (425)
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems (2001) (388)
- Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension (1994) (300)
- DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition (2009) (227)
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems (2004) (225)
- A Local Regularization Operator for Triangular and Quadrilateral Finite Elements (1998) (201)
- Error analysis of a fictitious domain method applied to a Dirichlet problem (1995) (189)
- DIRICHLET AND NEUMANN EXTERIOR PROBLEMS FOR THE n-DIMENSIONAL LAPLACE OPERATOR AN APPROACH IN WEIGHTED SOBOLEV SPACES (1997) (160)
- Weighted Sobolev spaces for Laplace's equation in Rn (1994) (156)
- Two-grid finite-element schemes for the transient Navier-Stokes problem (2001) (132)
- Weak and classical solutions of a family of second grade fluids (1997) (116)
- A quasi-local interpolation operator¶preserving the discrete divergence (2003) (103)
- On the existence and regularity of the solution of Stokes problem in arbitrary dimension (1991) (92)
- Numerical discretization of a Darcy–Forchheimer model (2008) (91)
- Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. (2001) (89)
- Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium (2016) (73)
- A well-posed problem for the exterior Stokes equations in two and three dimensions (1991) (72)
- Mortar multiscale finite element methods for Stokes–Darcy flows (2014) (71)
- Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3 (1988) (70)
- Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in ³ (1988) (67)
- Hermite interpolation of nonsmooth functions preserving boundary conditions (2002) (61)
- A lubrication fracture model in a poro-elastic medium (2015) (61)
- An analysis of a mixed finite element method for the Navier-Stokes equations (1979) (61)
- Maximum-norm stability of the finite element Stokes projection (2005) (60)
- Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition (1999) (54)
- Finite-element error estimates for the MAC scheme (1996) (53)
- Time-dependent coupling of Navier–Stokes and Darcy flows (2013) (52)
- A SPLITTING METHOD USING DISCONTINUOUS GALERKIN FOR THE TRANSIENT INCOMPRESSIBLE NAVIER-STOKES EQUATIONS (2005) (52)
- Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements (2008) (52)
- Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in L1 (2006) (46)
- Theory of a Finite Difference Method on Irregular Networks (1974) (46)
- Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation (1992) (43)
- Pointwise Decay of Solutions and of Higher Derivatives to Navier-Stokes Equations (2000) (42)
- A second order accuracy for a full discretized time-dependent Navier–Stokes equations by a two-grid scheme (2009) (41)
- Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces (2006) (40)
- Max-norm estimates for Stokes and Navier–Stokes approximations in convex polyhedra (2015) (40)
- Mechanics and Mathematics of Fluids of the Differential Type (2016) (37)
- A high order term-by-term stabilization solver for incompressible flow problems (2013) (37)
- Curl-conforming finite element methods for Navier-Stokes equations with non-standard boundary conditions in ℜ3 (1990) (33)
- A Fictitious-Domain Method with Distributed Multiplier for the Stokes Problem (2002) (31)
- Modeling Fractures in a Poro-Elastic Medium (2014) (31)
- The Stokes problem and vector potential operator in three-dimensional exterior domains: an approach in weighted Sobolev spaces (1994) (30)
- DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS (2011) (27)
- A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations (2001) (27)
- Error analysis for a monolithic discretization of coupled Darcy and Stokes problems (2014) (26)
- An Analysis of Upwind Schemes for the Navier–Stokes Equations (1982) (26)
- Finite element methods for Darcy’s problem coupled with the heat equation (2018) (25)
- Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model (2011) (24)
- The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of $\mathbb{R}^3$ (1992) (23)
- A POSTERIORI ANALYSIS OF A PENALTY METHOD AND APPLICATION TO THE STOKES PROBLEM (2003) (23)
- One time‐step finite element discretization of the equation of motion of two‐fluid flows (2006) (22)
- A stream‐function–vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces (1992) (22)
- A priori error estimates for a discretized poro-elastic–elastic system solved by a fixed-stress algorithm (2019) (21)
- Finite element approximation of the Navier-Stockes equations (1979) (20)
- DISCRETIZATION OF AN UNSTEADY FLOW THROUGH A POROUS SOLID MODELED BY DARCY'S EQUATIONS (2008) (20)
- Domain decomposition for linear elasticity with DG jumps and mortars (2009) (18)
- Continuity Properties of the Inf-Sup Constant for the Divergence (2015) (17)
- Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations (2017) (17)
- A combined finite element and Marker and cell method for solving Navier-Stokes equations (1976) (16)
- Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics (2016) (16)
- A fully coupled scheme using virtual element method and finite volume for poroelasticity (2019) (16)
- A finite element problem issued from fictitious domain techniques (2001) (15)
- Discontinuous Galerkin Methods (2008) (15)
- On a time-dependent grade-two fluid model in two dimensions (2007) (15)
- and regularity of the solution of a steady transport equation (2010) (13)
- Finite-element discretizations of a two-dimensional grade-two fluid model (2001) (13)
- A posteriori error estimates for Biot system using Enriched Galerkin for flow (2020) (12)
- A posteriori error estimates for Darcy’s problem coupled with the heat equation (2019) (12)
- Finite element discretization of Darcy's equations with pressure dependent porosity (2010) (11)
- On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media (2013) (11)
- Stability of the finite element Stokes projection in W1 (2004) (11)
- A local projection operator for quadrilateral finite elements (1995) (11)
- A second order accuracy in time for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme (2007) (10)
- Strong convergence of discrete DG solutions of the heat equation (2016) (9)
- Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations (2017) (8)
- Nonelliptic approximation of a class of partial differential equations with Neumann boundary condition (1976) (8)
- Finite element approximation of a strain-limiting elastic model (2018) (8)
- Mixed Formulation of a Linearized Lubrication Fracture Model in a Poro-elastic Medium (2018) (8)
- A stable enriched Galerkin element for the Stokes problem (2018) (7)
- A domain decomposition and mixed method for a linear parabolic boundary value problem (2004) (7)
- A finite element method for degenerate two-phase flow in porous media. Part II: Convergence (2021) (7)
- The stationary navier-stokes equations (1979) (7)
- On a Time-Dependent Transport Equation in a Lipschitz Domain (2010) (7)
- Theory and Approximation of the Navier-Stokes Problem (1986) (7)
- Upwind discretizations of a steady grade-two fluid model in two dimensions (2002) (7)
- Numerical Methods for Grade-Two Fluid Models: Finite-Element Discretizations and Algorithms (2011) (7)
- ON FRIEDRICHS CONSTANT AND HORGAN-PAYNE ANGLE FOR LBB CONDITION (2014) (6)
- A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness (2021) (6)
- Analysis of a Simplified Coupled Fluid-Structure Model for Computational Hemodynamics (2014) (5)
- Analysis of Lavrentiev-finite element methods for data completion problems (2018) (5)
- A Mixed Finite Element Method for the Stationary Stokes Equations (1978) (5)
- Two-grid finite element scheme for the fully discrete time-dependent Navier–Stokes problem (2005) (5)
- A reduced discrete inf-sup condition in Lp for incompressible flows and application (2015) (4)
- Regularized finite element discretizations of a grade‐two fluid model (2005) (4)
- Spectral methods for the Stokes problem in stream-function formulation (1990) (4)
- Full Discretization of Cauchy's Problem by Lavrentiev-Finite Element Method (2022) (3)
- Analysis of an Electroless Plating Problem (2021) (3)
- Mixed approximations of the equations of non-Newtonian fluids of grade three (1988) (3)
- PSI Solution of Convection-Diffusion Equations with Data in L 1 (2008) (2)
- Mathematical Foundation of the Stokes Problem (1986) (2)
- An asymptotic duality between the Oldroyd-Maxwell and grade-two fluid models (2021) (2)
- Wellposedness of some Oldroyd models that lack explicit dissipation (2017) (2)
- Estimates of the finite element Stokes projection in W 1 , ∞ Stabilité dans W 1 , ∞ de la projection de Stokes par éléments finis (2004) (2)
- Convergence of a finite element method for degenerate two-phase flow in porous media (2020) (2)
- A posteriori error estimates for Biot system using a mixed discretization for flow (2022) (1)
- Classical Non-Newtonian Fluids (2016) (1)
- Tanner Duality Between the Oldroyd–Maxwell and Grade-two Fluid Models (2021) (1)
- Uniqueness' failure for the finite element Cauchy-Poisson's problem (2023) (1)
- Variational formulation for nonlinear elliptic equation in a three-dimensional exterior domain (1990) (1)
- Numerical solution of a Laplace equation with data in L1 (2003) (1)
- Numerical Solution of the Stokes Problem in the Primitive Variables (1986) (1)
- Fully Coupled Schemes Using Virtual Element And Finite Volume Discretisations For Biot Equations Modelling (2018) (1)
- A vertex scheme for two-phase flow in heterogeneous media (2021) (0)
- Solutions of a two-dimensional grade-two fluid model with a tangential boundary condition on non-smooth domains (1998) (0)
- Numerical solution of the stokes problem a classical method (1979) (0)
- Analysis of Lavrentiev-finite element methods for data completion problems (2017) (0)
- Numerical analysis for fluids, Part 3. Finite element methods for incompressible viscous flow (2005) (0)
- Circumventing the lack of dissipation in certain Oldroyd models (2017) (0)
- Max-norm estimates for Stokes and Navier–Stokes approximations in convex polyhedra (2015) (0)
- Book Review: Numerical analysis for fluids, Part 3. \emph{Finite element methods for incompressible viscous flow} (2005) (0)
- A stream function-vorticity formulation coupled with boundary integrals for the two-dimensional exterior Stokes problem (1994) (0)
- The time-dependent navier-stokes equations (1979) (0)
- A fictitious domain problem (2001) (0)
- Mortar multiscale finite element methods for Stokes–Darcy flows (2013) (0)
- Finite Element Approximation of Steady Flows of Colloidal Solutions (2021) (0)
- Finite element methods for Darcy’s problem coupled with the heat equation (2017) (0)
- A mixed finite element method for solving the stokes problem (1979) (0)
- A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem (2021) (0)
- Incompressible Mixed Finite Element Methods for Solving the Stokes Problem (1986) (0)
- Short Survey on the Theory of Grade-Three Fluids (2016) (0)
- Grade-Two Fluids: Some Theoretical Results (2016) (0)
- Energy balance of a $2-D$ model for lubricated oil transportation in a pipe (2008) (0)
- Dynamic Mesh Adaptivity and Novel Stopping Criterion Guided by a Posteriori Error Estimates for Coupled Geomechanics Using Mixed Finite Element Method for Flow (2023) (0)
- Finite-element discretization of a linearized 2 − D model for lubricated oil transportation (2004) (0)
- Optimal $$L^2$$ A Priori Error Estimates for the Biot System (2022) (0)
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