DOI10.1137/040609756zbMath1094.76041OpenAlexW2086890357MaRDI QIDQ5700306
Jae-Hong Pyo, Ricardo H. Nochetto
Publication date: 28 October 2005
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/040609756
Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity ⋮
Energy stable finite element method for an electrohydrodynamic model with variable density ⋮
The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations ⋮
A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model ⋮
Modified characteristics projection finite element method for time-dependent conduction-convection problems ⋮
Fully discrete finite element approximation for the stabilized gauge-Uzawa method to solve the Boussinesq equations ⋮
A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method ⋮
Gauge-Uzawa methods for incompressible flows with variable density ⋮
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence ⋮
An Uzawa-type algorithm for the coupled Stokes equations ⋮
A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations ⋮
Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows ⋮
A projection method for the non-stationary incompressible MHD coupled with the heat equations ⋮
Gauge-Uzawa-based, highly efficient decoupled schemes for the diffuse interface model of two-phase magnetohydrodynamic ⋮
Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier–Stokes equations ⋮
On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow ⋮
Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density ⋮
A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations ⋮
On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system ⋮
Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems ⋮
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A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows ⋮
A gauge finite element method for the 2D Navier-Stokes problem ⋮
A consistent projection finite element method for the incompressible MHD equations ⋮
Exponential Time Differencing Gauge Method for Incompressible Viscous Flows ⋮
Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations ⋮
A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations ⋮
Error estimates of mixed finite element methods for time-fractional Navier-Stokes equations ⋮
New Unconditionally Stable Schemes for the Navier-Stokes Equations ⋮
Error estimates for semi-discrete gauge methods for the Navier-Stokes equations ⋮
An incremental pressure correction finite element method for the time-dependent Oldroyd flows ⋮
Error estimates for an operator-splitting method for Navier-Stokes equations: second-order schemes ⋮
A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model ⋮
A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model ⋮
A new efficient fully-decoupled and second-order time-accurate scheme for Cahn-Hilliard phase-field model of three-phase incompressible flow ⋮
The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data ⋮
Error estimate of Gauge-Uzawa methods for incompressible flows with variable density ⋮
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Stabilized Gauge Uzawa scheme for an incompressible micropolar fluid flow ⋮
Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density ⋮
A CLASSIFICATION OF THE SECOND ORDER PROJECTION METHODS TO SOLVE THE NAVIER-STOKES EQUATIONS ⋮
THE STABILITY OF GAUGE-UZAWA METHOD TO SOLVE NANOFLUID ⋮
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions ⋮
Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations ⋮
A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system ⋮
A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity ⋮
On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model ⋮
Efficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesicles ⋮
THE GAUGE-UZAWA FINITE ELEMENT METHOD PART II: THE BOUSSINESQ EQUATIONS ⋮
ERROR ESTIMATES FOR THE FULLY DISCRETE STABILIZED GAUGE-UZAWA METHOD -PART I: THE NAVIER-STOKES EQUATIONS ⋮
The second-order stabilized Gauge-Uzawa method for incompressible flows with variable density ⋮
An optimally accurate second-order time-stepping algorithm for the nonstationary magneto-hydrodynamics equations ⋮
Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity
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