7 Result(s)
within
Yueqiang Shang
Mathematical and Computational Engineering
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Article
A Parallel Finite Element Discretization Scheme for the Natural Convection Equations
This article presents a parallel finite element discretization scheme for solving numerically the steady natural convection equations, where a fully overlap** domain decomposition technique is used for paral...
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Article
Analysis of a Parallel Grad-Div Stabilized Method for the Navier–Stokes Problem with Friction Boundary Conditions
By combining grad-div stabilization used for improving pressure-robustness and full domain partition used for parallelization, a new parallel finite element method for the steady Navier–Stokes problem with fri...
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Article
A parallel two-grid method based on finite element approximations for the 2D/3D Navier–Stokes equations with dam**
Based on two-grid discretizations, this paper introduces a parallel finite element method for the 2D/3D Navier–Stokes equations with dam**. In this method, we first solve a fully nonlinear problem on a globa...
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Article
A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier–Stokes equations
In this report, we present and study a fully discrete finite element variational multiscale scheme for the unsteady incompressible Navier–Stokes equations where high Reynolds numbers are allowed. The scheme us...
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Article
A three-step Oseen correction method for the steady Navier–Stokes equations
We present and analyze a two-grid scheme based on mixed finite element approximations for the steady incompressible Navier–Stokes equations. This numerical scheme aims at the simulations of high Reynolds numbe...
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Article
A Parallel Subgrid Stabilized Finite Element Method Based on Two-Grid Discretization for Simulation of 2D/3D Steady Incompressible Flows
Based on domain decomposition and two-grid discretization, a parallel subgrid stabilized finite element method for simulation of 2D/3D steady convection dominated incompressible flows is proposed and analyzed....
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Article
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
A combination method of the Newton iteration and parallel finite element algorithm is applied for solving the steady Navier-Stokes equations under the strong uniqueness condition. This algorithm is motivated b...
