Generalized difference methods for a nonlinear Dirichlet problem
SIAM Journal on Numerical Analysis
Some errors estimates for the box method
SIAM Journal on Numerical Analysis
Computer Methods in Applied Mechanics and Engineering
The finite volume element method for diffusion equations on general triangulations
SIAM Journal on Numerical Analysis
Convergence of finite volume schemes for Poisson's equation on nonuniform meshes
SIAM Journal on Numerical Analysis
Analysis and convergence of the MAC scheme. I: The linear problem
SIAM Journal on Numerical Analysis
Piecewise Linear Petrov--Galerkin Error Estimates For The Box Method
SIAM Journal on Numerical Analysis
Analysis and convergence of a covolume method for the generalized Stokes problem
Mathematics of Computation
On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
SIAM Journal on Numerical Analysis
A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
SIAM Journal on Scientific Computing
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
SIAM Journal on Numerical Analysis
Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering 2)
Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering 2)
A postprocessing finite volume element method for time-dependent Stokes equations
Applied Numerical Mathematics
Mathematical and Computer Modelling: An International Journal
Hi-index | 7.29 |
A finite volume method based on stabilized finite element for the two-dimensional stationary Navier-Stokes equations is investigated in this work. A macroelement condition is introduced for constructing the local stabilized formulation for the problem. We obtain the well-posedness of the FVM based on stabilized finite element for the stationary Navier-Stokes equations. Moreover, for quadrilateral and triangular partition, the optimal H^1 error estimate of the finite volume solution u"h and L^2 error estimate for p"h are introduced. Finally, we provide a numerical example to confirm the efficiency of the FVM.