Two-Level Stabilized Finite Volume Methods for Stationary Navier-Stokes Equations

A Stabilized Low Order Finite-Volume Method for the Three-Dimensional Stationary Navier-Stokes Equations

This paper proposes and analyzes a stabilized finite-volume method FVM for the threedimensional stationary Navier-Stokes equations approximated by the lowest order finite element pairs. The method studies the new stabilized FVM with the relationship between the stabilized FEM FEM and the stabilized FVM under the assumption of the uniqueness condition. The results have three prominent features i...

Two-level Method Based on Newton Iteration for the Stationary Navier-Stokes Equations

This paper propose and analyze the two-level stabilized finite element method for the stationary Navier-Stokes equations based on Newon iteration. This algorithm involves solving one small, nonlinear coarse mesh with mesh size H and two linear problems on the fine mesh with mesh size h. Based on local Gauss integration and the quadratic equal-order triangular element ,the two-level stabilized m...

The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem

Two-level Penalized Finite Element Methods for the Stationary Navier-stoke Equations

In this article, we first consider some penalized finite element methods for the stationary Navier-stokes equations, based on the finite element space pair (Xh, Mh) which satisfies the discrete inf-sup condition for the P2−P0 element or does not satisfy the discrete inf-sup condition for the P1−P0 element. Then, we consider two-level penalty finite element methods which involve solving one smal...

A Stabilized Characteristic Finite Volume Method for Transient Navier-stokes Equations

In this work, a stabilized characteristic finite volume method for the time-dependent Navier-Stokes equations is investigated based on the lowest equal-order finite element pair. The temporal differentiation and advection term are dealt with by characteristic scheme. Stability of the numerical solution is derived under some regularity assumptions. Optimal error estimates of the velocity and pre...