A Stabilized Two Levels Iterative Finite Element Method for the Transient Navier–Stokes Equations

Characteristic stabilized finite element method for the transient Navier–Stokes equations

Article history: Received 29 January 2010 Accepted 8 June 2010 Available online xxxx

Stabilized Finite Element Methods with Fast Iterative Solution Algorithms for the Stokes Problem

Preconditioned iterations for the linearized Navier–Stokes system in rotation form

The paper studies a performance of a preconditioned iterative method applied to solve the linearized Navier–Stokes system. We try BiCGstab algorithm and discretized the problem by a stabilized finite element method. Essential for building a good preconditioner is the rotation form of the original PDE system. Numerical results demonstrate the robustness of the method.

Analysis of a Stabilized Finite Volume Method for the Transient Stokes Equations

This paper is concerned with the development and study of a stabilized finite volume method for the transient Stokes problem in two and three dimensions. The stabilization is based on two local Gauss integrals and is parameter-free. The analysis is based on a relationship between this new finite volume method and a stabilized finite element method using the lowest equal-order pair (i.e., the P1...

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...