An Iterative Substructuring Method for the Discretized Stokes Equations by a Stabilized Finite Element Method

Iterative Substructuring Methods for Indoor Air Flow Simulation

The numerical simulation of turbulent indoor-air flows is performed using iterative substructuring methods. We present a framework for coupling eddyviscosity turbulence models based on the non-stationary, incompressible, nonisothermal Navier-Stokes problem with non-isothermal near-wall models; this approach covers the k/ǫ model with an improved wall function concept. The iterative process requi...

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.

Fast Iterative Solvers for Discrete Stokes Equations

Abstract. We consider saddle point problems that result from the finite element discretization of stationary and instationary Stokes equations. Three efficient iterative solvers for these problems are treated, namely the preconditioned CG method introduced by Bramble and Pasciak, the preconditioned MINRES method and a method due to Bank et al. We give a detailed overview of algorithmic aspects ...

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

Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow

Iterative substructuring methods are introduced and analyzed for saddle point problems with a penalty term. Two examples of saddle point problems are considered: the mixed formulation of the linear elasticity system and the generalized Stokes system in three dimensions. These problems are discretized with spectral element methods. The resulting stiiness matrices are symmetric and indeenite. The...