An Iterative Method for the Stokes-Type Problem with Variable Viscosity

نویسندگان
چکیده

منابع مشابه

An Iterative Method for the Stokes-Type Problem with Variable Viscosity

The paper concerns with an iterative technique for solving discretized Stokes type equations with varying viscosity coefficient. We build a special block preconditioner for the discrete system of equations and perform an analysis revealing its properties. The subject of this paper is motivated by numerical solution of incompressible non-Newtonian fluid equations. In particular, the general anal...

متن کامل

An E cient Iterative Method for the Generalized Stokes Problem

This paper presents an e cient iterative scheme for the generalized Stokes problem, which arises frequently in the simulation of time-dependent Navier-Stokes equations for incompressible uid ow. The general form of the linear system is A B B 0 ! u p ! = f 0 ! (1) where A = M + T is an n n symmetric positive de nite matrix, in which M is the mass matrix, T is the discrete Laplace operator, and a...

متن کامل

An Efficient Iterative Method for the Generalized Stokes Problem

The generalized Stokes problem, which arises frequently in the simulation of timedependent Navier–Stokes equations for incompressible fluid flow, gives rise to symmetric linear systems of equations. These systems are indefinite due to a set of linear constraints on the velocity, causing difficulty for most preconditioners and iterative methods. This paper presents a novel method to obtain a pre...

متن کامل

A discontinuous skeletal method for the viscosity-dependent Stokes problem

We devise and analyze arbitrary-order nonconforming methods for the discretization of the viscosity-dependent Stokes equations on simplicial meshes. We keep track explicitly of the viscosity and aim at pressure-robust schemes that can deal with the practically relevant case of body forces with large curl-free part in a way that the discrete velocity error is not spoiled by large pressures. The ...

متن کامل

An iterative method for the Hermitian-generalized Hamiltonian solutions to the inverse problem AX=B with a submatrix constraint

In this paper, an iterative method is proposed for solving the matrix inverse problem $AX=B$ for Hermitian-generalized Hamiltonian matrices with a submatrix constraint. By this iterative method, for any initial matrix $A_0$, a solution $A^*$ can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SIAM Journal on Scientific Computing

سال: 2009

ISSN: 1064-8275,1095-7197

DOI: 10.1137/08744803