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An iteration for indefinite and non-symmetric systems and its application to the Navier-Stokes equations

Conference ·
OSTI ID:433391
 [1];  [2]
  1. Oxford Univ. (United Kingdom)
  2. Stanford Univ., CA (United States)

A simple fixed point linearisation of the Navier-Stokes equations leads to the Oseen problem which after appropriate discretisation yields large sparse linear systems with coefficient matrices of the form (A B{sup T} B -C). Here A is non-symmetric but its symmetric part is positive definite, and C is symmetric and positive semi-definite. Such systems arise in other situations. In this talk we will describe and present some analysis for an iteration based on an indefinite and symmetric preconditioner of the form (D B{sup T} B -C).

Research Organization:
Front Range Scientific Computations, Inc., Lakewood, CO (United States)
OSTI ID:
433391
Report Number(s):
CONF-9604167--Vol.1; ON: DE96015306
Country of Publication:
United States
Language:
English