The deflation accelerated schwarz method for CFD
conference paper
Accurate simulation of glass melting furnaces requires the solution of very large linear algebraic systems of equations. To solve these equations efficiently a Schwarz domain decomposition (multi-block) method can be used. However, it can be observed that the convergence of the Schwarz method deteriorates when a large number of subdomains is used. This is due to small eigenvalues arising from the domain decomposition which slow down the convergence. Recently, a deflation approach was proposed to solve this problem using constant approximate eigenvectors. This paper generalizes this view to piecewise linear vectors and results for two CFD problems are presented. It can be observed that the number of iterations and wall clock time decrease considerably. The reason for this is that the norm of the initial residual is much smaller and the rate of convergence is higher.
Topics
TNO Identifier
238721
ISSN
03029743
Source title
5th International Conference on Computational Science, ICCS 2005, 22-25 May 2005, Atlanta, GA, USA
Editor(s)
Sunderam, V.S.
Albada, G.D.
Sloot, P.M.A.
Dongarra, J.J.
Albada, G.D.
Sloot, P.M.A.
Dongarra, J.J.
Pages
868-875
Files
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