Preconditioning matrices for the pseudospectral approximation of first-order operatorsThe behavior of the eigenvalues of preconditioning matrices for the pseudospectral approximation to the derivative operator has been analyzed in one and two dimensions. The one-dimensional analysis resulted in real and positive eigenvalues for the selected tridiagonal matrices. In the two-dimensional analysis, the eigenvalues of the selected block-diagonal matrices behaved well, but the preconditioner is full and therefore not suitable for applications. The Richardson scheme has been applied in the unpreconditioned as well as the preconditioned version to find the solution of the model problem.
Document ID
19900031277
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Funaro, D. (Pavia, Universita Italy)
Rothman, E. (Brown University Providence, RI, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Numerical Analysis
Meeting Information
Meeting: International Conference on Finite Element Methods in Flow Problems