Projection Techniques for Iterative Solution of Ax = b with Successive Right-Hand Sides.
Abstract
We present two projection techniques for computing approximate solutions to linear systems of the form Axn = bn, for a sequence n = 1,2,..., e.g., such as arises from time discretization of a partial differential equation. The inexpensive approximate solutions can be used as initial guesses for iterative solution of the system, resulting in significantly reduced computational expense. Examples of two- and three-dimensional incompressible Navier-Stokes calculations are presented in which x represents the pressure, and A is a discrete Poisson operator. In flows containing significant dynamic activity, these projection techniques lead to as much as a two-fold reduction in solution time. Projection techniques, Iterative solvers, Krylov methods, Linear systems, Computational fluid dynamics
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1993
- Accession Number
- ADA275744
Entities
People
- Paul F. Fischer