Explicit Chebychev-Iterative Solution of Nonself-Adjoint Elliptic Equations on a Vector Computer.
Abstract
The Chebychev explicit method can be extended to nonsymmetric matrices L whose complex eigenvalues lie with an ellipse of a particular type in the complex plane. The vectorizability of the method results in high execution efficiency on a pipeline computer. The method is derived with its convergence rate, and given a comparison with an ADI solution. The comparison is taken from a 2D plasma turbulence code, in which L = del squared + A(x,y) dot del. The explicit method is approximately 3 times more efficient than ADI for the model problem solved on a two-pipe ASC. The method has been used successfully on meshes of 34 x 34, 50 x 50, and 130 x 130 points.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1977
- Accession Number
- ADA043549
Entities
People
- B. E. Mcdonald
Organizations
- United States Naval Research Laboratory