A semidirect procedure using a local relaxation factor and its application to an internal flow problem
Abstract
Generally, fast direct solvers are not directly applicable to a nonseparable elliptic partial differential equation. This limitation, however, is circumvented by a semidirect procedure, i.e., an iterative procedure using fast direct solvers. An efficient semidirect procedure which is easy to implement and applicable to a variety of boundary conditions is presented. The current procedure also possesses other highly desirable properties, i.e.: (1) the convergence rate does not decrease with an increase of grid cell aspect ratio, and (2) the convergence rate is estimated using the coefficients of the partial differential equation being solved.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1984
 Bibcode:
 1984STIN...8425946C
 Keywords:

 Fluid Mechanics;
 Partial Differential Equations;
 Relaxation Method (Mathematics);
 Boundary Conditions;
 Boundary Value Problems;
 Flow Stability;
 Matrices (Mathematics);
 Operators (Mathematics);
 Fluid Mechanics and Heat Transfer