Hybrid conjugate gradient algorithms
The conjugate gradient algorithm is a standard iterative technique for solving systems of linear and nonlinear equations. This report deals with the development of computationally efficient and more stable variations of the standard conjugate gradient algorithm for problems in which the Jacobian matrix is symmetric and positive definite. Specific applications considered are associated with the solution of finite difference discretizations of elliptic partial differential equations. The applications are in the fields of hydrodynamics and stress analysis; simple numerical examples are given concerning water seepage through a porous earthen dam, the pressure distribution on the lubricant surrounding a journal bearing, and the behavior of the cross section of a rectangular bar under torsion. 3 figures, 9 tables. (RWR)
- Research Organization:
- Stanford Univ., Calif. (USA). Dept. of Computer Science
- DOE Contract Number:
- E(04-3)-326
- OSTI ID:
- 7357906
- Report Number(s):
- SU-326-P30-46
- Resource Relation:
- Other Information: Thesis
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTION
DAMS
EQUATIONS
ITERATIVE METHODS
JOURNAL BEARINGS
LUBRICANTS
NONLINEAR PROBLEMS
STRESSES
TORSION
BEARINGS
MATHEMATICAL LOGIC
990200* - Mathematics & Computers
658000 - Mathematical Physics- (-1987)