Solution Techniques in Finite Element Analysis.
Rept. for Mar 82-Jan 83,
CALIFORNIA UNIV BERKELEY DEPT OF CIVIL ENGINEERING
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A desirable advantage of iterative methods is that they provide means of controlling the accuracy of the solution. In particular, when low levels of accuracy are required this can result in faster algorithms than the direct methods. The use of the conjugate gradient algorithm to solve the linearized system of equations is considered. A preconditioning matrix based on a splitting method is constructed. The outcome is an algorithm which results in substantial reduction in storage over direct methods. The above method is compared with its rivals on several quite different problems in structural mechanics and favorable results were obtained. Author
- Theoretical Mathematics
- Civil Engineering