Accession Number : ADA182618

Title :   The Solution of Large Time-Dependent Problems Using Reduced Coordinates.

Descriptive Note : Interim rept. Mar 86-May 87,

Corporate Author : CALIFORNIA UNIV DAVIS DEPT OF CIVIL ENGINEERING

Personal Author(s) : Mish,Kyran D ; Herrmann,Leonard R

PDF Url : ADA182618

Report Date : Jun 1987

Pagination or Media Count : 93

Abstract : This research is concerned with the idea of reducing a large time-dependent problem, such as one obtained from a Finite-Element discretization, down to a more manageable size while preserving the most important physical behavior of the solution. This reduction process is motivated by the concept of a projection operator on a Hilbert Space, and leads to the Lanczos Algorithm for generation of approximate eigenvectors of a large symmetric matrix. The proposed reduced coordinate algorithm is developed, compared to related methods, and applied to some representative problems in mechanics. Conclusions are then drawn, and suggestions made for related future research. (Author)

Descriptors :   *FINITE ELEMENT ANALYSIS, *LINEAR ALGEBRA, ALGORITHMS, HILBERT SPACE, TIME DEPENDENCE, COORDINATES, REDUCTION, EIGENVECTORS, PHYSICAL PROPERTIES, NONLINEAR SYSTEMS, PROJECTIVE TECHNIQUES, SYMMETRY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE