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

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)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1987
Accession Number
ADA182618

Entities

People

  • Kyran D. Mish
  • Leonard R. Herrmann

Organizations

  • University of California, Davis

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Applied Mathematics
  • Boundary Value Problems
  • Civil Engineering
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Construction
  • Equations Of Motion
  • Finite Element Analysis
  • Linear Algebra
  • Mechanics
  • Three Dimensional
  • Transient Response Analysis
  • Two Dimensional
  • Vector Spaces

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.

Technology Areas

  • Space