Approximation of the Spectrum of Closed Operators, the Determination of Normal Modes of a Rotating Basin.

Abstract

This paper gives a theory of spectral approximation for closed operators in Banach spaces. The perturbation theory developed in this paper is applied to the study of a finite element procedure for approximating the spectral properties of a differential system modeling a fluid in a rotating basin. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1980
Accession Number
ADA086661

Entities

People

  • Jacques Rappaz
  • Jean Descloux
  • Mitchell Luskin

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Continuous Spectra
  • Convergence
  • Differential Equations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Fluids
  • Hilbert Space
  • Inequalities
  • Mathematics
  • Perturbation Theory
  • Perturbations
  • Spectra
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • Space