Regularity and Numerical Solution of Eigenvalue Problems with Piecewise Analytic Data,

Abstract

This paper discusses the regularity of the eigenfunctions of eigenvalue problems with piecewise analytic data and the approximation of the eigenvalues and eigenfunctions of such problems. A detailed and systematic numerical study of these approximations is presented, together with an analysis of the numerical results in light of the theoretical results. The specific aim is to assess the reliability of the theoretical results - which are of an asymptotic nature - as a guide to practical computations - which may take place in the preasymptotic phase - and to look for characteristic features of the numerical results which are not completely explained by known theoretical results.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1988
Accession Number
ADA194993

Entities

People

  • B. Q. Guo
  • Ivo Babuška
  • J.e. Osborn

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Analytic Functions
  • Boundaries
  • Calculus
  • Calculus Of Variations
  • Convergence
  • Eigenvalues
  • Eigenvectors
  • Errors
  • Finite Element Analysis
  • Galerkin Method
  • Mathematics
  • Numerical Analysis
  • Physical Sciences
  • Self Assembly
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Theoretical Analysis.