A Fully Sinc-Galerkin Method for Euler-Bernoulli Beam Models

Abstract

A fully Sinc-Galerkin method in both space and time is presented for fourth-order time-dependent partial differential equations with fixed and cantilever boundary conditions. The Sinc discretizations for the second-order temporal problem and the fourth-order problems are given which prove to be especially useful when applying the forward techniques of this paper to parameter recovery problems. The discrete system which corresponds to the time- dependent partial differential equations of interest are then formulated. Computational issues are discussed and a robust and efficient algorithm for solving the resulting matrix system is outlined. Numerical results which highlight the method are given for problems with both analytic and singular solutions as well as fixed and cantilever boundary conditions. (KR)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1990
Accession Number
ADA229137

Entities

People

  • J. Lund
  • K. L. Bowers
  • R. C. Smith

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Computers
  • Convergence
  • Differential Equations
  • Engineering
  • Equations
  • Error Analysis
  • Errors
  • Galerkin Method
  • Guarantees
  • Integrals
  • Notation
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space