Accession Number:

AD0754948

Title:

Convergence, Accuracy, and Stability of Finite-Element Approximations of a Class of Nonlinear Hyperbolic Equations.

Descriptive Note:

Research rept.,

Corporate Author:

ALABAMA UNIV HUNTSVILLE RESEARCH INST

Personal Author(s):

Report Date:

1972-08-01

Pagination or Media Count:

23.0

Abstract:

Numerical stability criteria and rates of convergence are derived for finite-element approximations of the nonlinear wave equation u sub tt - F u sub x fx,t, where F u sub x possesses properties generally encountered in nonlinear elasticity. Piecewise linear finite-element approximations in x and central difference approximations in t are studied. Author

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE