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) : Oden,J. T. ; Fost,R. B.

Report Date : AUG 1972

Pagination or Media Count : 23

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) = f(x,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)

Descriptors :   (*ELASTIC SHELLS, *VIBRATION), (*NONLINEAR DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS)), CONTINUUM MECHANICS, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, POLYNOMIALS, NUMERICAL INTEGRATION, NUMERICAL ANALYSIS, STRESSES, RODS

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE