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
Distribution Statement : APPROVED FOR PUBLIC RELEASE