Accession Number : ADA219890

Title :   Dimensional Reduction for Nonlinear Boundary Value Problems,

Corporate Author : MARYLAND UNIV BALTIMORE DEPT OF MATHEMATICS

Personal Author(s) : Jensen, Soren ; Babuska, Ivo

Report Date : JUN 1988

Pagination or Media Count : 26

Abstract : The theoretical and computational aspects of a numerical method for solving a class of strongly nonlinear boundary value problems with applications to nonlinear elastostatics are presented. The basic idea is solving the Galerkin system of equations in one dimension less than that of the original problem by choosing a priori a basis of functions in one of the variables. This choice of basis functions is made by ways of asymptotic expansions and is proven to be independent of the asymptotic range of the loads considered. Convergence estimates for this method are presented and are proven to be (quasi-) optimal. Keywords: Dimensional reduction; Antiplane shear; Plastic torsion; Nonlinear divergence form monotone operators; Galerkin methods; Models of mechanics; Reprints. (JHD)

Descriptors :   *BOUNDARY VALUE PROBLEMS, *NONLINEAR SYSTEMS, *NUMERICAL METHODS AND PROCEDURES, ASYMPTOTIC SERIES, CONVERGENCE, ELASTIC PROPERTIES, ESTIMATES, MECHANICS, MATHEMATICAL MODELS, PLASTICS, REDUCTION, REPRINTS, SHEAR PROPERTIES, SIZES(DIMENSIONS), TORSION, VARIABLES.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE