
Accession Number : ADA137059
Title : Development and Application of the PVersion of the Finite Element Method.
Descriptive Note : Interim rept. 30 Sep 8229 Aug 83,
Corporate Author : WASHINGTON UNIV ST LOUIS MO DEPT OF SYSTEMS SCIENCE AND MATHEMATICS
Personal Author(s) : Katz,I N
PDF Url : ADA137059
Report Date : 29 Aug 1983
Pagination or Media Count : 9
Abstract : Two approaches to finite element analysis are now widely recognized in the engineering and mathematical communities. In both approaches the domain omega is divided into simple convex subdomains (usually triangles or rectangles in two dimensions, and tetrahedera or bricks in three dimensions) and over each subdomain the unknown (displacement field) is approximated by a (local) basis function (usually a polynomial of degree p). Basis functions are required to join continuously at boundaries of the subdomains in the case of planar or 3 dimensional elasticity, or smoothly in the case of plate bending. The difference between the two approaches lies in the manner in which convergence is achieved. The pversion of the finite element method is a new, important, computationally efficient approach to finite element analysis. It is more robust than the conventional hversion and its rate of convergence, for domains with corners and for other singularity problems, is twice that of the hversion.
Descriptors : *Finite element analysis, Numerical methods and procedures, Convergence, Polynomials, Convex sets, Bibliographies
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE