Accession Number : ADA137059

Title :   Development and Application of the P-Version of the Finite Element Method.

Descriptive Note : Interim rept. 30 Sep 82-29 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 sub-domain 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 p-version of the finite element method is a new, important, computationally efficient approach to finite element analysis. It is more robust than the conventional h-version and its rate of convergence, for domains with corners and for other singularity problems, is twice that of the h-version.

Descriptors :   *Finite element analysis, Numerical methods and procedures, Convergence, Polynomials, Convex sets, Bibliographies

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE