Accession Number : ADA116205

Title :   An Analysis of the p-Version of the Finite Element Method for Nearly Incompressible Materials. Uniformly Valid, Optimal Error Estimates.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Vogelius,Michael

PDF Url : ADA116205

Report Date : May 1982

Pagination or Media Count : 2

Abstract : In this paper we analyze the behavior of the so-called p-version of the finite element method when applied to the equations of plane strain linear elasticity. We establish optimal rate error estimates that are uniformly valid, independent of the value of the Poisson ratio, nu, in the interval 0, 1/2. This shows that the p-version does not exhibit the degeneracy phenomenon which has led to the use of various, only partially justified techniques of reduced integration or mixed formulations for more standard finite element schemes and the case of a nearly incompressible material. (Author)

Descriptors :   *Finite element analysis, *Incompressible flow, *Optimization, Poisson ratio, Estimates, Incompressibility, Materials, Elastic properties, Linearity, Mixing, Formulations, Integration, Errors, Ratios

Subject Categories : Numerical Mathematics
      Fluid Mechanics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE