
Accession Number : ADA195696
Title : Divergence Stability in Connection with the PVersion of the Finite Element Method.
Descriptive Note : Final rept.,
Corporate Author : MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS
Personal Author(s) : Jensen, S ; Vogelius, M
PDF Url : ADA195696
Report Date : Nov 1987
Pagination or Media Count : 29
Abstract : The paper analyzes the divergence stability of the pversion of the finite element method with the applications to the Stokes problem and elasticity problem with nearly uncompressible material. Many problems in continuum mechanics involve an incompressibility condition, usually in the form of a divergence constraint. The numerical discretization of such a constraint presents some interesting problems with regard to stability. As an important example we consider the two dimensional Stokes equations. The lack of divergence stability affects the accuracy of the pressure approximation much more drastically, and a certain postprocessing (filtering) of the pressures may be necessary as p approaches infinity. (jhd)
Descriptors : *FINITE ELEMENT ANALYSIS, ACCURACY, CONTINUUM MECHANICS, ELASTIC PROPERTIES, INCOMPRESSIBILITY, NAVIER STOKES EQUATIONS, PRESSURE, TWO DIMENSIONAL
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE