
Accession Number : ADA141117
Title : Conforming Finite Element Methods for Incompressible and Nearly Incompressible Continua.
Descriptive Note : Technical note,
Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY
Personal Author(s) : Scott,L R ; Vogelius,M
PDF Url : ADA141117
Report Date : Mar 1984
Pagination or Media Count : 44
Abstract : Interest here is in finite element discretizations of problems involving an incompressibility condition. As model problems we consider the Stokes equations for the flow of a viscous, incompressible fluid and the equations of linear planestrain elasticity for the deformation of an isotropic, nearly incompressible solid. In both cases the incompressibility condition takes the form of a divergence constraint. Although this is the most simple formulation, the proper understanding of how an approximate method satisfies the constraint represents an important step towards the understanding of more complicated situations, involving e.g. the NavierStokes equations or the equations of nonlinear elasticity. The finite element methods we study have the property that the approximations to the velocities, respectively to the displacements, are continuous; such methods are generally referred to as conforming.
Descriptors : *Finite element analysis, Incompressible flow, Solids, Viscous flow, Navier Stokes equations, Elastic properties, Plastic deformation, Equations of motion
Subject Categories : Numerical Mathematics
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE