Accession Number : ADA266876


Title :   The Mathematics of Finite Elements and Applications


Corporate Author : BRUNEL UNIV UXBRIDGE (UNITED KINGDOM) INST OF COMPUTATIONAL MATHEMATICS


Personal Author(s) : Oden, J T


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a266876.pdf


Report Date : 30 Apr 1993


Pagination or Media Count : 74


Abstract : This paper describes theory and methods for developing a posteriori error estimates and an adaptive strategy for hp-finite element approximations of the incompressible Navier-Stokes equations. For an error estimation, use is made of a new approach which is based on the work of Ainsworth, Wu and the author. That theory has been shown to produce good results for general elliptic systems and general hp-finite element method% Recently, these techniques have been extended to the Navier-Stokes equations A three-step adaptive algorithm is also described which produces reasonable hp meshes very efficiently. These techniques are applied to representative transient and steady state problems of incompressible viscous flow.


Descriptors :   *FINITE ELEMENT ANALYSIS , *APPLIED MATHEMATICS , SYMPOSIA , REPORTS , NAVIER STOKES EQUATIONS , COMPUTATIONAL FLUID DYNAMICS , ESTIMATES , ERRORS


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE