Accession Number : ADA128261


Title :   An Analysis of a Finite Element Method for Convection-Diffusion Problems. Part II. A Posteriori Error Estimates and Adaptivity.


Descriptive Note : Final rept.,


Corporate Author : MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS


Personal Author(s) : Szymczak,W G ; Babuska,I


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA128261


Report Date : Mar 1983


Pagination or Media Count : 51


Abstract : A posteriori error estimates are derived for the finite element method presented in Part I. These estimates are proven to have the property that the effectivity index theta = (error estimate/true error) converges to one as the maximum mesh size goes to zero. An adaptive mesh refinement strategy is based on equilibriating local error indicators whose sum comprises the global error estimate. Numerical results show that theta is nearly one even on coarse meshes, and that optimal meshes are created by the adaptive procedure. The successful solution of a non linear problem-modelling flow through an expanding duct, makes evident the robustness of the method. (Author)


Descriptors :   *FINITE ELEMENT ANALYSIS , *BOUNDARY VALUE PROBLEMS , MATHEMATICAL MODELS , CONVECTION , ESTIMATES , ERRORS , DIFFUSION , GREENS FUNCTIONS , THEOREMS


Subject Categories : Atmospheric Physics
      Numerical Mathematics
      Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE