Accession Number : ADA116441

Title :   The Finite Element Method for Parabolic Equations. II. A Posteriori Error Estimation and Adaptive Approach.

Descriptive Note : Final rept.,

Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY

Personal Author(s) : Bieterman,M ; Babuska,I

PDF Url : ADA116441

Report Date : Apr 1982

Pagination or Media Count : 73

Abstract : We extend in this paper the analysis of a posteriori estimates of the space discretization error presented in a previous paper (3) for time-independent space meshes. In the context of the model problem studied there, results are given relating the effectivity of the error estimator to properties of the solution, space, meshes, and manner in which the meshes change. A procedure based upon this theory is presented for the adaptive construction of time-dependent meshes. The results of some computational experiments show that this procedure is practically very effective and suggest that it can be used to control the space discretization error in more general problems. (Author)

Descriptors :   *Partial differential equations, *Finite element analysis, Error analysis, Time dependence, Parabolas, Estimates, Modification, Computations, Mesh, Space(Room)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE