Accession Number : ADA183656

Title :   The Theory and Practice of the h-p Version of Finite Element Method.

Descriptive Note : Final rept.,

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

Personal Author(s) : Guo,Ben Q ; Babuska,Ivo

PDF Url : ADA183656

Report Date : Apr 1987

Pagination or Media Count : 10

Abstract : There are three versions of finite element method. The classical h-version achieves the accuracy by refining the mesh while using low degrees P of elements, p=1,2 usually. The p-version keep the mesh fixed and the accuracy is achieved by increasing the degree p. The h-p version properly combines both approaches. The h-p version is the new development of finite element method. It was first addressed by Babuska and Dorr ?4 . The further analysis and computation for two dimensional problems were made by Guo, Babuska where the exponential rate of convergence was proved. The one dimensional analysis was given by Guo Babuska. The improvement of the results for curvilinear boundary and curvilinear elements was made by Babuska, Guo. The problem with non-homogeneous Dirichlet data was studied by Babuska, Guo. The h-p version with elements for the problem of 2m order was discussed by Guo. The feedback and adaptive approach was developed by Guo, Babuska and Babuska, Rank. This paper is addressing some theoretical advances and presents numerical illustrations.

Descriptors :   *FINITE ELEMENT ANALYSIS, MESH, LINEARITY, ACCURACY, BOUNDARIES, CONVERGENCE, CURVES(GEOMETRY), EXPONENTIAL FUNCTIONS, NUMERICAL ANALYSIS, ONE DIMENSIONAL, RATES, TWO DIMENSIONAL

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE