The Theory and Practice of the h-p Version of Finite Element Method.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1987
- Accession Number
- ADA183656
Entities
People
- Ben Q. Guo
- Ivo Babuška
Organizations
- University of Maryland