Performance of the h, p and h-p Versions of the Finite Element Method.
Abstract
There are three basic versions of the finite element method, called the h, p and h-p versions. They are essentially characterized by the way in which the finite element meshes and polynomial degree of elements are chosen. They differ in computer implementation (program architecture) and mathematical analysis. This paper is concerned mainly with the question of how the meshes and polynomial degree of the elements affect the accuracy of finite element solutions. Our approach is to fix certain parameters or their relation and increase the number of degrees of freedom so that the finite element solutions converge to the exact solution. Such a systematic increase of the number of degrees of freedom is called extension because it can be interpreted as a systematic extension of finite element spaces.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1984
- Accession Number
- ADA146940
Entities
People
- B. Szabo
- Ivo Babuška
- Weihua Gui
Organizations
- University of Maryland