- Author : W. Gui
- Publisher :
- Release : 1985
- ISBN :
- Pages : 50 pages
The H P and H p Versions of the Finite Element Method in 1 Dimension Part 3 The Adaptive H p Version
Download or read book The H P and H p Versions of the Finite Element Method in 1 Dimension Part 3 The Adaptive H p Version written by W. Gui and published by . This book was released on 1985 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper is the third and final part in the series of three devoted to the detailed analysis of the three basic versions of the finite element method in one dimension. The first part analyzed the p-version, and the second part concentrated on the h and h-p version. This paper analyzes a theoretical frame of the adaptive h-p version and based on it the authors provide concrete algorithm for the one dimensional problem. It is proven that in the case that the solution has x sub alpha-type singularity, the adaptive algorithm give an exponential rate of convergence, very close to the optimal one analyzed in the second part of the paper. Additional keyword: Error analysis.