Accession Number:

ADA156626

Title:

The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part 3. The Adaptive h-p Version.

Descriptive Note:

Final rept.,

Corporate Author:

MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS

Personal Author(s):

Report Date:

1985-06-01

Pagination or Media Count:

50.0

Abstract:

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE