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

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1985
Accession Number
ADA156626

Entities

People

  • Ivo Babuška
  • Weihua Gui

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Algorithms
  • Classification
  • Computations
  • Contracts
  • Error Analysis
  • Errors
  • Estimators
  • Finite Element Analysis
  • Maryland
  • Military Research
  • Numerical Analysis
  • Security
  • Theorems
  • Two Dimensional
  • Universities

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)