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

Abstract

This paper is the first one in the series of three which are addressing in detail the properties of the three basic versions of the finite element method in the one dimensional setting. The main emphasis is placed on the analysis when the (exact) solution has singularity of x sub alpha type. The first part analyzes the p-version, the second the h-version and general h-p version and the final third part addresses the problems of the adaptive h-p version. Additional keywords: Legendre polynomials; Legendre expansion; estimates; Asymptotic behavior; Approximation (mathematics); Analytic functions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1985
Accession Number
ADA156600

Entities

People

  • Ivo Babuška
  • Weihua Gui

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Addressing
  • Analytic Functions
  • Boundary Value Problems
  • Coefficients
  • Complex Variables
  • Convergence
  • Differential Equations
  • Equations
  • Error Analysis
  • Errors
  • Finite Element Analysis
  • Numerical Analysis
  • Partial Differential Equations
  • Polynomials
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)