Numerical Treatment of Vertex Singularities and Intensity Factors for Mixed Boundary Value Problems for the Laplace Equation in R3

Abstract

A numerical method for the computation of the singular behavior of the solution of the Laplace equation is proposed in this paper. It is shown that the accuracy of the computed stress intensity factor by the h, p and h-p versions of the finite element method has the same order as the square of the error of the solution measured in the energy norm. Numerical examples are given

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1992
Accession Number
ADA260107

Entities

People

  • B. Andersson
  • Ivo Babuška
  • T. Von Petersdorff

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Errors
  • Finite Element Analysis
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Physical Sciences
  • Stress Intensity Factors
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).