The Method of Auxiliary Mapping for the Finite Element Solutions of Elasticity Problems Containing Singularities

Abstract

Babuska and Oh have introduced a new approach called the Method of Auxiliary Mapping(MAM), to deal with elliptic boundary value problems with singularities. In this paper this method is extended so that it can handle the plane elasticity problems containing singularities. In order to show the effectiveness, this method is compared with the conventional approach in the framework of the p-version of the finite element method. Moreover, it is demonstrated that this method yields a reasonable solution for those elasticity problems containing strong singularities which even can not be solved by using the h-p version of the finite element method.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1994
Accession Number
ADA285689

Entities

People

  • Hae-soo Oh
  • Ivo M. Babuska

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Government (Foreign)
  • Governments
  • Materials
  • Mathematics
  • Modulus Of Elasticity
  • Numerical Analysis
  • Physical Sciences
  • Stress Strain Relations

Fields of Study

  • Mathematics

Readers

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