The Linear Finite Element Method for a Two-Dimensional Singular Boundary Value Problem.

Abstract

The numerical solution of singular boundary value problems have been studied by several authors. The finite difference methods and its theory for a type of two-dimensional singular boundary value problems are given in (10), (13). The finite element method for axisymmetric elastic solid is proposed in (16). (5), (11), (14) and (20), gives a proof of the convergence of the finite element methods for one dimensional singular problems. (12) proves the 'optimal' order of convergence for the method of (16) provided the loads are axisymmetric and the solution is in C to the k + one power (bar omega). The convergence of the linear finite element method for two dimensional singular Dirichlet problem is proved in (18). (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1982
Accession Number
ADA116247

Entities

People

  • S. Z. Zhou

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axisymmetric
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Contracts
  • Convergence
  • Coordinate Systems
  • Equations
  • Finite Element Analysis
  • Geometry
  • Mathematics
  • North Carolina
  • Numerical Analysis
  • Theorems
  • Two Dimensional
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

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