N%-Superconvergence of Finite Element Approximations in the Interior of General Meshes of Triangles

Abstract

In this paper we introduce a new definition of super convergence - the n%-superconvergence, which generalizes the classical idea of superconvergence to general meshes. We show that this new definition can be employed to determine the regions of least error in any element in the interior of any grid by using a computer-based approach. We present numerical results for the standard displacement finite element method for the scalar equation of orthotropic heat- conduction. The results demonstrate that n% superconvergence is applicable to the complex grids which are employed in practical engineering computations.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1993
Accession Number
ADA279903

Entities

People

  • C. S. Upadhyay
  • Ivo Babuška
  • T. Strouboulis

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Geometry
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Physical Sciences
  • Polynomials
  • Sampling
  • Thermal Conductivity
  • Universities

Fields of Study

  • Physics

Readers

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