Eta%-Superconvergence in the Interior of Locally Refined Meshes of Quadrilaterals: Superconvergence of the Gradient in Finite Element Solutions of Laplace's and Poisson's Equations

Abstract

This paper is the third in a series in which we study the superconvergence of finite element solutions by a computer-based approach. We studied classical superconvergence and we introduced the new concept of eta%- superconvergence and showed that it can be employed to determine regions of least-error for the derivatives of the finite element solution in the interior of any grid of triangular elements. Here we use the same ideas to study the superconvergence of the derivatives of the finite element solution in the interior of complex grids of quadrilaterals of the type used in practical computations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA277242

Entities

People

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

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computations
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Estimators
  • Finite Element Analysis
  • Geometry
  • Materials
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Physical Sciences
  • Sequences
  • Topology
  • Universities

Fields of Study

  • Physics

Readers

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