Special Finite Element Methods for a Class of Second Order Elliptic Problems wth Rough Coefficients

Abstract

In this paper we consider the approximate solution of a class of second order elliptic equations with rough coefficients. Problem of the type considered arise in the analysis of unidirectional composites, where the coefficients represent the properties of the material. We present several methods for this class of problem, and show that they have the same accuracy as usual methods have for problem with smooth coefficients. We refer to the methods as special finite elements methods because they are of finite element type but employ special shape functions, chosen to effectively model the unknown solution.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA248900

Entities

People

  • Gabriel Caloz
  • Ivo Babuška
  • John E. Osborn

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Boundary Value Problems
  • Composite Materials
  • Coordinate Systems
  • Diameters
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Maryland
  • Materials
  • Military Research
  • Physical Sciences
  • Smoothing (Mathematics)
  • Stability Conditions
  • Standards
  • Two Dimensional
  • Unidirectional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Systems Analysis and Design