Improved Element-Free Galerkin Method for Electromagnetic NDE Model (Preprint)

Abstract

This paper presents improvements made to enhance the Element-Free Galerkin method (EFG) for NDE applications. By using orthogonal basis functions instead of the conventional polynomial basis, the inversion of the ill-conditioned shape function matrix is eliminated. Therefore, the accuracy of the results is improved. Preliminary one-dimensional (1-D) and two-dimensional (2-D) examples are presented to demonstrate the improvement in accuracy and efficiency offered by orthogonal basis functions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2006
Accession Number
ADA476948

Entities

People

  • Jeremy S. Knopp
  • Lalita Udpa
  • Xin Liu
  • Yiming Deng
  • Zhiwei Zeng

Organizations

  • Michigan State University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Air Force Facilities
  • Air Force Research Laboratories
  • Eddy Currents
  • Galerkin Method
  • Geometry
  • Inversion
  • Military Research
  • Polynomials
  • Sizes (Dimensions)
  • Test And Evaluation
  • Three Dimensional
  • Two Dimensional
  • United States

Fields of Study

  • Engineering

Readers

  • Linear Algebra
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Structural Health Monitoring of Composite Structures.