Verification of Goal-Oriented HP-Adaptivity

Abstract

The paper presents calculations for the radiation of a loop antenna wrapped around a metallic cylinder into a conductive medium. The problem has been solved analytically by using Fourier transform and Bessel functions. The evaluation of the analytical solution, involves the use of exponentially scaled Bessel functions, and FFT to evaluate inverse Fourier transform, with all computations done in MATLAB. The analytical solution has been used to validate a goaloriented hp adaptive strategy based on a simultaneous solution of a dual problem, and an hp strategy based on minimizing the projection-based interpolation error of a reference solution.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA437840

Entities

People

  • D. Pardo
  • L. Demkowicz
  • M. Paszynski

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Antennas
  • Bessel Functions
  • Computations
  • Convergence
  • Dynamic Range
  • Electric Fields
  • Electromagnetic Fields
  • Electronic Mail
  • Equations
  • Loop Antennas
  • Materials
  • Radiation
  • Sequences
  • Test And Evaluation
  • Verification

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)