Complex Variable Methods for Shape Sensitivity of Finite Element Models (PREPRINT)

Abstract

Complex variable methods have some potential advantages over classical finite differencing methods for sensitivity analysis. Two methods, complex Taylor series expansion and Fourier differentiation, are applied and compared to central differencing for shape sensitivity analysis. A two dimensional finite element model with an analytical solution is chosen for use in comparing the accuracy of the methods. It is found that for the accuracy of the model chosen, the error in the sensitivities is primarily defined by the error in the solution, not the error in the sensitivity method.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
ADA520913

Entities

People

  • Andrew Voorhees
  • Harry Millwater
  • Ronald Bagley

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Air Force Research Laboratories
  • Analytic Functions
  • Complex Variables
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Engineering
  • Equations
  • Errors
  • Finite Element Analysis
  • Fluid Dynamics
  • Geometry
  • Mechanics
  • Numerical Analysis
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)