Title page for ETD etd-51198-141950


Type of Document Dissertation
Author Stewart, Dawn L.
Author's Email Address stewartd@icam.vt.edu
URN etd-51198-141950
Title Numerical Methods for Accurate Computation of Design Sensitivities
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Burns, John A. Committee Chair
Borggaard, Jeffrey T. Committee Member
Cliff, Eugene M. Committee Member
Herdman, Terry L. Committee Member
Rossi, John F. Committee Member
Keywords
  • Fluid Flow
  • Finite Element Method
  • Navier-Stokes
  • Partial Differential Equations
  • Local and Global Projections
  • Sensitivity Analysis
Date of Defense 1998-06-10
Availability unrestricted
Abstract
This work is concerned with the development of computational methods for

approximating sensitivities of solutions to boundary value problems.

We focus on the continuous sensitivity equation method and

investigate the application of adaptive meshing and smoothing

projection techniques to enhance the basic scheme. The fundamental

ideas are first developed for a one dimensional problem and then

extended to 2-D flow problems governed by the incompressible

Navier-Stokes equations. Numerical experiments are conducted to test the

algorithms and to investigate the benefits of adaptivity and smoothing.

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