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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