Type of Document Dissertation Author Stewart, Dawn L. Author's Email Address email@example.com 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
- Partial Differential Equations
- Local and Global Projections
- Sensitivity Analysis
Date of Defense 1998-06-10 Availability unrestricted AbstractThis 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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