Type of Document Master's Thesis Author Herdman, Darwin T. URN etd-061199-131530 Title Approximations for Singular Integral Equations Degree Master of Science Department Mathematics Advisory Committee
Advisor Name Title Burns, John A. Committee Chair Borggaard, Jeffrey T. Committee Member Herdman, Terry L. Committee Member Keywords
- Integral Equations
Date of Defense 1999-05-12 Availability restricted AbstractThis work is a numerical study of a class of weakly singular neutral equations. The
motivation for this study is an aeroelastic system. Numerical techniques are developed to
approximate the singular integral equation component appearing in the complete
dynamical model for the elastic motions of a three degree of freedom structure, an airfoil
with trailing edge flap, in a two dimensional unsteady flow. The flap can be viewed as an
active control surface to dampen vibrations that contribute to flutter. The goal of this
work is to provide accurate approximations for weakly singular neutral equations using
finite elements as basis functions for the initial function space. Several examples are
presented in order to validate the numerical scheme.
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