Date of Award
Doctor of Philosophy
Paul E. Sacks
In this thesis we study the problem of recovering the unknown impedance A in the partial differential equation Au[subscript]tt - (Au[subscript]x)[subscript]x = 0, x > 0, t > 0 subject to the boundary condition u[subscript]x(0,t)=-[delta](t) from the measured response u[subscript]t(x,t), 0 < t < 3X at x = X. It is assumed that (UNFORMATTED TABLE OR EQUATION FOLLOWS)\eqalignu = 0, &t < 0 0 < [delta] < A, Aϵ H[superscript]1 & and A[superscript]' = 0, x≥ X. (TABLE/EQUATION ENDS);We present two different iterative methods to recover A from the data u[subscript]t(X,t), 0
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Maheswaran, Thiagarajah, "Recovery of a one dimensional impedance profile from transmission data " (1993). Retrospective Theses and Dissertations. 10169.