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Identification and reconstruction of a small leak zone in a pipe by a spectral element method
(2006)
This paper deals with the identification of a zone permitting fluid to leak out of a drain. Using the analogy with crack identification by boundary measurements, we give uniqueness and stability results and we propose an ...
Optimal superconvergent one step nodal cubic spline collocation methods
(2006)
We formulate new optimal (fourth) order one step nodal cubic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the respective ...
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems
(2003)
We consider the solution of various boundary value problems for the Helmholtz equation in the unit square using a nodal cubic spline collocation method and modifications of it which produce optimal (fourth-) order ...
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem
(2001)
A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
Modeling 2-D AR processes with various regions of support
(2007)
We show that there exists a causal 2-D linear process in the nonsymmetric half-plane having the same autocorrelations as a noncausal 2-D linear process in the whole-plane
Stress intensity factor computation using the method of fundamental solutions: Mixed-mode problems
(2007)
The method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of ...
A spectral mortar element discretization of the Poisson equation with mixed boundary conditions
(2007)
In this paper, we study a spectral mortar element discretization of the Poisson equation on a square subject to mixed boundary conditions of Dirichlet and Neumann type. We carry out the numerical analysis of the method and ...
Altitude and velocity tracking control for an airbreathing hypersonic cruise vehicle
(2006)
This paper describes an adaptive linear quadratic (ALQ) altitude and velocity tracking control algorithm for the longitudinal model of a generic airbreathing hypersonic flight vehicle hypersonic flight vehicle. The vehicle ...
Position error signal estimation at high sampling rates using data and servo sector measurements
(2002)
Track density in hard disk drives (HDD) is related to the performance characteristics of the HDD servo control system. Higher track density can be achieved by improving the performance characteristics of the servo controller ...
Position error signal estimation at high sampling rates using data and servo sector measurements
(2003)
The sampling rate in most hard disk drives (HDDs) is limited by the number of servo burst sectors that have prewritten position error signal (PES) data and by the spinning speed of the HDD. This paper presents an algorithm ...