Hughes

Since we did not know that we were in NDT we were unaware of others in the field and felt it to be a rather new field, we felt like explorers For us it was new and we carried on for some time blissfully unaware that Prof. Hughes had demonstrated the effect almost 100 years before and Foerster had solved most of the practical problems more than a decade earlier. We only gradually became aware that we were not alone. 

Hughes, D.E. Induction Balance and experimental Researches therewith. Phil. Mag. S5. Vol8, pp50... 

S.A. Jenkins, G. Hughes - Current Enterprise, UK. CERTIFICATION/QUALIFICATION, PERSONNEL... 

Moelwyn-Hughes E A 1957 Physicai Chemistry (New York Pergamon) p 332... 

Marsh R E and Hughes R J 1989 Quadrupole Storage Mass Spectrometry (New York Wiley-Intersolenoe)... 

Hughes J L P and Sipe J E 1996 Caicuiation of second-order opticai response in semiconductors Phys. Rev. B 53 10 751-63... 

Tuckerman M E and Hughes A 1998 Path integral molecular dynamics a computational approach to quantum statistical mechanics Classical and Quantum Dynamics In Condensed Phase Simulations ed B J Berne, G Ciccotti and D F Coker (Singapore World Scientific) pp 311-57... 

Department of Chemistry and Courant Institute of Mathematical Sciences, New York University and The Howard Hughes Medical Institute, 251 Mercer Street, New York, NY 10012, U.S.A. 

Development of weighted residual finite element schemes that can yield stable solutions for hyperbolic partial differential equations has been the subject of a considerable amount of research. The most successful outcome of these attempts is the development of the streamline upwinding technique by Brooks and Hughes (1982). The basic concept in the streamline upwinding is to modify the weighting function in the Galerkin scheme as... 

Theoretical analysis by Hughes and Brooks (1979) has shown that using a value of... 

Brooks, A. N, and Hughes, T. J.R., 1982. Streamline-upwind/Petrov Galerldn formulations for convection dominated hows with particular emphasis on the incompressible Navier -Stokes equations. Cornput. Methods Appl Meek Eng. 32, 199-259. 

Hughes, T. J.R. and Brooks, A.N., 1979, A multidimensional upwind scheme with no cross-wind diffusion. In Hughes, I . J. R. (ed.), Finite Element Methods for Convection Dominated Flows, AMD Vol. 34, ASME, New York. 

Algorithms based on the last approach usually provide more flexible schemes than the other two methods and hence are briefly discussed in here. Hughes et al. (1986) and de Sampaio (1991) developed Petrov-Galerkin schemes based on equal order interpolations of field variables that used specially modified weight functions to generate stable finite element computations in incompressible flow. These schemes are shown to be the special cases of the method described in the following section developed by Zienkiewicz and Wu (1991). 

Donea, J., 1992. Arbitrary Lagrangian-Eulerian finite element methods. In Belytschko, T. and Hughes, T. J. R. (eds), Computational Methods for Transient Analysis, Elsevier Science, Amsterdam. 

Hughes, T. J. R., Franca, L. P. and Balestra, M., 1986. A new finite-element formulation for computational fluid dynamics. 5. Circumventing the Babuska-Brezzi condition - a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal order interpolations. Cornput. Methods Appl. Meek Eng. 59, 85-99. 

Hughes, T.. 1. R, 1987. The Finite Element Method, Prenticc-Hall, Englewood Cliffs N.I,... 

Hughes, E. D., (1959). Theoretical Organic Chemistry. International Union of Pure and Applied Chemistry Section of Organic Chemistry. (The Kekule Symposium.) London Butterworths. 

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