Page 239 - Basic Structured Grid Generation

228 Bibliography

Kreyzig, E. (1968) Differential Geometry, Dover Publications.
Lewis, R.W., Morgan, K., Thomas, H.L. and Seetharamu, K.N. (1996) The Finite Element
Method in Heat Transfer Analysis, John Wiley & Sons Ltd., Chichester, England.
(0,α)
Liao, G. and Liu, H. (1993) Existence and C regularity of a minimum of a functional related
to grid generation problems. Num. Math. PDEs. 9,3.
Liseikin, V.D. (1999) Grid Generation Methods, Springer-Verlag, Berlin, Heidelberg.
Mastin, C.W. (1991) Elliptic grid generation and conformal mapping. In: Castillo, J.E. (ed.)
Mathematical Aspects of Numerical Grid Generation. SIAM, Philadelphia.
Mastin, C.W. and Thompson, J.F. (1984) Quasiconformal mappings and grid generation, SIAM
J. Sci. Stat.Comput., 5, 305–310.
Nehari, Z. (1975) Conformal Mapping, Dover Publications.
Parakash, N. (1981) Differential Geometry, McGraw-Hill, New Delhi.
Rao, S.S. (1982) The Finite Element in Engineering, Pergamon Press, Oxford, England.
Rebay, S. (1993) Efficient unstructured mesh generation by means of Delaunay triangulation
and Bowyer-Watson algorithm. J. Comput. Phys. 106, 125–138.
Roberts, G.O. (1971) Proceedings of the Second International Conference on Numerical Methods
in Fluid Dynamics, Springer, Berlin, Heidelberg.
Ryskin, G. and Leal, L.G. (1983) Orthogonal Mapping. J. Comput. Physics 50, 71–100.
Shenton, D.N. and Cendes, Z.J. (1985) Three-dimensional finite element mesh generation using
Delaunay tessellation. IEEE Trans. Magnetics MAG-21, 2535–2538.
Sloan, S.W. (1987) A fast algorithm for constructing Delaunay triangulations in the plane. Adv.
Eng. Software 9,1.
Spain, B. (1953) Tensor Calculus, Oliver and Boyd, Edinburgh and London.
Steger, J.L. and Chaussee, D.S. (1980) Generation of body fitted co-ordinates using hyperbolic
differential equations. SIAM J. Sci. Stat. Comput. 1(4), 431–437.
Stoker, J.J. (1968) Differential Geometry, Wiley-Interscience.
Struik, D.J. (1950) Lectures on Classical Differential Geometry, Dover Publications.
Taylor, C. and Hughes, T.G. (1981) Finite Element Programming of the Navier-Stokes Equations,
Pineridge Press.
Thompson, J.F., Soni, B.K. and Weatherill, N.P. (eds.) (1999) Handbook of Grid Generation,
CRC Press.
Thompson, J.F., Thames, F.C. and Mastin, C.W. (1974) Automatic numerical generation of
body-fitted curvilinear co-ordinate system for field containing any number of arbitrary two-
dimensional bodies. J. Computat. Phys., 15, 299–319.
Thompson, J.F., Warsi, Z.U.A. and Mastin, C.W. (1985) Numerical Grid Generation: Founda-
tions and Applications, North Holland.
Warsi, Z.U.A. and Thompson, J.F. (1980) A non-iterative method for the generation of two-
dimensional orthogonal curvilinear co-ordinates in a Euclidean space: in Numerical Grid
Generation Techniques NASA CP2166.
Watson, D. (1981) Computing the n-dimensional Delaunay tessellation with applications to
Voronoi polytopes. Comput. J. 24(2), 167–172.
Winslow, A.M. (1967) Equipotential zoning of two-dimensional meshes, J. Computat. Physics,
1, 149–172.