×

zbMATH — the first resource for mathematics

Construction of curvilinear co-ordinate systems and applications to mesh generation. (English) Zbl 0271.65062

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65D05 Numerical interpolation
68T10 Pattern recognition, speech recognition
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] The Finite Element Method in Engineering Science, McGraw-Hill. New York, 1971.
[2] Gordon, Numerische Mathematik
[3] and , Methods of Theoretical Physics, Pt. I, McGraw-Hill, New York, 1953.
[4] Zienkiewicz, Int. J. num. Meth. Engng 3 pp 519– (1971)
[5] , , and , ’Isoparametric and associated element families for two- and three-dimensional analysis’, in Finite Element Methods in Stress Analysis, Tapir Press, Trondheim, 1969, Ch. 13.
[6] Ergatoudis, Int. J. Solids Struct. 4 pp 31– (1968)
[7] Gordon, SIAM J. Numer. Anal. 8 pp 158– (1971)
[8] ’Distributive lattices and the approximation of muitivariate functions’, in Approximations with Special Emphasis on Spline Functions, Academic Press, New York, 1969, pp. 223-277.
[9] ’Free-form surface interpolation through curve networks’, Res. Rept. 921, General Motors, Warren, Mich., U.S.A. (1969).
[10] ’Surfaces for computer-aided design of space forms’, Project MAC, Design Div., Dept. Mech. Engng, Mass. Inst. Tech. (1964). Available from: Clearinghouse for Federal Scientific-Technical Information, National Bureau of Standards, Springfield, Va., U.S.A.
[11] and , The Theory of Splines and Their Applications, Academic Press, New York, 1967.
[12] Gordon, J. Math. Mech. 18 pp 931– (1969)
[13] Functions of Several Variables, Addison-Wesley, Reading, Mass., 1965. · Zbl 0136.34301
[14] and , ’Domain mapping via spline-blending and interactive graphics’, Res. Rept, General Motors, Warren, Mich., U.S.A. (In preparation.)
[15] Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1962. · Zbl 0133.08602
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.