Bibliography

The following publications are those referred to directly in the text. A full bibliography is available as electronic supplementary material at http://rsbm.royalsocietypublishing.org

1. Zienkiewicz, O. C. (1947) The stress distribution in gravity dams. J. Inst. Civ. Eng., 27, 244-271.
2. Zienkiewicz, O. C. (1957) Temperature distribution within lubricated films between parallel bearing surfaces and its effect on the pressure developed. Proc. Conf. on Lubrication and Wear, Inst. Mech. Eng., London, 1-3 October, 1-7.
3. Charnes, A., Lemke, C. E. and Zienkiewicz, O. C. (1959) Virtual work, linear programming and elastic limit analysis. Proc. Roy. Soc. A., 251, 110-116.
4. Zienkiewicz, O. C. and Gerstner, R. W. (1961) The method of interface stress adjustments and its uses in the solution of some plane elasticity problems. Int. J. Mech. Sci., 2, 267-276.
5. Zienkiewicz, O. C. (1980) The finite element story. Internal Report No. C/R.317.80, Inst. For Num. Meth. In Eng., University of Wales Swansea.
6. Bazeley, G. P., Cheung, Y. K., Irons, B. M. and Zienkiewicz, O. C. (1965) Triangular elements in plate bending: Conforming and non-conforming solutions. Proc. Conf. on Matrix Methods in Structural Mechanics, (eds. J. S. Przemieniecki, R.M. Bader, W.F., Bozich, J.R. Johnson, and W.J. Mykytow) , Oct. 26-28, 547-576, Report No. AFFDL-TR-66-80, Wright-Patterson AFB, Ohio.
7. Oden, J. T. (2009) Private communication.
8. Zienkiewicz, O. C., Qu, S., Taylor, R. L. and Nakazawa, S. (1986) The patch test for mixed formulation. Int. J. Num. Meth. Engng., 23, 1873-1883.
9. Zienkiewicz, O. C., Taylor, R. L., Papadopoulos, P. and Oñate, E. (1990) Plate bending elements with discrete constraints: A new triangular element. Computers and Structures, 35, 505-522.
10. Oñate, E, Zienkiewicz, O. C., Suarez, B. and Taylor, R. L. (1992) A general methodology for deriving shear constrained Reissner-Mindlin plate elements. Int. J. Num. Meth. Engng., 33, 345-367.
11. Zienkiewicz, O. C. and Cheung, Y. K. (1965) Finite elements in the solution of field problems. The Engineer, September 24, 220, 507-510.
12. Zienkiewicz, O. C. and Parekh, C. J. (1970) Transient field problems:2-dimensional and 3-dimensional analysis by isoparametric finite elements. Int. J. Num. Meth. Engng., 2, 61-81.
13. Zienkiewicz, O. C., Lyness, J. F. and Owen, D. R. J. (1977) Three dimensional magnetic field determination using a scalar potential – a finite element solution. I.E.E.E. Transactions of Magnetics, MAG-13, No. 5, 1649-1656.
14. Zienkiewicz, O. C. (1965) (a) Two dimensional stress analysis and plate flexure by finite differences. Ch. 2, 20-40. (b) Finite element procedure in the solution of plate and shell problems. Ch. 8, 120-144. From Stress Analysis (O. C. Zienkiewicz and G. S. Holister, eds.), John Wiley and Sons.
15. Ergatoudis, I., Irons, B. M. and Zienkiewicz, O. C. (1968) Curved isoparametric quadrilateral elements for finite element analysis. Int. J. Solids Struct., 4, 31-42.
16. Hughes, T. J. R. (2009) Private communication.
17. Ahmad, S., Irons, B. M. and Zienkiewicz, O. C. (1968) Curved thick shell and membrane elements with particular reference to axi-symmetric problems. Proc. Second Conf. on Matrix Methods in Structural Mechanics (eds. R.M. Bader, L. Berke, W.J. Mykytow, J. S. Przemieniecki and M. H. Shirk), October, 1968, 539-572, Report No. AFFDL-TR-68-150, Wright-Patterson AFB, Ohio.
18. Ahmad, S., Irons, B. M. and Zienkiewicz, O. C. (1970) Analysis of thick shell and thin shell structures by curved finite elements. Int. J. Num. Meth. Engng., 2, 419-451.
19. Zienkiewicz, O. C., Taylor, R. L. and Too, J. M. (1971) Reduced integration technique in general analysis of plates and shells. Int. J. Num. Meth. Engng., 3, 275-290.
20. Taylor, R. L. (2009) Private communication.
21. Pugh, E. D. L., Hinton, E. and Zienkiewicz, O. C. (1978) A study of quadrilateral plate bending elements with ‘reduced integration’. Int. J. Num. Meth. Engng., 12, 1059-1079.
22. Zienkiewicz, O. C. and Watson, M. (1966) Some creep effects in stress analysis with particular reference to concrete pressure vessels. J. Nuclear Engng. and Design, 4, 406-412.
23. Zienkiewicz, O. C., Watson, M. and King, I. P. (1968) A numerical method of visco-elastic stress analysis. Int. J. Mech. Sci., 10, 807-827.
24. Zienkiewicz, O. C., Valliappan, S. and King, I. P. (1969) Elasto-plastic solution of engineering problems; initial stress, finite element approach. Int. J. Num. Meth. Engng., 1, 75-100.
25. Zienkiewicz, O. C. and Nayak, G. C. (1973) A general approach to problems of plasticity and large deformation. The Mathematics of Finite Elements and Application, 1-37, (J. Whiteman, ed.), Academic Press.
26. Nayak, G. C. and Zienkiewicz, O. C. (1972) Note on the alpha-constant stiffness method for the analysis of non-linear problems. Int. J. Num. Meth. Engng.,4, 579-582.
27. Nayak, G. C. and Zienkiewicz, O. C. (1972) Convenient form of stress invariants for plasticity. Proc. A.S.C.E., J. of Struct. Div., 98, ST4, 949-953.
28. Nayak, G. C. and Zienkiewicz, O. C. (1972) Elasto-plastic stress analysis: Generalisation for various constitutive relations including strain softening. Int. J. Num. Meth. Engng., 5, 113-135.
29. Zienkiewicz, O. C. and Cormeau, I. C. (1974) Visco-plasticity; plasticity and creep in elastic solids A unified numerical solution approach. Int. J. Num. Meth. Engng., 8, 821-845.
30. Zienkiewicz, O. C. and Godbole, P. N. (1974) Flow of plastic and visco-plastic solids with special reference to extrusion and forming processes. Int. J. Num. Meth. Engng., 8, 3-16.
31. Zienkiewicz, O. C., Humpheson, C. and Lewis, R. W. (1975) Associated and non-associated visco-plasticity and plasticity in soil mechanics. Geotechnique, 25, 671-689.
32. Kanchi, M. B., Zienkiewicz, O. C. and Owen, D. R. J. (1979) The visco-plastic approach to problems of plasticity and creep involving geometric nonlinear effects. Int. J. Num. Meth. Engng., 12,169-181.
33. Zienkiewicz, O. C., Nayak, G. C. and Owen, D. R. J. (1972) Composite and ‘overlay’ models in numerical analysis of elasto-plastic continua. Foundations of Plasticity. (A Sawczuk, ed.), 107-122, Noordhoff Press.
34. Pande, G. N., Owen, D. R. J. and Zienkiewicz, O. C. (1977) Overlay models in time dependent non-linear material analysis. Comp. & Struct. 7, 435-443.
35. Zienkiewicz, O. C. (1975) Why finite elements? Ch.1 in Finite Elements in Fluids (R. H. Gallagher, J. T. Oden and O. C. Zienkiewicz, eds.), Vol. 1, 1-23, John Wiley & Sons.
36. Heinrich, J. C., Huyakorn, P., Mitchell, A. R. and Zienkiewicz, O. C. (1977) An ‘upwind’ finite element scheme for two-dimensional convective transport equation. Int. J. Num. Meth. Engng., 11, 131-143.
37. Zienkiewicz, O. C., Lőhner, R., Morgan, K. and Nakazawa, S. (1984) Finite elements in fluid mechanics – A decade of progress. Finite Elements in Fluids (R. H. Gallagher et al., eds.), 5, Ch. 1, 1-26.
38. Godbole, P. N. and Zienkiewicz, O. C. (1974) Finite element analysis of steady flow of non-Newtonian fluids. Finite Element Methods in Engineering (A. P. Kabaila and V. P. Pulmano, eds.), University of New South Wales, 785-798.
39. Zienkiewicz, O. C. and Cheung, Y. K. (1964) The finite element method for analysis of elastic isotropic and orthotropic slabs. Proc. Inst. Civ. Eng., 28, 471-488.
40. Zienkiewicz, O. C. and Lewis, R. W. (1973) An analysis of various time-stepping schemes for initial value problems. Earthquake Eng. & Struct. Dyn., 1, 407-408.
41. Bettencourt, J. M., Zienkiewicz, O. C. and Cantin, G. (1982) Consistent use of finite elements in time and the performance of various recurrence schemes for the heat diffusion equation. Int. J. Num. Meth. Engng., 17, 931-938.
42. Zienkiewicz, O. C., Wood, W. L. and Taylor, R. L. (1980) An alternative, single step, algorithm for dynamic problems. Earthquake Engng. Struct. Dyn., 8,31-40.
43. Zienkiewicz, O. C. and Naylor, D. J. (1971) The adaptation of critical state soil mechanics for use in finite elements. In Stress–strain behaviour of soils: Proceedings of the Roscoe Memorial Symposium, Cambridge, 29–31 March 1971 (ed. R. H. G. Parry), pp. 537–547. G. T. Foulis & Co., Henley-on-Thames
44. Zienkiewicz, O. C. and Pande, G. N. (1977) Some useful forms of isotropic yield surfaces for soil and rock mechanics. Ch. 5, 179-190. Finite Elements in Geomechanics, (G. Gudehus, ed.), John Wiley and Sons.
45. Zienkiewicz, O. C., Chang, C. T., Hinton, E. and Leung, A. H. (1980) Liquifaction and permanent deformation under dynamic conditions: Numerical solution on constitutive relations. Proc. Int. Symp. on Soils under Cyclic and Transient Loading. (eds: G. N. Pande and O.C. Zienkiewicz), Swansea. January 1980, 71-103, John Wiley & Sons, Chichester.
46. Zienkiewicz, O. C. and Bettess, P. (1975) Infinite elements in the study of fluid-structure interaction problems. Computing Methods in Applied Sciences, Lecture Notes in Physics, Volume 58, pp. 133-172, Springer-Verlag, Berlin.
47. Zienkiewicz, O. C., Kelly, D. W. and Bettess, P. (1977) The Sommerfeld (radiation) condition on infinite domains and its modelling in numerical procedures. Lecture Notes in Mathematics, Volume 703, pp. 169-203, Springer-Verlag, Berlin.
48. Fraeijs de Veubeke, B. and Zienkiewicz, O. C. (1967) Strain energy bounds in finite element analysis by slab analogy. J. Strain Analysis, 2, 265-271.
49. Zienkiewicz, O. C., Kelly, D. W. and Bettess, P. (1977) The coupling of the finite element method and boundary solution procedures. Int. J. Num. Meth. Engng, 11, 355-375.
50. Zienkiewicz, O. C., Kelly, D. W. and Bettess, P. (1980) Marriage a la mode – The best of both worlds (Finite elements and boundary integrals). Ch. 5, 81-107, Energy Methods in Finite Element Analysis (R. Glowinski, E. Y. Rodin and O. C. Zienkiewicz, eds.), John Wiley and Sons.
51. Kelly, D. W., de S. R. Gago, J. P, Zienkiewicz, O. C. and Babuska, I (1983) A-posteriori error analysis and adaptive processes in the finite element method. Part I – Error analysis, Int. J. Num. Meth. Engng., 19, 1593-1619, Part II – Adaptive mesh refinement, Int. J. Num. Meth. Engng., 19, 1621-1656.
52. Zhu, J. Z. and Zienkiewicz, O. C. (1988) Adaptive techniques in the finite element method, Communications in Applied Numerical Methods, 4, 197-204.
53. Ainsworth, M., Zhu, J. Z., Craig, A. and Zienkiewicz, O. C. (1989) Analysis of the Zienkiewicz-Zhu a-posteriori error estimator in the finite element method. Int. J. Num. Meth. Engng., 28, 2161-2174.
54. Zienkiewicz, O. C. and Zhu, J. Z. (1992) Superconvergent patch recovery and a-posteriori error estimation in the finite element method, Parts I and II. Int. J. Num. Meth. Engng., 33, 1331-1382.
55. Lőhner, R, Morgan, K. and Zienkiewicz, O. C. (1984) Domain splitting for an explicit hyperbolic solver. Comp. Meth. Appl. Mech. Eng., 45, 313-329.
56. Zienkiewicz, O. C., Lőhner, R., Morgan, K. and Peraire, J. (1986). High speed compressible flow and other advection dominated problems of fluid mechanics. Vol. 6, Ch. 2, 41-88, Finite Elements in Fluids (R. H. Gallagher et al. eds.), John Wiley and Sons
57. Zienkiewicz, O. C. and Codina, R. (1995) A general algorithm for compressible and incompressible flow. Part I – The Split Characteristic Based scheme. Int. J. Num. Meth. Fluids, 20, 869-885.
58. Zienkiewicz, O. C., Taylor, R. L., Zhu, J. Z. and Nithiarasu, P. (2005) The Finite Element Method – Three volume set, Butterworth-Heinemann.
59. Oñate, E (2009) Private communication.
60. Zienkiewicz, O. C. (1987) The first 25 years of the finite element method at Swansea. The University of Wales Review (J. H. Purnell, ed.), 5-19, No. 2, Autumn 1987.
61. Zienkiewicz, O. C. (1995) Origins, milestones and directions of the finite element method – A personal view. Archives of Computational Methods in Engineering, 2(1), 1-48.