Origins, milestones and directions of the finite element method-A personal view

Handbook of Numerical Analysis

Volumn 4, Issue , 1996, Pages 3-67

  Zienkiewicz, O C ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70350321309     PISSN: 15708659     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1570-8659(96)80002-0     Document Type: Note

References (158)

1. Ahmad S., Irons B.M., and Zienkiewicz O.C. Curved thick shell and membrane elements with particular reference to axi-symmetric problems. Proc. 2nd Conf. on Matrix Methods in Structural Mechanics. Wright-Patterson AF Base, OH (1968)
2. Ahmad S., Irons B.M., and Zienkiewicz O.C. Analysis of thick and thin shell structures by curved elements. Internat. J. Numer. Methods Engrg. 2 (1970) 419-451
3. Allen D.N.D.G. Relaxation Methods (1955), McGraw-Hill
4. reprinted. Argyris J.H. Energy theorems and structural analysis. Aircraft Engrg. (1955-1960), Butterworths, New York
5. Argyris J.H., Fried I., and Sharpf D.W. The TUBA family of plate elements for the matrix displacement method. Roy. Aeronaut. Soc. 72 (1968) 701-709
6. Argyris J.H., Mareczek G., and Scharpf D.W. Two and three dimensional flow using finite elements. J. Roy. Aero. Soc. 73 (1969) 961-964
7. Arnold D.N., and Falk R.S. A uniformly accurate finite element method for Mindlin-Reissner plate. IMA Preprint Series No. 307 (1987), Institute for Mathematics and its Applications, University of Minnesota, London
8. Atkinson B., Card C.C.M., and Irons B.M. Application of the finite element method to creeping flow problems. Trans. Inst. Chem. Engrg. 48 (1970) 276-284
9. Babuška I. Error bounds for finite element methods. Numer. Math. 16 (1971) 322-333
10. Babuška I. The finite element method with Lagrange multipliers. Numer. Math. 20 (1973) 179-192
11. Babuška I., and Rheinboldt W.C. A-posteriori error estimates for the finite element method. Internat. J. Numer. Methods Engrg. 11 (1978) 1597-1615
12. Babuška I., and Rheinboldt W.C. Adaptive approaches and reliability estimates in finite element analysis. Comput. Methods Appl. Mech. Engrg. 17/18 (1979) 519-540
13. In: Babuška I., Zienkiewicz O.C., De S.R. Gago J.P., and De Arrantes Oliveira E.R. (Eds). Accuracy Estimates and Adaptive Refinement in Finite Element (1986), Wiley
14. Bazeley G.P., Cheung Y.K., Irons B.M., and Zienkiewicz O.C. Triangular elements in bending-conforming and non-conforming solutions. Proc. Conf. Matrix Methods in Structural Mechanics (1965), Air Force Inst. Tech., New York
15. Beer G., and Watson J.O. Introduction to Finite and Boundary Element Methods for Engineering (1992), Wiley, Wright-Patterson AF Base, OH
16. Bell K. A refined triangular plate bending element. Internat. J. Numer. Methods Engrg. 1 (1969) 101-122
17. Belytschko T., Lu X.Y., and Gu L. Element free Galerkin methods. Internat. J. Numer. Methods Engrg. 37 (1994) 229-256
18. Bercovier M., Pironneau O., Harbani Y., and Livne E. Characteristics and finite element methods applied to equations of fluids. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications Vol. V (1982), Academic Press, Chichester, UK 471-478
19. Bergan P.G., and Hanssen L. A new approach for deriving "good" element stiffness matrices. In: Whiteman J.R. (Ed). The Mathematics of Finite Elements and Applications (1977), Academic Press, London 483-497
20. Bergan P.G., and Nygard M.K. Finite elements with increased freedom in choosing shape functions. Internat. J. Numer. Methods Engrg. 20 (1984) 643-663
21. Bogner F.K., Fox R.L., and Schmit L.A. The generation of interelement-compatible stiffness and mass matrices by the use of interpolation formulae. Proc. Conf. on Matrix Methods in Structural Mechanics (1965), Air Force Institute of Technology, London
22. Bosshard W. Ein neues vollverträgliches endliches Element für Plattenbiegung. Mt. Ass. Bridge Struct. Eng. Bull. 28 (1968) 27-40
23. Brauchli H.J., and Oden J.T. On the calculation of consistent stress distribution in finite element applications. Internat. J. Numer. Methods Engrg. 3 (1971) 317-325
24. Brezzi F. On the existence, uniqueness and approximation of saddle point problems arising from lagrangian multipliers. Rairo 8-R2 (1974) 129-151
25. Christie I., Griffiths D.F., Mitchell A.R., and Zienkiewicz O.C. Finite element methods for second order differential equations with significant first derivatives. Internat. J. Numer. Methods Engrg. 10 (1976) 1389-1396
26. Clough R.W. Structural analysis by means of a matrix algebra program. Proc. A.S.C.E. Conf. on Electronic Computation. Kansas City, November (1958) 109-132
27. Clough R.W. The finite element in plane stress analysis. Proc. 2nd ASCE Conf. on Electronic Computation. Pittsburgh, PA (1960)
28. Clough R.W. The finite element method in structural mechanics. In: Zienkiewicz O.C., and Holister G.S. (Eds). Stress Analysis, Chapter 7 (1965), Wiley, Wright-Patterson AF Base, OH
29. Clough R.W. The finite element method after twenty-five years-A personal view. In: Computas A.S. (Ed). Engineering Applications of the Finite Element Method (1979), Det Norske Veritas, New York 1.1-1.34
30. Clough R.W., and Adini A. Analysis of plate bending by the finite element method. Report to National Science Foundation USA G.7337 (1961)
31. Clough R.W., and Tocher J.L. Finite element stiffness matrices for analysis of plates in bending. Proc. Conf. on Matrix Methods in Structural Mechanics (1965), Air Force Institute of Technology, Høvik, Norway
32. Courant R. On a convergence principle in calculus of variation (German) (1923), Kön Gesellschaft der Wissenschaften zu Götingen Wachrichten, Wright-Patterson AF Base, OH
33. Courant R. Variational methods for the solution of problems of equilibrium and vibration. Bull. Amer. Math. Soc. 49 (1943) 1-23
34. See also. Cowper G.R., Kosko E., Lindberg G.M., and Olson M.D. Formulation of a new triangular plate bending element. Trans. Canad. Aero-Space Inst. 1 (1968) 86-90
35. NRC Aero report LR514 (1968)
36. Crandall S.H. Engineering Analysis (1955), McGraw-Hill, Berlin
37. Special issue. Demkowicz L., Oden J.T., and Babuška I. Reliability in computational mechanics. Comput. Methods Appl. Mech. Engrg. 101 (1992) 1-492
38. Donea J. A Taylor-Galerkin method for convective transport problems. Internat. J. Numer. Methods Engrg. 20 (1984) 101-119
39. Dvorkin E.N., and Bathe K.J. A continuum mechanics based four noded shell element for non linear analysis. Engrg. Comput. 1 (1984) 77-88
40. Ergatoudis J.G., Irons B.M., and Zienkiewicz O.C. Curved isoparametric "quadrilateral" elements for finite element analysis. Internat. J. Solids and Structures 4 (1968) 31-42
41. Ergatoudis J.G., Irons B.M., and Zienkiewicz O.C. Three dimensional analysis of arch dams and their foundations. Symposium on Arch Dams (1968), Inst. Civ. Eng., New York
42. Falkenheimer K. Systematic calculation of the elastic characteristics of hyperstatic systems. Rech. Aeronaut. (1951) 17-23
43. Finlayson B.A. The Method of Weighted Residuals and Variational Principles (1972), Academic Press, London
44. Feng K. Difference schemes based on variational principles (in Chinese). Appl. Comput. Math. 2 (1965) 238-262
45. Fletcher C.A.T. Computational Galerkin Methods (1984), Springer, New York
46. Chapter 7. Fortin M., and Fortin N. Newer and newer elements for incompressible flow. In: Gallagher R.H., et al. (Ed). Finite Elements in Fluids Vol. 6 (1982), J. Wiley, Berlin
47. Galerkin B.G. Series solution of some problems of elastic equilibrium of rods and plates (Russian). Vestnik. Inzh. Tech. 19 (1915) 897-908
48. Gallagher R.H., Padlog J., and Bijlaard P.P. Stress analysis of heated complex shapes. ARS J. (1962) 700-707
49. Hassan O., Morgan K., and Peraire J. An implicit-explicit scheme for compressible viscous high speed flows. Comput. Methods Appl. Mech. Engrg. 76 (1989) 245-258
50. Herrmann L.R. Elasticity equations for incompressible or nearly incompressible materials by a variational theorem. J. AIAA 3 (1965) 1896-1900
51. Hinton E., and Campbell J. Local and global smoothing of discontinuous finite element function using a least squares method. Internat. J. Numer. Methods Engrg. 8 (1974) 461-480
52. Hrenikoff A. Solution of problems in elasticity by the framework method. J. Appl. Mech. A8 (1941) 169-175
53. Huang E.C., and Hinton E. Elastic, plastic and geometrically non linear analysis of plates and shells using a new, nine noded element. In: Bergan P., et al. (Ed). Finite Elements for Non Linear Problems (1986), Springer, Chichester 283-297
54. March. Hunt C.P. The electronic digital computer in Aircraft structural analysis. Aircraft Engrg. 28 (1956) 40
55. April. Hunt C.P. The electronic digital computer in Aircraft structural analysis. Aircraft Engrg. 28 (1956) 11
56. May. Hunt C.P. The electronic digital computer in Aircraft structural analysis. Aircraft Engrg. 28 (1956) 155
57. Hughes T.J.R., and Brooks A. A multi-dimensional upwind scheme with no cross wind diffusion. In: Hughes T.J.R. (Ed). Finite Elements for Convection Dominated Flows AMD 34 (1979), ASME, Berlin
58. Irons B.M. Numerical integration applied to finite element methods. Conf. Use of Digital Computers in Struct. Engrg. Univ. of Newcastle (1966)
59. Irons B.M. Engineering application of numerical integration in stiffness method. J. AIAA 14 (1966) 2035-2037
60. Irons B.M. A conforming quartic triangular element for plate bending. Internat. J. Numer. Methods Engrg. 1 (1969) 29-46
61. Irons B.M., and Draper J.K. Inadequacy of nodal connections in a stiffness solution for plate bending. J. AIAA 3 (1965) 5
62. Irons B.M., and Razzaque A. Experience with the patch test for convergence of finite element method. In: Aziz A.K. (Ed). Mathematical Foundations of the Finite Element Method (1972), Academic Press, New York 557-587
63. Jameson A., Baker T.J., and Weatherill N.P. Calculation of inviscid transonic flow over a complete aircraft. Proc. AIAA 24th Aerospace Sci. Meeting. Reno, Nevada. AIAA paper 86-0103 (1986)
64. Johnson C., Nävert V., and Pitkäranta J. Finite element methods for linear, hyperbolic problems. Comput. Methods Appl. Mech. Engrg. 45 (1984) 285-312
65. Kelly D.W., Nakazawa S., and Zienkiewicz O.C. A note on anisotropic balancing dissipation in the finite element method approximation to convective diffusion problems. Internat. J. Numer. Methods Engrg. 15 (1980) 1705-1711
66. Langefors B. Analysis of elastic structures by matrix transformation with special regard to semi monocaque structures. J. Aero. Sci. 19 17 (1952)
67. Lax P.D., and Wendroff B. Systems of conservative laws. Comm. Pure Appl. Math. 13 (1960) 217-237
68. Liszka T., and Orkisz J. The finite difference method at arbitrary irregular grids and its application in applied mechanics. Comput. & Structures 11 (1980) 83-95
69. Liu W.R., Adee J., and Jun S. Reproducing kernel particle methods for elastic and plastic problems. In: Benson D.J., et al. (Ed). Adv. Comput. Methods Mater. Model. AMD 180 (1993) 175-190
70. Löhner R., Morgan K., and Zienkiewicz O.C. The solution of non-linear hyperbolic equation systems by the finite element method. Internat. J. Numer. Methods Fluids 4 (1984) 1043-1063
71. Löhner R., Morgan K., and Zienkiewicz O.C. An adaptive finite element procedure for compressible high speed flows. Comput. Methods Appl. Mech. Engrg. 51 (1985) 441-465
72. Malkus D.S., and Hughes T.J.R. Mixed finite element methods in reduced and selective integration techniques: A unification of concepts. Comput. Methods Appl. Mech. Engrg. 15 (1978)
73. Martin H.C. Finite element analysis of fluid flows. Proc. 2nd Conf. on Matrix Methods in Struct. Mech. Wright-Patterson AF Base, OH (1968)
74. Massonet C.E. Numerical use of integral procedures. In: Zienkiewicz O.C., and Holister G.S. (Eds). Stress Analysis, Chapter 10 (1965), Wiley, New York 198-235
75. McHenry D. A lattice analogy for the solution of plane stress problems. J. Inst. Civ. Engrg. 21 (1943) 59-82
76. Melosh R.J. Structural analysis of solids. Proc. Amer. Soc. Civ. Engrg. ST4 (1963) 205-223
77. Mindlin R.D. Influence of rotatory inertia and shear in flexural motions of isotropic elastic plates. J. Appl. Mech. 18 (1951) 31-38
78. Mote C.D. Global-local finite element. Internat. J. Numer. Methods Engrg. 3 (1971) 565-574
79. Nay R.A., and Utku S. An alternative for the finite element method. In: Brebbia C.A., and Tottenham H. (Eds). Variational Methods in Engineering (1973), Southampton Univ. Press, New York 3162-3174
80. Nayak G.C., and Zienkiewicz O.C. Elasto-plastic stress analysis. Generalization for various constitutive relations including strain softening. Internat. J. Numer. Methods Engrg. 5 (1972) 113-135
81. Neyrolles B., Touzot G., and Villon P. Le methode des elements diffus. C. R. Acad. Sci. Paris Ser. II 313 (1991) 293-296
82. Neyrolles B., Touzot G., and Villon P. Generalizing the finite element method. Diffuse approximation and diffuse elements. Comput. Mech. 10 (1992) 3-18
83. Oden J.T. A general theory of finite elements-I: Topological considerations, II: Applications. Internat. J. Numer. Methods Engrg. 1 (1969) 205-221
84. Oden J.T. A general theory of finite elements-I: Topological considerations, II: Applications. Internat. J. Numer. Methods Engrg. 1 (1969) 247-260
85. Oden J.T. The finite element in fluid mechanics. In: Oden J.T., and Oliveira E.R.A. (Eds). Lectures on Finite Element Method in Continuum Mechanics. 1970, Lisbon (1973), University of Alabama Press, Southampton 151-186
86. Oden J.T., and Samogyi D. Finite element application in fluid dynamics. Proc. Amer. Soc. Civ. Engrg. 95 (1969) 821-826
87. Oden J.T., Strouboulis T., and Devloo P. Adaptive finite element methods for high speed compressible flows. Internat. J. Numer. Methods Engrg. 7 (1987) 1211-1228
88. Oden J.T., and Wellford L.C. Analysis of viscous flow by the finite element method. JIAA 10 (1972) 1590-1599
89. Oliveira E.R.D.A. The patch test and the general convergence criteria of the finite element method. Internat. J. Solids & Structures 13 (1977) 159-178
90. Oñate E., Cervera M., and Zienkiewicz O.C. A finite volume format for structural mechanics. Internat. J. Numer. Methods Engrg. 37 (1994) 181-201
91. Pavlin V., and Perrone N. Finite difference energy technique for arbitrary meshes applied to linear plate problems. Internat. J. Numer. Methods Engrg. 14 (1979) 647-664
92. Pawsey S.F., and Clough R.W. Improved numerical integration of thick slab finite elements. Internat. J. Numer. Methods Engrg. 3 (1971) 575-586
93. Peano A.G. Hierarchics of conforming finite elements for elasticity and plate bending. Comput. Math. Appl. 2 (1976) 3-4
94. Peraire J., Peiro J., Formaggia L., Morgan K., and Zienkiewicz O.C. Finite element Euler computations in 3-D. Internat. J. Numer. Methods Engrg. 26 (1988) 2135-2159
95. Peraire J., Vahdati M., Morgan K., and Zienkiewicz O.C. Adaptive remeshing for compressible flow computations. J. Comput. Phys. 72 (1987) 449-466
96. Pironneau O. On the transport diffusion algorithm and its application to the Navier Stokes equation. Numer. Math. 38 (1982) 309-332
97. Prager W., and Synge J.L. Approximation in elasticity based on the concept of function space. Quart. J. Appl. Math. 5 (1947) 241-269
98. Rashid Y.R., and Rockenhauser W. Pressure vessel analysis by finite element techniques. Proc. Conf. On Prestressed Concrete Pressure Vessels (1968), Inst. Civ. Eng., Huntsville
99. Reissner E. The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 12 (1945) 69-76
100. Reissner E. On a variational theorem in Elasticity. J. Math. Phys. 29 (1950) 90-95
101. Ritz W. Über eine neue Methode zur Lösung gewissen Variations-Probleme der mathematischen Physik. J. Reine Angew. Math. 135 (1909) 1-61
102. Southwell R.V. Relaxation Methods in Engineering Science (1940), Oxford University Press
103. Southwell R.V. Relaxation Methods in Theoretical Physics Vol. I (1946), Clarendon Press, Oxford
104. Southwell R.V. Relaxation Methods in Theoretical Physics Vol. II (1956), Clarendon Press, Oxford
105. Spalding D.B. A novel finite difference formulation for differential equations involving both first and second derivatives. Internat. J. Numer. Methods Engrg. 4 (1972) 551-559
106. Specht B. Modified shape functions for the three node plate bending element passing the patch test. Internat. J. Numer. Methods Engrg. 26 (1988) 705-715
107. Strang G., and Fix G.J. An Analysis of the Finite Element Method (1973), Prentice-Hall, Oxford
108. (Lord Rayleigh). Strutt J.W. On the theory of resonance. Trans. Roy. Soc. London A161 (1870) 77-118
109. Stummel F. The limitations of the patch test. Internat. J. Numer. Methods Engrg. 15 (1980) 177-188
110. Szmelter J. The energy method of networks of arbitrary shape in problems of the theory of elasticity. In: Olszak W. (Ed). Proc. IUTAM 1958 Symposium on Non-Homogeneity in Elasticity and Plasticity (1959), Pergamon Press, Englewood Cliffs, NJ
111. Taig I.C. Structural analysis by the matrix displacement method. Engl. Electric Aviation Report No. S017 (1961)
112. Taylor C., and Hood P. A numerical solution of the Navier-Stokes equations using the finite element techniques. Comput. Fluids 1 (1973) 73-100
113. Taylor R.L., Zienkiewicz O.C., Simo J.C., and Chan A.H.C. The patch test-A condition for assessing f.e.m. convergence. Internat. J. Numer. Methods Engrg. 22 (1986) 39-62
114. Tong P. Exact solution of certain problems by the finite element method. J. AIAA 7 (1969) 179-180
115. Trefftz E. Ein gegenstuck zum Ritz'schen Verfahren. Proc. 2nd Int. Congr. Appl. Mech. Zürich (1926)
116. Turner M.J., Clough R.W., Martin H.C., and Topp L.J. Stiffness and deflection analysis of complex structures. J. Aero. Sci. 23 (1956) 805-823
117. Veubeke B.F.D. Displacement and equilibrium models in finite element method. In: Zienkiewicz O.C., and Holister G.S. (Eds). Stress Analysis, Chapter 9 (1965), Wiley, Oxford 145-197
118. Veubeke B.F.D. Variational principles and the patch test. Internat. J. Numer. Methods Engrg. 8 (1974) 783-801
119. Veubeke B.F.D., and Zienkiewicz O.C. Strain energy bounds in finite element analysis. J. Strain Analysis 2 (1967) 265-271
120. Visser W. The finite element method in deformation and heat conduction problems. Dissertation (1968), Tech. University, New York
121. Washizu K. Variational Methods in Elasticity and Plasticity. 2nd ed. (1975), Pergamon Press, Delft
122. Wiberg N.E., and Abdulahab F. An efficient post-processing technique for stress problems based on superconvergence derivatives and equilibrium. In: Hirsch Ch., et al. (Ed). Numerical Methods in Engineering (1992), Elsevier, Oxford
123. Zienkiewicz O.C. The stress distribution in gravity dams. Proc. Inst. Civil. Engrg. 27 (1947) 244-247
124. Zienkiewicz O.C. Finite element procedures in the solution of plate and shell problems. In: Zienkiewicz O.C., and Holister G.S. (Eds). Stress Analysis, Chapter 8 (1965), wiley, Amsterdam 120-144
125. Zienkiewicz O.C. The Finite Element Method in Engineering Science (1971), McGraw-Hill, New York 521
126. Zienkiewicz O.C. The Finite Element Method. 3rd ed. (1977), McGraw-Hill, New York 787
127. 27 Oct. Zienkiewicz O.C., Arlett P.L., and Bahrani A.K. Solution of three-dimensional field problems by the finite element method. The Engineer (1967)
128. Zienkiewicz O.C., and Cheung Y.K. The finite element method for analysis of elastic isotropic and orthotropic slabs. Proc. Inst. Civ. Engrg. 28 (1964) 471-488
129. Zienkiewicz O.C., and Cheung Y.K. Finite elements in the solution of field problems. The Engineer (1965) 507-510
130. Zienkiewicz O.C., and Cheung Y.K. The Finite Element Method in Structural Mechanics (1967), McGraw-Hill, New York 272
131. to appear. Zienkiewicz O.C., and Codina R. A general algorithm for compressible and incompressible flow. Internat. J. Numer. Math. Fluids (1995)
132. Zienkiewicz O.C., De J.P., Gago S.R., and Kelly D.W. The hierarchical concept in finite element analysis. Comput. & Structures 16 (1983) 53-65
133. Zienkiewicz O.C., Gallagher R.H., and Hood P. Newtonian and non-Newtonian viscous incompressible flow. Temperature induced flows and finite element solutions. In: Whiteman J. (Ed). The Mathematics of Finite Elements and Applications Vol. II (1976), Academic Press, New York
134. Zienkiewicz O.C., Heinrich J.C., Huyakorn P.S., and Mitchell A.R. An upwind finite element scheme for two dimensional convective transport equations. Internat. J. Numer. Methods Engrg. 11 (1977) 131-144
135. In: Zienkiewicz O.C., and Holister G.S. (Eds). Stress Analysis (1965), Wiley, London
136. Zienkiewicz O.C., Irons B.M., Campbell J., and Scott F.C. Three dimensional stress analysis. Proc. Int. Un. Th. Appl. Mech. Symposium on High Speed Computing in Elasticity. Liege (1970)
137. form. Zienkiewicz O.C., Irons B.M., Ergatoudis I., Ahmad S., and Scott F.C. Isoparametric and associated element families for two and three dimensional analysis. Finite Element Methods in Stress Analysis (1969), Tapir Press, Chicago 38-432
138. Zienkiewicz O.C., Kelly D.W., and Bettess P. The coupling of the finite element method and boundary solution procedures. Internat. J. Numer. Methods Engrg. 11 (1977) 355-375
139. Zienkiewicz O.C., and Lefebvre D. Three field mixed approximation and the plate bending problem. Comm. Appl. Numer. Methods 3 (1987) 301-309
140. Zienkiewicz O.C., and Lefebvre D. A robust triangular plate bending element of the Reissner-Mindlin type. Internat. J. Numer. Methods Engrg. 26 (1988) 1169-1184
141. Ch. 1. Zienkiewicz O.C., Löhner R., Morgan K., and Nakazawa S. Finite elements in fluid mechanics-a decade of progress. In: Gallagher R.H., et al. (Ed). Finite Elements in Fluids Vol. 5 (1984), Wiley, Norway 1-26
142. Ch. 2. Zienkiewicz O.C., Löhner R., Morgan K., and Peraire J. High speed compressible flow and other advection dominated problems of fluid mechanics. In: Gallagher R.H., et al. (Ed). Finite Elements in Fluids Vol. 6 (1986), Wiley, Chichester 41-88
143. Zienkiewicz O.C., Mayer P., and Cheung Y.K. Solution of anisotropic seepage problems by finite elements. Proc. Amer. Soc. Civ. Engrg. 92 (1966) 111-120
144. to appear. Zienkiewicz O.C., Morgan K., Satya Sai B.V.K., Codina R., and Vazquez M. A general algorithm for compressible and incompressible flow, Part II-Tests on the explicit form. Internat. J. Number. Methods Fluids (1995)
145. Zienkiewicz O.C., and Oñate E. Finite volumes vs. finite elements. Is there really a choice?. In: Wriggers P., and Wagner W. (Eds). Nonlinear Computational Mechanics. State of the Art (1991), Springer, Chichester 240-254
146. Zienkiewicz O.C., Oñate E., and Heinrich J.C. Plastic Flow in Metal Forming (1978), ASME, Berlin 107-120
147. Zienkiewicz O.C., Qu S., Taylor R.L., and Nakazawa S. The patch test for mixed formulation. Internat. J. Numer. Methods Engrg. 23 (1986) 1873-1883
148. Zienkiewicz O.C., and Taylor C. Weighted residual processes in finite elements with particular reference to some transient and coupled problems. In: Oden J.T., and Oliveira E.R.A. (Eds). Lectures on Finite Element Method in Continuum Mechanics. 1970, Lisbon (1973), University of Alabama Press, San Francisco, CA 415-458
149. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method. Basic formulation and Linear problems Vol. I (1989), McGraw-Hill, Huntsville 648
150. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method. Solid and Fluid Mechanics, Dynamics and Nonlinearity Vol. II (1991), McGraw-Hill, New York 807
151. Zienkiewicz O.C., Too J., and Taylor R.L. Reduced integration technique in general analysis of plates and shells. Internat. J. Numer. Methods Engrg. 3 (1971) 275-290
152. Zienkiewicz O.C., Valliappan S., and King I.P. Stress analysis of rock as a "no-tension" material. Geotechnique 18 (1968) 56-66
153. Zienkiewicz O.C., Valliappan S., and King I.P. Elasto-plastic solutions of engineering problems. Initial stress, finite element approach. Internat. J. Numer. Methods Engrg. 1 (1969) 75-100
154. Zienkiewicz O.C., and Zhu J.Z. A simple error estimator and adaptive procedure for practical engineering analysis. Internat. J. Numer. Methods Engrg. 24 (1987) 337-357
155. Zienkiewicz O.C., and Zhu J.Z. Error estimation and adaptive refinement for plate bending problems. Internat. J. Numer. Methods Engrg. 28 (1989) 2839-2853
156. Zienkiewicz O.C., and Zhu J.Z. The superconvergent patch recovery (SPR) and adaptive finite element refinement. Comput. Methods Appl. Mech. Engrg. 101 (1992) 207-224
157. Zienkiewicz O.C., and Zhu J.Z. Superconvergent patch recovery and a-posteriori error estimation in the finite element method, Part I: A general superconvergent recovery technique. Internat. J. Numer. Methods Engrg. 33 (1992) 1331-1364
158. Zienkiewicz O.C., and Zhu J.Z. Superconvergent patch recovery and a-posteriori error estimation in the finite element method, Part II: The Zienkiewicz-Zhu, a-posteriori error estimator. Internat. J. Numer. Methods Engrg. 33 (1992) 1365-1381