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 REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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ARGYRIS, J.H. {1954}: "Energy Theorems and Structural Analysis", Aircraft Engineering, Vol. 26, pp. 347-356 (Oct.), 383-387, 394 (Nov.)
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ARGYRIS, J.H. {1955}: "Energy Theorems and Structural Analysis", Aircraft Engineering, Vol. 27, pp. 42-58 (Feb.), 80-94 (March), 125-134 (April), 145-158 (May)
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ARGYRIS, J.H. {1966}: "Continua and Discontinua", Proceedings, Conference on Matrix Methods in Structural Mechanics, Preziemiencki et al. (Eds.), AFFDL-TR-66-80, (Oct. 26-28, 1965), Wright-Patterson AFB, Ohio, pp. 11-190.
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AUBIN, J.P. {1967}: "Behavior of the Error of the Approximate Solutions of Boundary-Value Problems for Linear Elliptic Operators by Galerkin's Method and Finite Differences", Annali della Scuola Normale di Pisa, Series 3, Vol. 21, pp. 599-637.
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AZIZ, A.K. {1972}: Editor of The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Academic Press, N.Y,
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BABUSKA, I, J.T. ODEN, and J.K. LEE {1977}: "Mixed-Hybrid Finite Element Approximations of Second-Order Elliptic Boundary-Value Problems", Computer Methods in Applied Mechanics and Engineering, VoI. 11, pp. 175-206.
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BABUSKA, I. {1976}: "Finite Element Methods for Domains with Corners", Computing, Vot. 6, pp. v 264-273.
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BABUSKA, I., and A.K. AZIZ {1972}: "Survey Lectures on the Mathematical Foundation of the Finite Element Method", Aziz, A.K. Ed., The Mathematical Foundation of the Finite Element Method with Applications to Partial Differential Equations, Academic Press, N.Y., pp. 5-359.
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BABUSKA, I. {1971}: "Error Bounds for the Finite Element Method", Numerische Math., Vol. 16, pp. 322-333.
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BEST, G., and J.T. ODEN {1963}: "Stiffness Matrices for Shell-Type Structures", Engineering Research Report No. 233, General Dynamics, Ft. Worth, Texas.
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BRAMBLE, J.H., and M.ZLAMAL {1970}: "Triangular Elements in the Finite Element Method", Mathematics of Computation, Vol. 24, No. 112, pp. 809-820.
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BREZZI, F. {1974}: "On the Existence, Uniqueness, and Approximation of Saddle-Point Problems Arising from Lagrange Multipliers", Revue Fran~aise d'Automatique, lnformatique et Recherche Operationelle, 8-R2, pp. 129-151.
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BOGNER, F.K., R.L. FOX, and L.A. SCHMIT, Jr. {1966}: "The Generation of Interelement, Compatible Stiffness and Mass Matrices by the Use of Interpolation Formulas", Proceedings, Conference on Matrix Methods in Structural Mechanics, Przemieniecki et al. (Eds.), pp. 397-444.
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CIARLET, P.G. {1968}: "An O(h2) Method for a Non-Smooth Boundary-Value Problem, Aequationes Math., Vol. 2, pp. 39-49.
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CIARLET, P.G., and P.A. RAVIART {1972a}: "General Lagrange and Hermite Interpolation in IRn with Applications to the Finite Element Method", Archive for Rational Mechanics and Analysis, Vol. 46, pp. 1'/7-199.
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CIARLET, P.G., and P.A. RAVIART {1972b}: "Interpolation Theory over Curved Elements with Applications to Finite Element Methods", Computer Methods in Applied Mechanics and Engineering, pp. 217-249.
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CIARLET, P.G., and P.A. RAVIART {1972c}: "The Combined Effect of Curved Boundaries and Nuermical Integration in Isoparametric Finite Element Methods", in The Mathematical Foundations of the Finite Element Method ith Applications to Partial Differential Equations, Ed. A.K. Aziz, Academic Press, N.Y., pp. 409-474.
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CLOUGH, R.W. {1960}: "The Finite Element Method in Plane Stress Analysis", Proceedings 2nd ASCE Conference on Electronic Computation.
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COURANT, R. {1943}: "Variational Methods for the Solution of Problems of Equilibrium and Vibration", Bull. Am. Math. Soc., Vol. 49, 1-23.
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DOUGLAS, J. and T. DUPONT { 1973}: "Superconvergence for Galerkin Methods for the Two- Point Boundary Problem via Local Projections", Numerische Math., Vol. 21, pp. 220-228.
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DOUGLAS, J. and T. DUPONT { 1970}: "Galerkin Methods for Parabolic Problems", SIAM or, Numerical Analysis, Vo!. 7, No. 4, pp. 575-626.
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DUPONT. T. {1973}: L2-Estimates for Galerkin Methods for Second-Order Hyperbolic Equations, SIAM d. Numerical Analysis, Vol. 10, pp. 880-889.
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23
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ERGATOUDIS, I, B.M. IRONS, and O.C. ZIENKIEWlCZ {1966}: "Curved Isoparametric Quadrilateral Finite Elements", Int. J. Solids and Structures, Vol. 4, pp. 31-42.
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FALK, S.R. { 1974}: "Error Estimates for the Approximation of a Class of Variational Inequalities", Mathematics of Computation, vol. 28, pp. 963-971.
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FENG KANG { 1965}: "A Difference Formulation Based on the Variational Principle" (in Chinese), Appl. Mathematics and Comp. Mathematics, Vol. 2, No. 4, pp. 238-262.
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HERRMANN, L.R. {1966}: "A Bending Analysis for Plates" Proceedings, Conference on Matrix Methods in Structural Mechanics, Przemieniecki et al. (Eds.), PV. 577.
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28
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IRONS, B., and A. RAZZAQUE {1972}: "Experience with the Patch Test for Convergence of Finite Elements", in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Ed. A.K. Aziz, Academic Press, N.Y., pp. 557-587.
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IRONS, B. {1970}: "A Frontal Solution Program for Finite Element Analysis", Int. J. Num. Meth's. Eng., Vol. 2, No. 1, pp. 5-32.
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IRONS, B. { 1966}: "Engineering Applications of Numerical Integration in Stiffness Methods", AIAA Journal, VoI. 4, No. II, pp. 2035-3037.
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31
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JOHNSON, M.W., Jr., and McLay, R.W. {1968}: "Convergence of the Finite Element Method in the Theory of Elasticity", d. Appl. Mech., Series E, Vol. 3, 5, No. 2, pp. 274-2'78.
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KRON, G. {1953}: "A Set of Principles to Interconnect the Solutions of Physical Systems", J. Appl. Phys., 24, 965-980.
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KRON, G. {1939}: Tensor Analysis of Networks, John Wiley and Sons, New York.
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LEIBNIZ, G. {1962}: G.W. Leibniz Mathematische Schriften, Ed. C. Gerhardt, pp. 290-293, G. Olms Verlagsbuchhandlung.
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NITSCHE, J.A. {1963}: "Ein Kriterium ftir die Quasi-Optimalit~it des Ritzschen Verfahrens", Numerische Math., Vol. 11, pp. 540-5415.
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ODEN, J.T. {1976}: Finite Elements of Nonlinear Continua, McGraw Hill Book Co., New York
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ODEN, J.T. {1972}: "Some Contibutions to the Mathematical Theory of Mixed Finite Element Approximations", in Theory and Practice in Finite Element Structural Analysis, Yamada, Y. et al. Eds., Univ. of Tokyo Press, Tokyo, pp. 3-23.
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ODEN, J.T. {1970}: "A Finite Element Analogue of the Navier-Stokes Equations", J. Eng. Mech. Div., ASCE, Vol. 96, No. EM 4.
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ODEN, J.T. { 1969}: "A General Theory of Finite Elements; II. Applications", Int. J. Num. Meth's. Eng., Vol. 1, No. 3, pp. 247-259.
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ODEN, J.T., and SOMOGYI, D. {1968}: "Finite Element Applications in Fluid Dynamics", J. Eng. Mech. Div., ASCE, Vol. 95, No. EM 4, pp. 821-826.
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