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The solution of nonlinear finite element equations. (English) Zbl 0419.65070

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74C99 Plastic materials, materials of stress-rate and internal-variable type
65H10 Numerical computation of solutions to systems of equations
Software:
ALGOL 68
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References:
[1] ’An assessment of current finite element analysis of nonlinear problems’, in Numerical Solution of Partial Differential Equations III (Ed. ), Academic Press, New York, 1976.
[2] The Approximate Minimization of Functionals, Academic Press, New York, 1971. · Zbl 0223.65014
[3] and , ’The conjugate Newton algorithm for solving finite element equations’, in Formulations and Computational Algorithms in Finite Element Analysis (Ed. and ), MIT Press, Cambridge, 1977.
[4] Dennis, SIAM Rev. 19 pp 46– (1977)
[5] Brodlie, J. Inst. Math. Appl. 11 pp 73– (1973)
[6] Methods for Solving Systems of Nonlinear Equations, SIAM Conf. Ser. 14, Philadehia, 1974.
[7] and , Numerical Methods for Constrained Optimization, Academic Press, London, 1974.
[8] ’A fast algorithm for nonlinearly constrained optimization calculations’, in Lecture Notes in Mathematics, Vol. 630, Springer-Verlag, Berlin, 1978. · Zbl 0374.65032
[9] and , Numerical Methods, Prentice-Hall, Englewood Cliffs, N. J., 1974.
[10] and , Informal Introduction to ALGOL 68, North-Holland, Amsterdam, 1977.
[11] A Practical Guide to ALGOL 68, John Wiley, London, 1976.
[12] van Wijngaarden, Acta Informatica. 5 (1975)
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