zbMATH — the first resource for mathematics

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

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
Full Text: DOI
[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)
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.