An enhanced method with local energy minimization for the robust a posteriori construction of equilibrated stress fields in finite element analyses

Author:

Pled Florent,Chamoin Ludovic,Ladevèze Pierre

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics

Reference41 articles.

1. Ainsworth M, Oden J (1993) A priori error estimators for second-order elliptic systems. Part 2: An optimal order process for calculating self-equilibrating fluxes. Comput Math Appl 26: 75–87

2. Babuška I, Rheinboldt W (1978) A posteriori error estimates for the finite element method. Int J Numer Meth Eng 12: 1597

3. Babuška I, Strouboulis T (2001) The finite element method and its reliability. Oxford University Press, Oxford

4. Babuška I, Strouboulis T, Upadhyay C, Gangaraj S, Copps K (1994) Validation of a posteriori error estimators by numerical approach. Int J Numer Methods Eng 37: 1073–1123

5. Becker R, Rannacher R (2001) An optimal control approach to a posteriori error estimation in finite element methods. In: Isereles A (eds) Acta Numerica, vol 10. Cambridge University Press, Cambridge, pp 1–102

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