Abstract

The upper bound on the energy norm of solutions is a necessary condition in the present verification methods of the displacement-based finite element method. In this paper, we give a brief review of the existing methods for the upper bounds on the energy norm of solutions. Compared with other verification methods, the energy relaxation method does not require solving a series of sub-problems, but only solving a global problem, that is beneficial to its application and implementation in the verification of nonlinear finite element analysis.

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