Abstract
On the basis of the dual variational formulation of a class of elliptic variational inequalities, a constitutive relation error is defined for the variational inequalities as an a posteriori error estimator, which is shown to guarantee strict upper bounds of the global energy-norm errors of kinematically admissible solutions. A numerical example is presented to validate the strictly bounding property of the constitutive relation error for the variational inequalities in question.
Original language | English |
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Pages (from-to) | 14-23 |
Journal | Applied mathematics letters |
Volume | 71 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Keywords
- Constitutive relation error (CRE)
- A posteriori error estimation
- Strict bound
- Elliptic variational inequality
- Dual variational formulation