Gradient recovery type a posteriori error estimates of virtual element method for an elliptic variational inequality of the second kind. (English) Zbl 07698302
Summary: In this paper, gradient recovery type a posteriori error estimators of virtual element discretization are derived for a simplified friction problem, which is a typical elliptic variational inequality of the second kind. Both the reliability and the efficiency of the error estimators are proved. In addition, one numerical example is presented to show the efficiency of the adaptive VEM based on the derived error estimators.
MSC:
| 65Nxx | Numerical methods for partial differential equations, boundary value problems |
| 74Mxx | Special kinds of problems in solid mechanics |
| 74Sxx | Numerical and other methods in solid mechanics |
Keywords:
virtual element method; a posteriori error analysis; gradient recovery; simplified friction problemReferences:
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