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À propos de : Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities        

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  • Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities
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  • A dual-weighted residual approach for goal-oriented adaptive finite elements for a class of optimal control problems for elliptic variational inequalities is studied. The development is based on the concept of C-stationarity. The overall error representation depends on primal residuals weighted by approximate dual quantities and vice versa as well as various complementarity mismatch errors. Also, a priori bounds for C-stationary points and associated multipliers are derived. Details on the numerical realization of the adaptive concept are provided and a report on numerical tests including the critical cases of biactivity are presented.
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  • cocv130074
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  • © EDP Sciences, SMAI, 2014
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  • EDP Sciences, SMAI
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