A Priori Error Estimates for an Optimal Control Problem Governed by a Variational Inequality of the Second Kind.

Autor:	Meyer, Christian, Weymuth, Monika
Předmět:	ERROR analysis in mathematics VARIATIONAL inequalities (Mathematics) MATHEMATICAL equivalence ESTIMATES
Zdroj:	PAMM: Proceedings in Applied Mathematics & Mechanics; Nov2019, Vol. 19 Issue 1, pN.PAG-N.PAG, 1p
Abstrakt:	We consider an optimal control problem governed by an elliptic variational inequality of the second kind. The problem is discretized by linear finite elements for the state and a variational discrete approach for the control. We derive nearly optimal a priori error estimates based on L∞‐error estimates for the variational inequality and a quadratic growth condition. Our error analysis yields a convergence rate of order 1 − ϵ for the L2‐norm of the control. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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