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Convergence of a simple adaptive finite element method for optimal control

Abstract : We prove convergence and optimal complexity of an adaptive finite element algorithm for a model problem of optimal control. Following previous work, our algorithm is based on an adaptive marking strategy which compares a simple edge estimator with an oscillation term in each step of the algorithm in order to adapt the marking of cells.
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https://hal.inria.fr/inria-00264316
Contributor : Roland Becker <>
Submitted on : Saturday, March 15, 2008 - 1:41:35 PM
Last modification on : Friday, January 15, 2021 - 9:23:01 AM
Long-term archiving on: : Friday, September 28, 2012 - 11:15:37 AM

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  • HAL Id : inria-00264316, version 1

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Roland Becker, Hafida Karim, Shipeng Mao. Convergence of a simple adaptive finite element method for optimal control. [Research Report] 2008. ⟨inria-00264316⟩

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