Abstract
In this work, we present a brief review on recent developments on adaptive finite element method for optimal control problems. We review some current approaches commonly used in adaptive finite element method, and further discuss the main obstacles in applying these approaches to finite element approximation of optimal control problems. We then discuss some recent progress in this area and possible future research. In particular, we report upon the recent advances made by the research groups in Kent and Heidelberg.
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Liu, W. (2001). Recent Advances in Mesh Adaptivity for Optimal Control Problems. In: Hoffmann, KH., Hoppe, R.H.W., Schulz, V. (eds) Fast Solution of Discretized Optimization Problems. ISNM International Series of Numerical Mathematics, vol 138. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8233-0_12
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DOI: https://doi.org/10.1007/978-3-0348-8233-0_12
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