Abstract
This chapter summarizes recent trends and addresses future research directions in the field of discrete concepts for PDE constrained optimization with elliptic and parabolic PDEs in the presence of pointwise constraints. It covers the range from tailored discrete concepts over adaptive a posteriori finite element approaches, to the modern algorithmical treatment of challenging optimal control applications with fluid flows.
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© 2014 Springer International Publishing Switzerland
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Hinze, M. (2014). Introduction to Part IV Discretization: Concepts and Analysis. In: Leugering, G., et al. Trends in PDE Constrained Optimization. International Series of Numerical Mathematics, vol 165. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-05083-6_21
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DOI: https://doi.org/10.1007/978-3-319-05083-6_21
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-05082-9
Online ISBN: 978-3-319-05083-6
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