Introduction to Part IV Discretization: Concepts and Analysis

  • Michael HinzeEmail author
Part of the International Series of Numerical Mathematics book series (ISNM, volume 165)


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.


Optimal Control Problem Phase Field Model Optimal Convergence Rate Parabolic PDEs Boundary Control Problem 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Fachbereich Mathematik Optimierung und ApproximationUniversität HamburgHamburgGermany

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