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Introduction to Part IV Discretization: Concepts and Analysis

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

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.

Keywords

Optimal Control Problem Phase Field Model Optimal Convergence Rate Parabolic PDEs Boundary Control Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Fachbereich Mathematik Optimierung und ApproximationUniversität HamburgHamburgGermany

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