University of Hertfordshire

From the same journal

  • P. Stumm
  • A. Walther
  • J. Riehme
  • U. Naumann
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Original languageEnglish
Pages (from-to)339-349
JournalLecture Notes in Computational Science and Engineering
Publication statusPublished - 2008


A common way to solve PDE constrained optimal control problems by automatic differentiation (AD) is the full black box approach. This technique may fail because of the large memory requirement. In this paper we present two alternative approaches. First, we exploit the structure in time yielding a reduced memory requirement. Second, we additionally exploit the structure in space by providing derivatives on a reference finite element. This approach reduces the memory requirement once again compared to the exploitation in time. We present numerical results for both approaches, where the derivatives are determined by the AD-enabled NAGWare Fortran compiler.


The original publication is available at: https// Copyright Springer [Full text of this article is not available in the UHRA]

ID: 99209