Multigrid Methods for PDE Optimization

  • Authors:
  • Alfio Borzì;Volker Schulz

  • Affiliations:
  • alfio.borzi@unisannio.it;volker.schulz@uni-trier.de

  • Venue:
  • SIAM Review
  • Year:
  • 2009

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Abstract

Research on multigrid methods for optimization problems is reviewed. Optimization problems considered include shape design, parameter optimization, and optimal control problems governed by partial differential equations of elliptic, parabolic, and hyperbolic type.