Computing and Visualization in Science

, Volume 7, Issue 3–4, pp 183–188

An efficient algebraic multigrid method for solving optimality systems

Regular article

DOI: 10.1007/s00791-004-0148-x

Cite this article as:
Borzì, A. & Borzì, G. Comput. Visual Sci. (2004) 7: 183. doi:10.1007/s00791-004-0148-x

Abstract

An algebraic multigrid method (AMG) for solving convection-diffusion optimality systems is presented. Results of numerical experiments demonstrate robustness of the AMG scheme with respect to changes of the weight of the cost of the control and show that the computational performance of the proposed AMG scheme is comparable to that of AMG applied to single scalar equations.

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Institut für MathematikKarl-Franzens-Universität GrazGrazAustria
  2. 2.Department of MathematicsUniversity of MessinaMessinaItaly

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