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9781842657157

Adaptive Finite Element Methods Optimal Control Governed by PDEs

by ;
  • ISBN13:

    9781842657157

  • ISBN10:

    1842657151

  • Format: Hardcover
  • Copyright: 2012-01-30
  • Publisher: Alpha Science International
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Summary

Starting with several typical examples of optimal control problems Adaptive Finite Element Methods covers the numerous complexities of the subject, emphasizing the discussions of some unique issues from the adaptive finite element approximation of optimal control. The book highlights the main ideas used in the approximation error analysis in order to derive the error estimates for the state equations. The need, the framework and the techniques of using multi adaptive meshes in developing efficient numerical algorithms for optimal control are emphasized throughout the book, as are the finite element approximation schemes for several typical optimal control problems alongside the derivation of their a priori and a posteriori error estimate.

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