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On the finite element approximation of the boundary control for two-phase stefan problems

  • P. Neittaanmäki
  • D. Tiba
Session 7 Distributed Parameter Systems
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)

Abstract

A boundary control for a two-phase Stefan problem is considered. The problem is regularized by utilizing the Yosida approximation and the Friedrichs mollifier. Next it is discretized by finite elements in space and finite differences in time. The solution of these auxiliary problems are shown to be minimizing sequences for the original problem when certain parameters approach to zero. A gradient algorithm is presented for the discretized problem. Numerical test example illustrates the efficiency of the methods.

Keywords

Variational Inequality Boundary Control Gradient Algorithm Maximal Monotone Operator Finite Element Approximation 
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.

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • P. Neittaanmäki
    • 1
  • D. Tiba
    • 2
  1. 1.Department of Physics and MathematicsLappeenranta University of TechnologyLappeenranta 85Finland
  2. 2.Department of MathematicsINCRESTBucurestiRomania

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