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A Matlab guide for the numerical approximation of the exact control and stabilization of the wave equation

This webpage contains a free software to compute the control of the wave equation with Matlab.

Features

With wave control you can explore the following:

  • Exact control of the 1-d wave equation with finite differences and mixed finite elements when the control acts in one extreme.
  • Exact control of the 2-d wave equation with finite differences and mixed finite elements when the control acts in the boundary.
  • The stabilization of the 1-D wave equation in an interval with a damping acting on an internal subset, discretized with finite differences and numerical viscosity.
  • The stabilization of the 2-D wave equation in a square with a damping acting on an internal set, discretized with finite differences and numerical viscosity.

Some views are given below,

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Authors: C. Castro, M. Cea, S. Micu, A. Munch, M. Negreanu, Enrique Zuazua
January, 2018