Summary
In this note we show how the convergence analysis of numerical algorithms for the computation of internal controls for the wave equation depends on the Group Velocity properties of the numerical scheme used to discretize the wave equation. This is done by means of theory of Wigner measures associated to discrete functions developed in [7]. Some results on the convergence of partial controls are also given.
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Macià, F. (2003). The Effect of Group Velocity in the Numerical Analysis of Control Problems for the Wave Equation. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_31
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DOI: https://doi.org/10.1007/978-3-642-55856-6_31
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