Abstract
We are concerned with mathematical analysis related to the bi-pointwise control for a mixed type of wave equation. In particular, we are interested in the systematic build-up of the bi-pointwise control actuators; one at the boundary and the other at the interior point simultaneously. The main purpose is to examine Hilbert Uniqueness Method for the setting of bi-pointwise control actuators and to establish relevant algorithm based on our analysis. After discussing the weak solution for the state equation, we investigate bi-pointwise control mechanism and relevant mathematical analysis based on HUM. We then proceed to set up an algorithm based on the conjugate gradient method to establish bi-pointwise control actuators to halt the system.
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This paper was supported by BSRI-98-1441.
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Kim, H., Lee, Y. On bi-pointwise control of a wave equation and algorithm. Korean J. Comput. & Appl. Math. 7, 507–531 (2000). https://doi.org/10.1007/BF03012265
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DOI: https://doi.org/10.1007/BF03012265