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- W8309999 abstract "The present article is concerned with boundary control stabilization of semi-linear parabolic systems which are unstable if uncontrolled. A particular emphasis is put on Dirichlet control in that context. We investigate two different numerical approaches to solve these problems. The first approach relies on the extension method proposed by A.V. Fursikov where the considered partial differential equations are first solved on an extended domain with suitable initial value leading a stable solution. The needed control is then de-fined as an appropriate trace of this solution. The second approach relies on the formulation of the stabilization problem as an optimization problem with constraints based on partial differential equations. We address the numerical issues related to both class of approaches toward a comparison of their specific stabilization properties. The considered methodology is applied to the solution of test parabolic problems assuming linear and nonlinear models." @default.
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- W8309999 date "2007-01-01" @default.
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- W8309999 title "On Two Numerical Approaches for the Boundary Control Stabilization of Semi-linear Parabolic Systems: A Comparison" @default.
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- W8309999 doi "https://doi.org/10.1007/978-3-7643-7721-2_5" @default.
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