NUMERICAL EXPERIMENT FOR STABILIZATION OF THE HEAT EQUATION BY DIRICHLET BOUNDARY CONTROL

作者：Halanay A; Murea C M^*; Safta C A

来源：Numerical Functional Analysis and Optimization, 2013, 34(12): 1317-1327.

DOI：10.1080/01630563.2013.808210

• Auto-ignition
• Boundary feedback control
• Ignition control
• Numerical method
• Unstable heat equation in two dimensions

We use the boundary feedback control introduced in Barbu [Boundary stabilization of equilibrium solutions to parabolic equations, IEEE Trans. Automat. Control (accepted)], in order to stabilize an unstable heat equation in two dimensions. We propose two numerical algorithms. The feedback boundary condition is treated explicitly in the first algorithm. At each time step, only one linear system is solved. The second algorithm performs at each time step some subiterations, in order to treat the feedback boundary condition implicitly. The second algorithm can stabilize some problems where the first algorithm fails.

• 出版日期2013-12-2