A Crank-Nicholson Domain Decomposition Method for Optimal Control Problem of Parabolic Partial Differential Equation
A parallel domain decomposition algorithm is considered for solving an optimal control problem governed by a parabolic partial differential equation. The proposed algorithm relies on non-iterative and non-overlapping domain decomposition, which uses some implicit sub-domain problems and explicit flux approximations at each time step in every iteration. In addition, outer iterations are introduced to achieve the parallelism. Numerical experiments are supplied to show the efficiency of our proposed method.
- 1.J. Chen, D. Yang, Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations (revised)Google Scholar
- 2.J. Chen, D. Yang, Parallel Crank-Nicolson and Dawson-Dupont type domain decomposition procedure for optimal control problem governed by parabolic equation (in preparation)Google Scholar