Domain Decomposition Methods and Parallel Computing for Optimal Control and Inverse Problems
文献类型：会议论文
| 作者 | Xiaomao Deng; Xiao-chuan Cai; y Jun Zouz |
| 出版日期 | 2015 |
| 会议名称 | International Conference on Domain Decomposition Method (DD23) |
| 会议地点 | 韩国济州岛 |
| 英文摘要 | In this talk, we develop a parallel method for identifying the time-dependent diffusive coefficient in the diffusion equation. By formulating the inverse problem into a PDE-constrained optimization problem, we use a fully implicit, mixed FE/FD discretization scheme for its nonlinear KKT system. To achieve high degree of parallelization on current high performance computers, we extend the classical Schwarz preconditioner into a space-time Schwarz preconditioner, domain decomposition is performed in the space-time coupled domain. Combined with the proposed pre-conditioner, we use a Newton-Krylov-Space-time-Schwarz method to solve the fully coupled system all at once. Numerical experiments show that our algorithm is efficient in identifying the diffusive coefficient, and scalable with respect to more than 1,000 processors. |
| 收录类别 | EI |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/7014]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | 2015 |
| 推荐引用方式 GB/T 7714 | Xiaomao Deng,Xiao-chuan Cai,y Jun Zouz. Domain Decomposition Methods and Parallel Computing for Optimal Control and Inverse Problems[C]. 见:International Conference on Domain Decomposition Method (DD23). 韩国济州岛. |
入库方式： OAI收割
来源：深圳先进技术研究院
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