A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM
文献类型：期刊论文
| 作者 | Talaat Abdelhamid; Xiaomao Deng; Rongliang Chen |
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2017 |
| 文献子类 | 期刊论文 |
| 英文摘要 | This paper studies a regularization approach for simultaneously reconstructing spacetime dependent Robin coefficient (x, t) and heat flux q(x, t). The differentiability results and adjoint systems are established. A standard finite element method (FEM) is employed to discretize the constrained optimization problem which is reduced to a sequence of unconstrained optimization problem by adding regularization terms. We propose an improved algorithm for the introduced problem based on modified conjugate gradient method (MCGM) for quadratic minimization. Numerical experiments present the efficiency, accuracy, and robustness of the proposed algorithm. |
| URL标识 | 查看原文 |
| 语种 | 英语 |
| WOS记录号 | WOS:000429094100007 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/12582]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING |
| 推荐引用方式 GB/T 7714 | Talaat Abdelhamid,Xiaomao Deng,Rongliang Chen. A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2017. |
| APA | Talaat Abdelhamid,Xiaomao Deng,&Rongliang Chen.(2017).A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. |
| MLA | Talaat Abdelhamid,et al."A NEW METHOD FOR SIMULTANEOUSLY RECONSTRUCTING THE SPACE-TIME DEPENDENT ROBIN COEFFICIENT AND HEAT FLUX IN A PARABOLIC SYSTEM".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING (2017). |
入库方式： OAI收割
来源：深圳先进技术研究院
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