Adaptive finite element methods for the identification of distributed parameters in elliptic equation
文献类型：期刊论文
| 作者 | Feng, Tao1; Yan, Ningning2; Liu, Wenbin3 |
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008-07-01 |
| 卷号 | 29期号:1页码:27-53 |
| 关键词 | parameter identification finite element approximation adaptive finite element methods least-squares Gauss-Newton |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-007-9035-6 |
| 英文摘要 | In this paper, adaptive finite element method is developed for the estimation of distributed parameter in elliptic equation. Both upper and lower error bound are derived and used to improve the accuracy by appropriate mesh refinement. An efficient preconditioned project gradient algorithm is employed to solve the nonlinear least-squares problem arising in the context of parameter identification problem. The efficiency of our error estimators is demonstrated by some numerical experiments. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000257366400002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6448]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Univ Bergen, CIPR, N-5007 Bergen, Norway 2.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England |
| 推荐引用方式 GB/T 7714 | Feng, Tao,Yan, Ningning,Liu, Wenbin. Adaptive finite element methods for the identification of distributed parameters in elliptic equation[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,29(1):27-53. |
| APA | Feng, Tao,Yan, Ningning,&Liu, Wenbin.(2008).Adaptive finite element methods for the identification of distributed parameters in elliptic equation.ADVANCES IN COMPUTATIONAL MATHEMATICS,29(1),27-53. |
| MLA | Feng, Tao,et al."Adaptive finite element methods for the identification of distributed parameters in elliptic equation".ADVANCES IN COMPUTATIONAL MATHEMATICS 29.1(2008):27-53. |
入库方式： OAI收割
来源：数学与系统科学研究院
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