KMS Of Academy of mathematics and systems sciences, CAS
A posteriori error estimates for optimal control problems governed by parabolic equations | |
Liu, WB; Yan, NN | |
2003 | |
发表期刊 | NUMERISCHE MATHEMATIK |
ISSN | 0029-599X |
卷号 | 93期号:3页码:497-521 |
摘要 | In this paper, we derive a posteriori error estimates for the finite element approximation of quadratic optimal control problem governed by linear parabolic equation. We obtain a posteriori error estimates for both the state and the control approximation. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive finite element approximation schemes for the control problem. |
DOI | 10.1007/s002110100380 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000180900500005 |
出版者 | SPRINGER-VERLAG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/18386 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Liu, WB |
作者单位 | 1.Univ Kent, CBS, Canterbury CT2 7PE, Kent, England 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, WB,Yan, NN. A posteriori error estimates for optimal control problems governed by parabolic equations[J]. NUMERISCHE MATHEMATIK,2003,93(3):497-521. |
APA | Liu, WB,&Yan, NN.(2003).A posteriori error estimates for optimal control problems governed by parabolic equations.NUMERISCHE MATHEMATIK,93(3),497-521. |
MLA | Liu, WB,et al."A posteriori error estimates for optimal control problems governed by parabolic equations".NUMERISCHE MATHEMATIK 93.3(2003):497-521. |
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