Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity
文献类型：期刊论文
| 作者 | Chen, ZM; Dai, SB |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2001-02-08 |
| 卷号 | 38期号:6页码:1961-1985 |
| 关键词 | a posteriori error estimates Ginzburg Landau vortices superconductivity adaptive nonlinear PDEs |
| ISSN号 | 0036-1429 |
| 英文摘要 | The time-dependent Ginzburg-Landau model which describes the phase transitions taking place in superconductors is a coupled system of nonlinear parabolic equations. It is discretized semi-implicitly in time and in space via continuous piecewise linear finite elements. A posteriori error estimates are derived for the (LL2)-L-infinity norm by studying a dual problem of the linearization of the original system, other than the dual of error equations. Numerical simulations are included which illustrate the reliability of the estimators and the flexibility of the proposed adaptive method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000167675400008 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15868]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, ZM |
| 作者单位 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Dai, SB. Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2001,38(6):1961-1985. |
| APA | Chen, ZM,&Dai, SB.(2001).Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity.SIAM JOURNAL ON NUMERICAL ANALYSIS,38(6),1961-1985. |
| MLA | Chen, ZM,et al."Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity".SIAM JOURNAL ON NUMERICAL ANALYSIS 38.6(2001):1961-1985. |
入库方式： OAI收割
来源：数学与系统科学研究院
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