A characteristic Galerkin method with adaptive error control for the continuous casting problem
文献类型：期刊论文
| 作者 | Chen, ZM; Nochetto, RH; Schmidt, A |
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2000 |
| 卷号 | 189期号:1页码:249-276 |
| 关键词 | a posteriori error estimates continuous casting method of characteristics convection-dominated diffusion degenerate parabolic equations |
| ISSN号 | 0045-7825 |
| 英文摘要 | The continuous casting problem is a convection-dominated nonlinearly degenerate diffusion problem. It is discretized implicitly in time via the method of characteristics, and in space via continuous piecewise linear finite elements. A posteriori error estimates are derived for the (LL1)-L-1 norm of temperature which exhibit a mild explicit dependence on velocity. The analysis is based on special properties of a linear dual problem in non-divergence form with vanishing diffusion and strong advection. Several simulations with realistic physical parameters illustrate the reliability of the estimators and the flexibility of the proposed adaptive method. (C) 2000 Elsevier Science S.A. All rights reserved. MSG: 65N15; 65N30; 35K60. |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000089028800011 |
| 出版者 | ELSEVIER SCIENCE SA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14927]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Schmidt, A |
| 作者单位 | 1.Univ Freiburg, Inst Angew Math, D-79104 Freiburg, Germany 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.Univ Maryland, Dept Math, College Pk, MD 20742 USA 4.Univ Maryland, Dept Insect Physiol & Behav, Inst Phys Sci & Technol, College Pk, MD 20742 USA |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Nochetto, RH,Schmidt, A. A characteristic Galerkin method with adaptive error control for the continuous casting problem[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2000,189(1):249-276. |
| APA | Chen, ZM,Nochetto, RH,&Schmidt, A.(2000).A characteristic Galerkin method with adaptive error control for the continuous casting problem.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,189(1),249-276. |
| MLA | Chen, ZM,et al."A characteristic Galerkin method with adaptive error control for the continuous casting problem".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 189.1(2000):249-276. |
入库方式： OAI收割
来源：数学与系统科学研究院
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