Numerical methods for Stefan problems with prescribed convection and nonlinear flux
文献类型：期刊论文
| 作者 | Chen, ZM; Shih, T; Yue, XY |
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2000 |
| 卷号 | 20期号:1页码:81-98 |
| 关键词 | piecewise linear finite elements numerical quadrature convergence Stefan problem with convection nonlinear flux |
| ISSN号 | 0272-4979 |
| 英文摘要 | This paper deals with numerical methods for a class of nonlinear degenerate parabolic equations with nonlinear flux boundary conditions, which in particular includes the well-known continuous casting Stefan problem. A practical piecewise linear finite element scheme with numerical integration which is based on an implicit discretization of the diffusion and an explicit approximation of the enthalpy-dependent convection is proposed. The convergence of the scheme is proved without requiring the quasi-uniformity and the acuteness of the finite element meshes. The key ingredient of the analysis is an estimate on the fractional derivative in time of the discrete temperature which provides the necessary strong convergence property. The results of some numerical tests are provided in order to show the accuracy of the scheme. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085067600004 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14990]  |
| 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 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong 3.Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Shih, T,Yue, XY. Numerical methods for Stefan problems with prescribed convection and nonlinear flux[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2000,20(1):81-98. |
| APA | Chen, ZM,Shih, T,&Yue, XY.(2000).Numerical methods for Stefan problems with prescribed convection and nonlinear flux.IMA JOURNAL OF NUMERICAL ANALYSIS,20(1),81-98. |
| MLA | Chen, ZM,et al."Numerical methods for Stefan problems with prescribed convection and nonlinear flux".IMA JOURNAL OF NUMERICAL ANALYSIS 20.1(2000):81-98. |
入库方式： OAI收割
来源：数学与系统科学研究院
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