| TAILORED FINITE POINT METHOD FOR THE INTERFACE PROBLEM | |
| Huang, Zhongyi | |
| 2010-10-12 ; 2010-10-12 | |
| 关键词 | Tailored finite point method interface problem elliptic equation discontinuous coefficients jump conditions DISCONTINUOUS COEFFICIENTS ELLIPTIC-EQUATIONS ELEMENT METHODS MATCHED INTERFACE SINGULAR SOURCES SIMULATION FLOW Mathematics, Interdisciplinary Applications |
| 中文摘要 | In this paper, we propose a tailored-finite-point method for a numerical simulation of the second order elliptic equation with discontinuous coefficients. Our finite point method has been tailored to some particular properties of the problem, then we can get the approximate solution with the same behaviors as that of the exact solution very naturally. Especially, in one-dimensional case, when the coefficients are piecewise linear functions, we can get the exact solution with only one point in each subdomain. Furthermore, the stability analysis and the uniform convergence analysis in the energy norm are proved. On the other hand, our computational complexity is only O(N) for N discrete points. We also extend our method to two-dimensional problems. |
| 语种 | 英语 ; 英语 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES ; SPRINGFIELD ; PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/81160]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Huang, Zhongyi. TAILORED FINITE POINT METHOD FOR THE INTERFACE PROBLEM[J],2010, 2010. |
| APA | Huang, Zhongyi.(2010).TAILORED FINITE POINT METHOD FOR THE INTERFACE PROBLEM.. |
| MLA | Huang, Zhongyi."TAILORED FINITE POINT METHOD FOR THE INTERFACE PROBLEM".(2010). |
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