MIB method for elliptic equations with multi-material interfaces
文献类型：期刊论文
| 作者 | Xia, Kelin1,2; Zhan, Meng2; Wei, Guo-Wei1,3 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 230期号:12页码:4588-4615 |
| 关键词 | Immersed boundary method Immersed interface method Ghost fluid method Matched interface and boundary Elliptic equations Multiple material interfaces Triple-junctions |
| 产权排序 | 第一 |
| 通讯作者 | Guo-Wei Wei |
| 英文摘要 | Elliptic partial differential equations (PDEs) are widely used to model real-world problems. Due to the heterogeneous characteristics of many naturally occurring materials and man-made structures, devices, and equipments, one frequently needs to solve elliptic PDEs with discontinuous coefficients and singular sources. The development of high-order elliptic interface schemes has been an active research field for decades. However, challenges remain in the construction of high-order schemes and particularly, for nonsmooth interfaces, i.e., interfaces with geometric singularities. The challenge of geometric singularities is amplified when they are originated from two or more material interfaces joining together or crossing each other. High-order methods for elliptic equations with multi-material interfaces have not been reported in the literature to our knowledge. The present work develops matched interface and boundary (MIB) method based schemes for solving two-dimensional (2D) elliptic PDEs with geometric singularities of multi-material interfaces. A number of new MIB schemes are constructed to account for all possible topological variations due to two-material interfaces. The geometric singularities of three-material interfaces are significantly more difficult to handle. Three new MIB schemes are designed to handle a variety of geometric situations and topological variations, although not all of them. The performance of the proposed new MIB schemes is validated by numerical experiments with a wide range of coefficient contrasts, geometric singularities, and solution types. Extensive numerical studies confirm the designed second order accuracy of the MIB method for multi-material interfaces, including a case where the derivative of the solution diverges. (C) 2011 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 研究领域[WOS] | Computer Science ; Physics |
| 关键词[WOS] | DISCRETE SINGULAR CONVOLUTION ; FINITE-DIFFERENCE METHODS ; EMBEDDED BOUNDARY METHOD ; MATCHED INTERFACE ; DISCONTINUOUS COEFFICIENTS ; IRREGULAR DOMAINS ; MAXWELLS EQUATIONS ; COMPLEX GEOMETRIES ; NUMERICAL-ANALYSIS ; POISSONS-EQUATION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000291125400013 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1777]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Michigan State Univ, Dept Math, E Lansing, MI 48824 USA 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 3.Michigan State Univ, Dept Elect & Comp Engn, E Lansing, MI 48824 USA |
| 推荐引用方式 GB/T 7714 | Xia, Kelin,Zhan, Meng,Wei, Guo-Wei. MIB method for elliptic equations with multi-material interfaces[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2011,230(12):4588-4615. |
| APA | Xia, Kelin,Zhan, Meng,&Wei, Guo-Wei.(2011).MIB method for elliptic equations with multi-material interfaces.JOURNAL OF COMPUTATIONAL PHYSICS,230(12),4588-4615. |
| MLA | Xia, Kelin,et al."MIB method for elliptic equations with multi-material interfaces".JOURNAL OF COMPUTATIONAL PHYSICS 230.12(2011):4588-4615. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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