Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients
文献类型：期刊论文
| 作者 | Xia, Kelin1,2; Zhan, Meng2; Wan, Decheng3; Wei, Guo-Wei1,4 |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2012-02-20 |
| 卷号 | 231期号:4页码:1440-1461 |
| 关键词 | Elliptic equations Material interfaces Mesh deformation method Matched interface and boundary |
| 英文摘要 | Mesh deformation methods are a versatile strategy for solving partial differential equations (PDEs) with a vast variety of practical applications. However, these methods break down for elliptic PDEs with discontinuous coefficients, namely, elliptic interface problems. For this class of problems, the additional interface jump conditions are required to maintain the well-posedness of the governing equation. Consequently, in order to achieve high accuracy and high order convergence, additional numerical algorithms are required to enforce the interface jump conditions in solving elliptic interface problems. The present work introduces an interface technique based adaptively deformed mesh strategy for resolving elliptic interface problems. We take the advantages of the high accuracy, flexibility and robustness of the matched interface and boundary (MIB) method to construct an adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients. The proposed method generates deformed meshes in the physical domain and solves the transformed governed equations in the computational domain, which maintains regular Cartesian meshes. The mesh deformation is realized by a mesh transformation PDE, which controls the mesh redistribution by a source term. The source term consists of a monitor function, which builds in mesh contraction rules. Both interface geometry based deformed meshes and solution gradient based deformed meshes are constructed to reduce the L-infinity and L-2 errors in solving elliptic interface problems. The proposed adaptively deformed mesh based interface method is extensively validated by many numerical experiments. Numerical results indicate that the adaptively deformed mesh based interface method outperforms the original MIB method for dealing with elliptic interface problems. (C) 2011 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 研究领域[WOS] | Computer Science ; Physics |
| 关键词[WOS] | FINITE-ELEMENT-METHOD ; BOUNDARY MIB METHOD ; DISCRETE SINGULAR CONVOLUTION ; MATCHED INTERFACE ; NUMERICAL-SIMULATION ; HARMONIC MAPS ; FLOWS ; DIMENSIONS ; GENERATION ; PRINCIPLE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000300462100019 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1611]  |
| 专题 | 武汉物理与数学研究所_理论与交叉研究部 |
| 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.Shanghai Jiao Tong Univ, State Key Lab Ocean Engn, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200240, Peoples R China 4.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,Wan, Decheng,et al. Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2012,231(4):1440-1461. |
| APA | Xia, Kelin,Zhan, Meng,Wan, Decheng,&Wei, Guo-Wei.(2012).Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients.JOURNAL OF COMPUTATIONAL PHYSICS,231(4),1440-1461. |
| MLA | Xia, Kelin,et al."Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients".JOURNAL OF COMPUTATIONAL PHYSICS 231.4(2012):1440-1461. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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