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| A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES | |
| 引用本文： | 郑宏 刘德富 李焯芬 谭国焕. A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES[J]. 应用数学和力学(英文版), 2005, 26(3): 396-406. DOI: 10.1007/BF02440091 |
| 作者姓名： | 郑宏 刘德富 李焯芬 谭国焕 |
| 作者单位： | [1]CollegeofCivil＆HydroelectricEngineering,ThreeGorgesUniversity,Yichang443002,HubeiProvince,P.R.China／／InstituteofRock＆SoilMechanics,ChineseAcademyofSciences,Wuhan430071,P.R.China [2]CollegeofCivil＆HydroelectricEngineering,ThreeGorgesUniversity,Yichang443002,HubeiProvince,P.R.China [3]DepartmentofCivilEngineering,TheUniversityofHongKong,HongKong,P.R.China |
| 基金项目： | ProjectsupportedbytheOutstandingYoungsterFoundationoftheScienceandTechnologyCommis sionofHubeiProvinceofChina (No .2 0 0 2 1 2 2 ) |
| 摘 要： | IntroductionTherearetwoclassesofsolutionsforseepageproblemswithfreesurfaces ,i.e .,theadaptivemeshmethodsandthefixedmeshmethods.Theadaptivemeshmethodsinvolvetoolargeamountofcomputationforinhomogeneoussoilsandoftenleadtodivergentcalculations,andhence,arenowbeingsupercededbythefixedmeshmethods.Thefixedmeshmethodsfallintotwocategories,theintuitivemethodsandthevariationalinequalitymethods.Theintuitivemethods[1- 3]establishusuallytheiterativeproceduresbaseduponthefactthatthereisnodischargebetweenth… |
| 关 键 词： | 自由边界问题 渗流测量 有限元 变量不等式 |
| 收稿时间： | 2004-08-17 |
A new variational inequality formulation for seepage problems with free surfaces |
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| Zheng Hong,Liu De-fu,C. F. Lee,L. G. Tham. A new variational inequality formulation for seepage problems with free surfaces[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(3): 396-406. DOI: 10.1007/BF02440091 | |
| Authors: | Zheng Hong Liu De-fu C. F. Lee L. G. Tham |
| Affiliation: | 1. College of Civil & Hydroelectric Engineering, Three Gorges University, Yichang 443002, Hubei Province, P.R. China;Institute of Rock & Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R.China 2. College of Civil & Hydroelectric Engineering, Three Gorges University, Yichang 443002, Hubei Province, P.R. China 3. Department of Civill Engineering, The University of Hong Kong, Hong Kong, P.R. China |
| Abstract: | A new variational inequality formulation for seepage problems with free surfaces was presented, in which a boundary condition of (Signorini's) type was prescribed over the potential seepage surfaces. This made the singularity of seepage points eliminated and the location of seepage points determined. Compared to other variational formulations, the proposed formulation owns better numerical stability. |
| Keywords: | free boundary problem seepage variational inequality finite element |
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