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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorLi, Tian-cheng-
dc.identifier.urihttps://theses.lib.polyu.edu.hk/handle/200/2324-
dc.languageEnglishen_US
dc.publisherHong Kong Polytechnic University-
dc.rightsAll rights reserveden_US
dc.titleSome numerical and theoretical results on a two-dimensional dam overflow problemen_US
dcterms.abstractThe thesis consists of four chapters and two appendixes. In the first chapter, background of the Dam Overflow problem, the Sobolev spaces, the Finite Element Method as well as other basic PDE concepts are introduced. This chapter also includes and extensive review of the existing related materials. In Chapter 2, the proposed algorithm of the potential function model is presented. Furthermore, a relaxation factor method is adopted in the thesis to achieve a better algorithm for running faster and more stably. In Chapter 3, some theoretical results as well as numerical results are obtained for the stream function model. In Chapter 4, the two methods using the potential function model and the stream function model are compared. Chapter 2, Chapter 3 and Chapter 4 are my major work on the field of the Dam Overflow Problem. In Chapter 5 some reviews on my work are given and some possible directions for future research are indicated. In Appendix A, all the theorems used in this thesis are listed, and in Appendix B, a powerful software called "Finite Element Program Generator (FEPG)" is briefly introduced. The FEPG provides a powerful and convenient tool for coding my programs for the present work.en_US
dcterms.extentiii, 77 leaves : ill. ; 30 cmen_US
dcterms.isPartOfPolyU Electronic Thesesen_US
dcterms.issued2000en_US
dcterms.educationalLevelAll Masteren_US
dcterms.educationalLevelM.Phil.en_US
dcterms.LCSHEngineering -- Mathematical modelsen_US
dcterms.LCSHFinite element methoden_US
dcterms.LCSHHong Kong Polytechnic University -- Dissertationsen_US
dcterms.accessRightsopen accessen_US

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