Elliptic Problems in Nonsmooth Domains<br/>

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Elliptic Problems in Nonsmooth Domains

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 47122 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Fotouhi Firouzabad, Morteza
Abstract:
The In this thesis, we focus are attention on elliptic boundry value problems in domain with nonsmooth boundaries and problems with mixed boundry conditions. Indeed most of the available mathematical theories about elliptic boundry value problems deal with domains with very smooth boundaries;few of them deal with mixed boundry conditions.However, the majority of the elliptic boundry value problems which arise in practice are naturally posed in domains whose geometry is simlpe but not smooth. These domains are very often three-dimensional polyhedra. For the purpose of solving them numerically these problems are usually reduced to two-dimensional domains. Thus the domains are plane polygons and the boundry conditions are mixed. Accordingly this thesis is primarily intended for mathematicians working in the field of elliptic partial differential equations as well as for numerical analysts and users of such elliptic equations
Keywords:
Dirichelt Boundary Condition ; Neumann Problem ; Elliptic Differential Equations ; Nonsmooth Domains