Analysis of Boundary Integral Equations for Laplace Dirichlet Bvp In 2d

Fekade, Behailu

dc.contributor.advisor	Gedif, Tsegaye (PhD)
dc.contributor.author	Fekade, Behailu
dc.date.accessioned	2019-11-05T07:41:09Z
dc.date.available	2019-11-05T07:41:09Z
dc.date.issued	2016-08-04
dc.identifier.uri	http://10.6.20.92/xmlui/handle/123456789/19798
dc.description.abstract	Using an appropriate fundamental solution, Dirichlet boundary value problem is reduced to some direct Boundary Integral Equations (BIEs). Although the theory of BIEs in 3D is well developed, the BIEs in 2D need a special consideration due to their di_erent equivalence properties. Consequently, we need to set conditions on the domain for the invertibility of corresponding fundamental based integral layer potentials and hence the unique solvability of BIEs. The properties of corresponding potential operators are investigated. The equivalence of the original BVP and the obtained BIEs are analyzed and the invertibility of the BIE operators is proved.	en_US
dc.language.iso	en	en_US
dc.publisher	Addis Ababa University	en_US
dc.subject	Analysis of Boundary	en_US
dc.subject	Integral Equations	en_US
dc.subject	Laplace Dirichlet Bvp In 2d	en_US
dc.title	Analysis of Boundary Integral Equations for Laplace Dirichlet Bvp In 2d	en_US
dc.type	Thesis	en_US