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

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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.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

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