Differential Equations
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Date
2016-07-07
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Addis Ababa University
Abstract
This paper considers the numerical solution of boundary integral equations of the sec-
ond kind, for Laplace's equation _u = 0 on connected regions in R3 with bound-
ary @. The boundary @ is allowed to be smooth or piecewise smooth; and we let
f4kj1 _ k _ ng be a triangulation of @. The paper will focus on the derivation of
the boundary integral equation (BIE) for the Laplace equation, and numerical results
are presented for some examples using constant elements.
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Keywords
Boundary Integral Equations, Laplace Equation, Numerical Solutions Using Matlab