On a Boundary Integral Method for the Solution of the Heat Equation in Unbounded Domains with a Nonsmooth Boundary

Olaf Hansen · Journal of Integral Equations and Applications · 2000

We study a boundary integral method for the solution of the heat equation in an unbounded domain D in R 2 .It is assumed that the boundary of D is a polygon Γ = ∂D and that R 2 \ D is a simply connected domain.We use a method which was proposed by Chapko and Kress [2] for the case of a smooth bounded domain D and analyze this method in the presence of a boundary with corners.

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