The numerical solution of first-kind logarithmic-kernel integral equations on smooth open arcs
نویسندگان
چکیده
منابع مشابه
The Numerical Solution of First - Kind Logarithmic - Kernel Integral Equations on Smooth Open Arcs
Consider solving the Dirichlet problem Au(P) = o, Pem2\s, u(P) = h(P), Pes, sup \u(P)\ < CO, Pes2 with S a smooth open curve in the plane. We use single-layer potentials to construct a solution u(P). This leads to the solution of equations of the form j g(Q)\og\P-Q\dS(Q) = h(P), PeS. This equation is reformulated using a special change of variable, leading to a new first-kind equation with a sm...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1991
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1991-1052084-0