Abstract
We describe a method for solving the Poisson equation on a surface in R3, which, via the introduction of conformal coordinates, reduces the problem to that of solving a system of Fredholm equations of second kind on a union of smooth curves in the plane.
Citation
Charles L. Epstein . Leslie Greengard . "Solving the Poisson Equation on a Surface by Reduction to a 1-Dimensional Problem." Commun. Math. Anal. 8 (1) 26 - 40, 2010.
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