abstract 59
Bulletin of Computational Applied Mathematics (Bull CompAMa)
59
A fundamental solution for the Laplace operator in a doubly connected domain
Jose Luis Vergara Ibarra, Carmen Judith Vanegas
In this work, we find a harmonic Green function for a doubly connected domain using the theory of conformal mappings and then we define a Poisson kernel. Using these functions an integral representation formula for the solution of the Dirichlet problem for the Poisson equation is derived.
Keywords: Harmonic Green functions; multiply connected domain; conformal invariance.
Cite this paper:
Vergara Ibarra J.L., Vanegas C.J.
A fundamental solution for the Laplace operator in a doubly connected domain
Bull. Comput. Appl. Math. (Bull CompAMa)
Vol. 9, No.1 pp.85-96, 2021.