Finite Diierence Methods for Poisson's Equation with Interfaces
نویسندگان
چکیده
In this paper, a weak formulation of the discontinuous variable co-eecient Poisson equation with interfacial jumps is introduced. The existence, uniqueness and regularity of solutions of the Poisson equation are obtained. Finite diierence methods can be derived from the weak formulation. An abstract framework is given for proving convergence of the nite diierence methods for such problems. The nite diierence method developed in 9] is proven to be convergent.
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