15. Direct Mehtod of Lines for Solving an Elliptic Transmission Problem
Tony Fan-Cheong Chan, Takashi Kako, Hiroshi Kawarada, Olivier Pironneau, Kiyoshi Kitahara, Hideyuki Koshigoe · 2001
The object of this paper is to present the numerical algorithm to obtain a finite difference solution for an elliptic transmission problem by use of the direct method of lines ([Nak65],[KK98], [KK99]). Let Π be a rectangular domain in R 2,Ω1 be an open subset of Π and Ω2 =Π \\ Ω1, Γ=∂Ω1 (see Figure 1). Then the elliptic transmission