%0 Journal Article %T A mathematical model and numerical solution of interface problems for steady state heat conduction %A Z. Muradoglu Seyidmamedov %A Ebru Ozbilge %J Mathematical Problems in Engineering %D 2006 %I Hindawi Publishing Corporation %R 10.1155/mpe/2006/20898 %X We study interface (or transmission) problems arising in the steady state heat conduction for layered medium. These problems are related to the elliptic equation of the form Au:=−∇(k(x)∇u(x))=F(x), x∈Ω⊂ℝ2, with discontinuous coefficient k=k(x). We analyse two types of jump (or contact) conditions across the interfaces Γδ−=Ω1∩Ωδ and Γδ %U http://www.hindawi.com/journals/mpe/2006/020898/abs/