Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem
We present an estimate for the convergence rate of the Dirichlet-Neumann iteration for the discretized unsteady transmission problem. Specifically, we consider the coupling of two heat equations on two identical squared domains. The Laplacian is discretized by second order central finite differences and the implicit Euler method is used for the time discretization. For the semidiscrete case, Hensh