A matching of singularities in domain decomposition methods for reaction-diffusion problems with discontinuous coefficients
In this paper we certify that the same approach proposed in previous works by Chniti [ 342 (2006) 883–886; 45 (2008) 111–147; 38 (2009) 207–228] can be applied to more general operators with strong heterogeneity in the coefficients. We consider here the case of reaction-diffusion problems with piecewise constant coefficients. The problem reduces to determining the coefficients of some transmission conditions to obtain fast convergence of domain decomposition methods. After explaining the theoretical...