Chniti, Chokri A matching of singularities in domain decomposition methods for reaction-diffusion problems with discontinuous coefficients. (English) Zbl 1270.65074 ESAIM, Math. Model. Numer. Anal. 45, No. 1, 23-37 (2011). The author considers a domain decomposition solution for a mixed boundary value problem attached to some reaction-diffusion equations involving strong heterogeneous coefficients. Actually, he determines the coefficients of some transmission conditions in order to obtain a fast convergence of the domain decomposition. Some numerical experiments are carried out. Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) Cited in 1 Document MSC: 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations 35R05 PDEs with low regular coefficients and/or low regular data 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:reaction-diffusion problems; heterogeneous coefficients; corner singularity; domain decomposition; Kondratiev theory; transmission conditions; convergence; mixed boundary value problem; numerical experiments PDF BibTeX XML Cite \textit{C. Chniti}, ESAIM, Math. Model. Numer. Anal. 45, No. 1, 23--37 (2011; Zbl 1270.65074) Full Text: DOI