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A matching of singularities in domain decomposition methods for reaction-diffusion problems with discontinuous coefficients. (English) Zbl 1270.65074
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.

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
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