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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...
In this paper we certify that the same approach proposed in previous works by Chniti [
(2006) 883–886;
(2008) 111–147;
(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...
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